CN108760020A - Fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser - Google Patents
Fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser Download PDFInfo
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Abstract
The fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser that the present invention relates to a kind of, firstly the need of the accurate intrinsic frequency and Mode Shape for obtaining fiber composite thin plate, then Non-Linear Vibration characterization test is carried out to the test thinking of time-frequency domain again according to from time domain to frequency domain, the specific steps are：Test each rank intrinsic frequency of fiber composite thin plate；Each rank Mode Shape of fiber composite thin plate is tested according to intrinsic frequency；The non-linear characterization test of harmonic distortion；Nonlinear time-varying damps characterization test；Firmly/soft linear Stiffness characterization test；Nonlinear dampling characterization test is relied on amplitude；Nonlinear Jump characterization test；Super/non-linear characterization test of subharmonic resonance；The non-linear characterization test of internal resonance.The method of the present invention is characterized by once testing a variety of Non-Linear Vibrations of available fiber composite thin plate, and test result is more accurate, and testing efficiency improves, and the method system to establish the type composite construction Non-Linear Vibration test provides important references.
Description
Technical field
The present invention relates to a kind of vibration test technology, specially a kind of fiber composite thin plate based on vibration measurement with laser is non-linear
Vibration characterization test method.
Background technology
The damping vibration attenuation ability that fibre reinforced composites specific strength is high, specific modulus is high, thermal stability is good, also certain,
It is therefore widely used in the key areas such as Aeronautics and Astronautics, ship, weapon industry.Largely pass through currently, engineering exists in practice
Exemplary complex thin-slab structure part made of the type material, such as solar energy sailboard, aeroengine fan blades and large-scale wind
Power machine blade etc..However, since fibre reinforced composites are different from conventional material, performance has apparent anisotropy,
Its macroscopical thin-slab structure part also shows the vibration characteristics such as non-linear rigidity and damping.For example, its intrinsic frequency can be with the external world
The increase of exciting amplitude will appear reduction, and soft non-linear rigidity feature is presented；Its damping parameter is also by extraneous exciting amplitude
And the influence of frequency variation.Above-mentioned non-linear behavior is brought to traditional vibration-testing and analysis method based on linear equivalence
Prodigious difficult and challenge.
Although people have carried out a large amount of research work to fiber-reinforced composite thin-slab structure, it is most with linearly shake
Dynamic problem is related, carries out the relatively fewer of testing research to its Non-Linear Vibration feature and behavior.It non-linear is ground ongoing
In studying carefully, research direction focuses mostly in parsing and emulation level, and the experiment test research carried out also is used for the purpose of verification parsing
As a result correctness, test content is not abundant enough, does not form the accurate test method of a set of science and flow, can not
The phenomenon that detailed characterizations go out multiple Non-Linear Vibrations of fiber reinforcement composite sheet simultaneously.For this reason, it is necessary to continue to study its non-
Linear oscillator experimental technique, especially should be in the survey in improving a variety of non-linear phenomenas of fiber-reinforced composite thin plate while test process
It tries precision and testing efficiency etc. and puts into bigger energy.
Currently, disclosure satisfy that the technical solution of the demand, there is not been reported.
Invention content
A set of science is not formed for fiber composite thin plate Non-Linear Vibration characterization test in the prior art accurately to survey
Method for testing and flow, can not detailed characterizations the phenomenon that going out multiple Non-Linear Vibrations of fiber reinforcement composite sheet etc. be no simultaneously
Foot, the problem to be solved in the present invention are to provide that a kind of testing efficiency is high, the high fiber based on vibration measurement with laser of accurate testing degree is multiple
Close thin plate Non-Linear Vibration characterization test method.
In order to solve the above technical problems, the technical solution adopted by the present invention is：
A kind of fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser of the present invention, it is necessary first to accurate
The intrinsic frequency and Mode Shape of fiber composite thin plate are really obtained, is then thought again to the test of time-frequency domain according to from time domain to frequency domain
Road carries out Non-Linear Vibration characterization test, includes the following steps：
1) intrinsic frequency of each rank of fiber composite thin plate is tested；
2) Mode Shape of each rank of fiber composite thin plate is obtained according to the intrinsic frequency of each rank of fiber composite thin plate；
3) the non-linear characterization test of harmonic distortion；
4) nonlinear time-varying damps characterization test；
5) hard/soft linear Stiffness characterization test；
6) the nonlinear dampling characterization test relied on amplitude；
7) Nonlinear Jump characterization test；
8) surpass/non-linear characterization test of subharmonic resonance：
9) the non-linear characterization test of internal resonance.
Step 9) is on the basis of accurately obtaining each rank intrinsic frequency of composite sheet by step 1), to judge the intrinsic frequency of each rank
Rate whether there is the frequency relation at integer ratio, if it is present carrying out the non-linear characterization test of internal resonance, internal resonance to it
Non-linear characterization test bag includes following steps：
901) theoretical calculation internal resonance intrinsic frequency and composite sheet processing and manufacturing：
First, it in interior resonance inherent frequency theoretical calculation link, needs to realize intrinsic frequency by integral multiple compatibility method
It calculates, and determines the macro-size relationship of composite sheet a, b, h；In the link of processing and manufacturing composite sheet, tested in conjunction with itself
Condition, producer's working condition, and under the premise of ensureing reliable technological requirement, it is final to determine each of fiber-reinforced composite thin plate
Layer is laid with parameter, and prepares the macroscopical plate for meeting internal resonance test request；
902) judgement of internal resonance integral multiple relation and coordination：
Judge whether internal resonance the intrinsic frequency f1 and f2 of the composite sheet of actual test meet integral multiple relation, if actual measurement
F1 and f2 be unsatisfactory for integral multiple relation, then carry out the fine tuning of structural parameters, composite sheet be clamped again using fixture, by not
The disconnected method coordinated, finally makes its intrinsic frequency that integral multiple relation be presented；
903) covibration characterization test：
On the basis of ensureing to complete above-mentioned link, characterization test is carried out to the non-linear internal resonance problem of composite sheet and is ground
Study carefully, summarizes experimental phenomena, and conclude its changing rule.
In step 1), the intrinsic frequency of test each rank of fiber composite thin plate includes：
101) provisional value of each rank intrinsic frequency of composite sheet is measured using hammering method, and by vibration test system, with
The mode of basic excitation carries out it tentering swept frequency excitation, scanning band be selected as tested rank intrinsic frequency 75%~
125%；
102) sweep check is carried out to composite sheet using laser vibration measurer, and obtains the three-dimensional waterfall under swept frequency excitation
Figure；
103) by recognizing peak value of response and its frequency values on three-dimensional Waterfall plot, carry out the accurate each rank for obtaining composite sheet
Intrinsic frequency.
In step 2), the Mode Shape for obtaining each rank of fiber composite thin plate includes：
201) after the intrinsic frequency that test obtains composite sheet, it is determined using the vibration test system developed
Frequency encourages, it is made to reach resonance state at tested rank intrinsic frequency；
202) in selected response point position, a lightweight acceleration transducer is arranged, and be set as reference point；
203) the laser scanning wire frame model of composite sheet is established, and is progressively scanned by laser scanning system, together
The signal of the scanning signal and reference point of each row of composite sheet that Shi Jilu acceleration transducers and laser vibration measurer obtain；
204) the transport function for obtaining scanning signal and reference point signal, extracts its amplitude and phase information, and to this
A little data carry out pretreatment and reduction processing, then data are loaded on the wire-frame model of fiber-reinforced composite thin plate by treated
To realize that the drafting of tested rank Mode Shape, this step of repetition obtain each rank Mode Shape successively.
In step 3), the non-linear characterization test of harmonic distortion is：
301) non-linear basic skills is obtained from time domain angle, according to the fiber composite thin plate quilt that test obtains in step 1)
The intrinsic frequency for surveying rank, encourages composite sheet, and it is above-mentioned to test its under tested rank resonant frequency and anti-resonance frequency respectively
Vibratory response under driving frequency；
302) from the spectrogram of vibration response signal response signal frequency content, the time domain waveform of binding signal,
Differentiate that composite structural system whether there is harmonic distortion phenomenon.
In step 4), nonlinear time-varying damping characterization test includes：
401) on the basis of step 1 accurately obtains composite sheet and is tested rank intrinsic frequency, excitation amplitude is chosen, and swash
It sends out it and reaches tested rank resonance state；
402) after stablizing, stop encouraging, under the final entry excitation amplitude, composite sheet is in tested rank resonance state
Under time domain decaying vibratory response；
403) Hilbert conversion process is carried out to the time domain deamplification, obtains the envelope of deamplification, it is non-obtains its
Linear time-varying damping parameter；
404) step 401)~403 are repeated), the nonlinear time-varying damping of different orders is obtained successively.
In step 5), hard/soft linear Stiffness characterization test includes：
501) composite sheet accurately obtained in step 1) is tested rank intrinsic frequency, selects to be tested rank intrinsic frequency
75%~125% is used as scanning band, and respectively under different excitation amplitudes, frequency sweep is carried out to composite sheet, obtains different sharp
Encourage the frequency response curve under amplitude；
502) the corresponding intrinsic frequency of different excitation amplitudes is picked out, if with the increase of excitation amplitude, composite sheet
Intrinsic frequency present reduce trend, then its appear as soft linear Stiffness feature；If with the increase of excitation amplitude,
Increased trend is presented in intrinsic frequency, then shows rigid linear Stiffness feature.
In step 6), the nonlinear dampling characterization test relied on amplitude includes：
601) composite sheet accurately obtained in step 1) is tested rank intrinsic frequency, selects to be tested rank intrinsic frequency
75%~125% is used as scanning band, and obtains frequency response curve of the composite sheet under different excitation amplitudes respectively；
602) according to classical half-power bandwidth method, the corresponding damping of the different excitation amplitudes of identification acquisition, and its resistance is studied
The non-linear relation of Buddhist nun and dynamic excitation amplitude.
In step 7), Nonlinear Jump characterization test includes：
701) it selects the 75%~125% of tested rank intrinsic frequency as scanning band, and in same excitation amplitude
Under multiple sweep rates, composite sheet is just being swept and inverse is sweeping excitation；
702) laser vibration measurer is utilized to obtain time-domain response curve and frequency response curve under swept frequency excitation；
703) by recognizing the steep and verticality of curve near frequency response curve peak value, to judge THIN COMPOSITE
Plate whether there is Nonlinear Jump phenomenon.
In step 8), super/non-linear characterization test bag of subharmonic resonance includes：
801) after the intrinsic frequency that test obtains composite sheet, be tested rank intrinsic frequency 1/n times or n times, (n is
Integer) excited frequency fixed frequency carried out to composite sheet encourage, reach forced vibration state；
802) its each frequency content from the spectrogram of response signal, and the time domain waveform of binding signal differentiate
Whether while there are excited frequency, and frequency values larger there is also amplitude are equal to showing for intrinsic frequency to composite structural system
As if it is present showing composite sheet, there are superharmonic resonances or subharmonic resonance phenomenons.
The invention has the advantages that and advantage：
1. the method for the present invention has the characteristics that testing efficiency height, accurate testing, the testing process proposed can be to establish
The method system of the type composite structural system Non-Linear Vibration test provides important references.
2. this method can complete the survey characterized to a variety of Non-Linear Vibrations of same fiber composite thin plate in primary test
Examination, and more accurately test result is obtained, it greatly reduces testing stand and builds the required time, and then reduce test institute
The time needed, improve testing efficiency.
Description of the drawings
Fig. 1 is is built examination the present invention is based on the fiber composite thin plate Non-Linear Vibration characterization test method of vibration measurement with laser
The overview of test test system；
Fig. 2 is the operation interface diagram based on LabVIEW laser scanning control softwares in the present invention；
Fig. 3 A are that the 1st rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 3 B are that the 2nd rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 3 C are that the 3rd rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 3 D are that the 4th rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 3 E are that the 5th rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 3 F are that the 6th rank Mode Shape figure of fiber composite thin plate is tested in the present invention；
Fig. 4 A are the time-domain diagram of pumping signal in the present invention；
Fig. 4 B are the frequency domain figure of pumping signal in the present invention；
Fig. 5 A are the time-domain diagram of response signal in the present invention；
Fig. 5 B are the frequency domain figure of response signal in the present invention；
Fig. 6 A are the time-domain signal figure of the 6th rank resonance decay of composite sheet in the present invention；
Fig. 6 B are the time-domain signal envelope line chart of the 6th rank resonance decay of composite sheet in the present invention；
Fig. 7 is that test obtains the 6th rank nonlinear time-varying damping curve figure of composite sheet under different excitation amplitudes in the present invention；
Fig. 8 is the 3rd rank frequency response curve figure of composite sheet for testing acquisition in the present invention under different excitation amplitudes；
Fig. 9 A are the 3rd rank time domain waveform of composite sheet that acquisition is just being swept in the present invention；
Fig. 9 B are inverse the 3rd rank time domain waveform of composite sheet for sweeping acquisition in the present invention；
Fig. 9 C are the 3rd rank frequency response curve figure of composite sheet in the present invention；
Figure 10 is driving frequency test obtains when being the 1st rank 0.33 frequency multiplication of intrinsic frequency response signal spectrogram；
Figure 11 is the response signal frequency spectrum that test obtains when driving frequency is the 6th rank 0.5 frequency multiplication of intrinsic frequency in the present invention
Figure；
Figure 12 A are the time domain waveform that response signal is obtained in the present invention；
Figure 12 B are the spectrogram that response signal is obtained in the present invention；
Figure 12 C are the phasor trajectory diagram that response signal is obtained in the present invention；
Figure 13 A are the time domain waveform of response signal when driving frequency is 101.6Hz in the present invention；
Figure 13 B are the frequency-domain waveform figure of response signal when driving frequency is 101.6Hz in the present invention；
Figure 13 C are the phasor of response signal when driving frequency is 101.6Hz in the present invention.
Specific implementation mode
The present invention is further elaborated with reference to the accompanying drawings of the specification.
A kind of fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser of the present invention, to fiber composite
Thin plate from time domain to frequency domain then test again by frequency domain synthesis, includes the following steps：
1) intrinsic frequency of each rank of fiber composite thin plate is tested；
2) Mode Shape of each rank of fiber composite thin plate is obtained according to the intrinsic frequency of each rank of fiber composite thin plate；
3) the non-linear characterization test of harmonic distortion；
4) nonlinear time-varying damps characterization test；
5) hard/soft linear Stiffness characterization test；
6) the nonlinear dampling characterization test relied on amplitude；
7) Nonlinear Jump characterization test；
8) surpass/non-linear characterization test of subharmonic resonance：
9) the non-linear characterization test of internal resonance.
As shown in Figure 1, the fiber composite thin plate Non-Linear Vibration characterization test system based on vibration measurement with laser technology, with
TC500 carbon fibers/resin base composite sheet is test object, carries out Non-Linear Vibration characterization test.
Step 1) accurately tests the intrinsic frequency for being tested composite sheet：
101) provisional value of each rank intrinsic frequency of composite sheet is measured using hammering method, and utilizes developed vibration-testing
System, carries out it in a manner of basic excitation tentering swept frequency excitation, and scanning band is typically chosen in tested rank and is tested rank
The 75%~125% of intrinsic frequency.
In the present embodiment, tested composite sheet is mounted on by installs fixture 4 on shaking platform 5, then, utilizes hammering
Method measures each rank intrinsic frequency provisional value of composite sheet；
102) sweep check is carried out to composite sheet using laser vibration measurer, and obtains the three-dimensional waterfall under swept frequency excitation
Figure.
Based on system is tested shown in Fig. 1, tentering swept frequency excitation is carried out to it in a manner of basic excitation, scanning band is general
It is selected as the 75%~125% of tested rank intrinsic frequency；
103) by recognizing peak value of response and its frequency values on three-dimensional Waterfall plot, carry out the accurate each rank for obtaining composite sheet
Intrinsic frequency.
Sweep check is carried out to composite sheet using laser vibration measurer, and obtains the three-dimensional Waterfall plot under swept frequency excitation；Again
By recognizing peak value of response and its frequency values on three-dimensional Waterfall plot, carry out the accurate each rank intrinsic frequency for obtaining composite sheet.
Step 2) effective acquisition Mode Shape：
201) after the intrinsic frequency that test obtains composite sheet, fixed frequency is carried out to it and is encouraged, keeps it solid in tested rank
Have and reaches resonance state at frequency；
202) in selected response point position, a lightweight acceleration transducer is arranged, and be set as reference point；
203) establish the laser scanning wire frame model of composite sheet, and by laser scanning system with it is certain (2.5~
Sweep speed 3.5mm/s) is progressively scanned, while recording the composite sheet that acceleration transducer and laser vibration measurer obtain
The scanning signal of each row and the signal of reference point；
Fig. 2 gives the operation interface of the base Labview softwares used when test.
204) the transport function for obtaining scanning signal and reference point signal, extracts its amplitude and phase information, and to this
A little data carry out pretreatment and reduction processing, then data are loaded on the wire-frame model of fiber-reinforced composite thin plate by treated
To realize that the drafting of tested rank Mode Shape, this step of repetition obtain each rank Mode Shape successively.
Table 1 gives 6 rank intrinsic frequencies before the tested composite sheet that test obtains, and Fig. 3 A~Fig. 3 F give tested successively
6 rank Mode Shape before composite sheet.
6 rank intrinsic frequencies and Mode Shape before the fiber-reinforced composite thin plate that the test of table 1 obtains
The non-linear characterization test of step 3) harmonic distortion：
301) non-linear basic skills is obtained from time domain angle, respectively under tested rank resonant frequency and anti-resonance frequency
(such as being selected except 20-30Hz) encourages composite sheet, and tests the vibratory response under its above-mentioned driving frequency.
302) from the spectrogram of vibration response signal response signal frequency content, the time domain waveform of binding signal,
Differentiate that composite structural system whether there is harmonic distortion phenomenon.
After the eigenfrequncies and vibration models for obtaining composite sheet, first under different driving frequencies, the type is investigated
Composite sheet whether there is harmonic distortion phenomenon；
When being tested into every trade, driving frequency 307.2Hz, when excitation amplitude is 3g, from the spectrogram of response signal
The frequency content of response signal, the time domain waveform of binding signal differentiate that composite structural system whether there is harmonic distortion phenomenon；Such as
Shown in Fig. 4 A~4B, the time domain waveform and spectrogram of pumping signal is set forth；Response signal is set forth in Fig. 5 A~5B
Time domain waveform and spectrogram.
Step 4) nonlinear time-varying damps characterization test：
401) on the basis of step 1 accurately obtains composite sheet and is tested rank intrinsic frequency, one 1~4g's of selection swashs
Amplitude is encouraged, and it is excited to reach tested rank resonance state；
The present embodiment chooses the excitation amplitude of 1g, 2g, 4g respectively, and it is excited to reach tested rank resonance state；
402) after stablizing a period of time (20s~30s), stop encouraging, under the final entry excitation amplitude, composite sheet
The vibratory response of time domain decaying under tested rank resonance state；
403) Hilbert conversion process is carried out to the time domain deamplification, obtains the envelope of deamplification, it is non-obtains its
Linear time-varying damping parameter；
404) repeat step 401)~403) obtain successively different orders nonlinear time-varying damping.
Fig. 6 A, 6B give under 1g excitation amplitudes, test the time-domain signal and process of the 6th rank resonance decay of acquisition
The envelope that Hilbert conversion process obtains；Fig. 7 then gives composite sheet the 6th under the different excitation amplitudes of 1g, 2g, 4g tri-
The nonlinear time-varying damping results of rank.
Hard/soft linear Stiffness characterization test of step 5)：
501) be tested rank intrinsic frequency 75%~125% is selected as scanning band, respectively in different excitation width
Under degree, frequency sweep is carried out to composite sheet, obtains the frequency response curve under different excitation amplitudes；
Select the 75%~125% of tested rank intrinsic frequency as scanning band, respectively 0.5g, 1g, 2g, 3g,
Under excitation amplitudes multiple and different 3.5g etc., to composite sheet, (being set as 0.5Hz/s) carries out frequency sweep under same sweep speed,
Obtain the frequency response curve under different excitation amplitudes；
502) the corresponding intrinsic frequency of different excitation amplitudes is picked out, if with the increase of excitation amplitude, composite sheet
Intrinsic frequency present reduce trend, then its appear as soft linear Stiffness feature；If with the increase of excitation amplitude,
Increased trend is presented in intrinsic frequency, then shows rigid linear Stiffness feature.
Fig. 8 gives the 3rd rank frequency response curve that acquisition is tested within the scope of 300~320Hz, and table 2 gives identification
The corresponding intrinsic frequency of different excitation amplitudes and frequency domain response value of acquisition.
The 3rd rank intrinsic frequency and its frequency domain response result of acquisition are tested under the different excitation amplitudes of table 2
The nonlinear dampling characterization test that step 6) is relied on amplitude：
601) similar with step 1, be tested rank intrinsic frequency 75%~125% is selected as scanning band, (2.5
~3.5mm/s) sweep speed under (this test be 2.5mm/s), obtain composite sheet respectively in 0.5g, 1g, 2g, 3g, 3.5g
Etc. the frequency response curve under different excitation amplitudes；
602) according to classical half-power bandwidth method, the corresponding damping of the different excitation amplitudes of identification acquisition, and its resistance is studied
The non-linear relation of Buddhist nun and dynamic excitation amplitude.
Fig. 7 has been presented for the 3rd rank frequency response curve under different excitation amplitudes, using half-power bandwidth method to a plurality of song
Line is identified, and the damping ratio obtained under different excitation amplitudes is as shown in table 3；
The 3rd rank intrinsic frequency and its damping ratio result of acquisition are tested under the different excitation amplitudes of table 3
Step 7) Nonlinear Jump characterization test：
701) it selects the 75%~125% of tested rank intrinsic frequency as scanning band, and in same excitation amplitude
Under multiple sweep rates, composite sheet is just being swept and inverse is sweeping excitation；
702) laser vibration measurer is utilized to obtain time-domain response curve and frequency response curve under swept frequency excitation；
703) by recognizing the steep and verticality of curve near frequency response curve peak value, to judge THIN COMPOSITE
Plate whether there is Nonlinear Jump phenomenon.
Table 4 gives the 2nd, the 3 rank intrinsic frequencies and response that acquisition is tested under two kinds of sweep methods；Fig. 9 A~9C are provided
It just sweeps and inverse the 3rd rank time domain original waveform obtained when sweeping and its frequency response curve；
Table 4 is just being swept and inverse composite sheet intrinsic frequency and its vibratory response for sweeping acquisition
Step 8) surpasses/non-linear characterization test of subharmonic resonance：
801) after the intrinsic frequency that test obtains composite sheet, be tested rank intrinsic frequency 1/n times or n times, (n is
Integer) excited frequency fixed frequency carried out to composite sheet encourage, reach forced vibration state；
Subharmonic resonance driving frequency as shown in table 5 is formulated, and using 2,3,4,5 frequencys multiplication listed in table as sharp
Vibration frequency carries out the non-linear characterization test of subharmonic resonance, reaches forced vibration state；
802) its each frequency content from the spectrogram of response signal, and the time domain waveform of binding signal differentiate
Whether while there are excited frequency, and frequency values larger there is also amplitude are equal to showing for intrinsic frequency to composite structural system
As；
Figure 10 gives that excitation amplitude is 1g and when driving frequency is 16.27Hz (0.33 times of the 1st rank intrinsic frequency) surveys
The frequency spectrum of the response signal obtained is tried, Figure 11 then gives that excitation amplitude is 5g and driving frequency is that (the 6th rank is intrinsic by 427.0Hz
0.5 times of frequency) when test obtain frequency spectrum.
The driving frequency (Hz) that 5 subharmonic resonance of table uses
Due to the 1st rank intrinsic frequency (ω of composite sheet1=48.8Hz) and the 2nd rank intrinsic frequency (ω2=101.6Hz)
Between there are integer ratio relationships, i.e. ω1:ω2≈1:2.Therefore, it is necessary to carry out 1 to it:The non-linear characterization test of 2 internal resonances.
Therefore the invention also includes steps 9), on the basis of accurately obtaining each rank intrinsic frequency of composite sheet by step 1), judge each
Rank intrinsic frequency whether there is into integer ratio (such as 1:2,1:3 etc.) frequency relation, if it is present carrying out internal resonance to it
Non-linear characterization test.The non-linear characterization test bag of internal resonance includes following steps：
901) theoretical calculation internal resonance intrinsic frequency and composite sheet processing and manufacturing：
First, it in interior resonance inherent frequency theoretical calculation link, needs to realize intrinsic frequency by integral multiple compatibility method
It calculates, and determines the macro-size relationship of composite sheet a, b, h；In the link of processing and manufacturing composite sheet, tested in conjunction with itself
Condition, producer's working condition, and under the premise of ensureing reliable technological requirement, it is final to determine each of fiber-reinforced composite thin plate
Layer is laid with parameter, and prepares the macroscopical plate for meeting internal resonance test request；
902) judgement of internal resonance integral multiple relation and coordination：
Judge whether internal resonance the intrinsic frequency f1 and f2 of the composite sheet of actual test meet integral multiple relation, if actual measurement
F1 and f2 be unsatisfactory for integral multiple relation, then carry out the fine tuning of structural parameters, composite sheet be clamped again using fixture, by not
The disconnected method coordinated, finally makes its intrinsic frequency that integral multiple relation be presented；
903) covibration characterization test：
On the basis of ensureing to complete above-mentioned link, characterization test is carried out to the non-linear internal resonance problem of composite sheet and is ground
Study carefully, summarizes experimental phenomena, and conclude its changing rule.
The present embodiment selects high-order intrinsic frequency as excited frequency in step 901), and is surveyed using Non-Linear Vibration
Test system is encouraged to carrying out fixed frequency to composite sheet, obtains the frequency response curve of fixed frequency excitation, specially：Adjust driving frequency
Reach the corresponding 48.8Hz of the 1st rank intrinsic frequency, and time domain waveform, frequency spectrum and the phasor of response signal are obtained in measuring point location A
Track, as shown in Figure 12 A~12C；
Step 902) its frequency content from the spectrogram of response signal, if when external excitation frequency is the intrinsic frequency of high-order
When rate, the intrinsic frequency of low order can also be ejected, then illustrate that there are internal resonance non-linear phenomenas in the type structure.Tool
Body is that adjustment driving frequency reaches the corresponding 101.6Hz of the 2nd rank intrinsic frequency, and repeat to obtain response signal time domain waveform,
Frequency spectrum and phasor track, as shown in Figure 13 A~13C.
Claims (10)
1. a kind of fiber composite thin plate Non-Linear Vibration characterization test method based on vibration measurement with laser, it is characterised in that：It needs first
Accurately to obtain the crucial modal parameter of fiber composite thin plate, then according to from time domain to frequency domain again to the test thinking of time-frequency domain
Non-Linear Vibration characterization test is carried out, is included the following steps：
1) intrinsic frequency of each rank of fiber composite thin plate is tested；
2) Mode Shape of each rank of fiber composite thin plate is obtained according to the intrinsic frequency of each rank of fiber composite thin plate；
3) the non-linear characterization test of harmonic distortion；
4) nonlinear time-varying damps characterization test；
5) hard/soft linear Stiffness characterization test；
6) the nonlinear dampling characterization test relied on amplitude；
7) Nonlinear Jump characterization test；
8) surpass/non-linear characterization test of subharmonic resonance：
9) the non-linear characterization test of internal resonance.
2. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that step 9) is on the basis of accurately obtaining each rank intrinsic frequency of composite sheet by step 1), to judge the intrinsic frequency of each rank
Rate whether there is the frequency relation at integer ratio, if it is present carrying out the non-linear characterization test of internal resonance, internal resonance to it
Non-linear characterization test bag includes following steps：
901) theoretical calculation internal resonance intrinsic frequency and composite sheet processing and manufacturing：
First, in interior resonance inherent frequency theoretical calculation link, the calculating that intrinsic frequency is realized by integral multiple compatibility method is needed,
And determine the macro-size relationship of composite sheet a, b, h；Processing and manufacturing composite sheet link, in conjunction with experiment condition itself,
Producer's working condition, and under the premise of ensureing reliable technological requirement, the final each layer paving for determining fiber-reinforced composite thin plate
Setting parameter, and prepare the macroscopical plate for meeting internal resonance test request；
902) judgement of internal resonance integral multiple relation and coordination：
Judge whether internal resonance the intrinsic frequency f1 and f2 of the composite sheet of actual test meet integral multiple relation, if the f1 of actual measurement
It is unsatisfactory for integral multiple relation with f2, then carries out the fine tuning of structural parameters, composite sheet is clamped again using fixture, by constantly assisting
The method of tune finally makes its intrinsic frequency that integral multiple relation be presented；
903) covibration characterization test：
On the basis of ensureing to complete above-mentioned link, characterization test research is carried out to the non-linear internal resonance problem of composite sheet,
Experimental phenomena is summarized, and concludes its changing rule.
3. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 1), the intrinsic frequency of test each rank of fiber composite thin plate includes：
101) provisional value of each rank intrinsic frequency of composite sheet is measured using hammering method, and by vibration test system, with basis
The mode of excitation carries out it tentering swept frequency excitation, and scanning band is selected as the 75%~125% of tested rank intrinsic frequency；
102) sweep check is carried out to composite sheet using laser vibration measurer, and obtains the three-dimensional Waterfall plot under swept frequency excitation；
103) by recognizing peak value of response and its frequency values on three-dimensional Waterfall plot, it is intrinsic to carry out the accurate each rank for obtaining composite sheet
Frequency.
4. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 2), the Mode Shape for obtaining each rank of fiber composite thin plate includes：
201) after the intrinsic frequency that test obtains composite sheet, fixed frequency is carried out to it using the vibration test system developed and is swashed
It encourages, it is made to reach resonance state at tested rank intrinsic frequency；
202) in selected response point position, a lightweight acceleration transducer is arranged, and be set as reference point；
203) the laser scanning wire frame model of composite sheet is established, and is progressively scanned by laser scanning system, is remembered simultaneously
Record the signal of the scanning signal and reference point of each row of composite sheet that acceleration transducer and laser vibration measurer obtain；
204) the transport function for obtaining scanning signal and reference point signal extracts its amplitude and phase information, and to these numbers
According to carrying out pretreatment and reduction processing, then by treated data are loaded on the wire-frame model of fiber-reinforced composite thin plate reality
It is now tested the drafting of rank Mode Shape, this step is repeated, obtains each rank Mode Shape successively.
5. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 3), the non-linear characterization test of harmonic distortion is：
301) non-linear basic skills is obtained from time domain angle, rank is tested according to the fiber composite thin plate that test obtains in step 1)
Intrinsic frequency, encourage composite sheet under tested rank resonant frequency and anti-resonance frequency respectively, and test its above-mentioned excitation
Vibratory response under frequency；
302) from the spectrogram of vibration response signal response signal frequency content, the time domain waveform of binding signal, differentiate
Composite structural system whether there is harmonic distortion phenomenon.
6. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 4), nonlinear time-varying damping characterization test includes：
401) on the basis of step 1 accurately obtains composite sheet and is tested rank intrinsic frequency, excitation amplitude is chosen, and excite it
Reach tested rank resonance state；
402) after stablizing, stop encouraging, under the final entry excitation amplitude, composite sheet is under tested rank resonance state
The vibratory response of time domain decaying；
403) Hilbert conversion process is carried out to the time domain deamplification, obtains the envelope of deamplification, it is non-linear obtains its
Time-varying damping parameter；
404) step 401)~403 are repeated), the nonlinear time-varying damping of different orders is obtained successively.
7. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 5), hard/soft linear Stiffness characterization test includes：
501) composite sheet accurately obtained in step 1) is tested rank intrinsic frequency, selects to be tested the 75% of rank intrinsic frequency
~125% is used as scanning band, respectively under different excitation amplitudes, carries out frequency sweep to composite sheet, obtains different excitation width
Frequency response curve under degree；
502) the corresponding intrinsic frequency of different excitation amplitudes is picked out, if with the increase of excitation amplitude, composite sheet is consolidated
Have the tendency that frequency is presented to reduce, then it appears as soft linear Stiffness feature；If with the increase of excitation amplitude, inherently
Increased trend is presented in frequency, then shows rigid linear Stiffness feature.
8. the fiber composite thin plate Non-Linear Vibration characterization test method according to claim 1 based on vibration measurement with laser,
It is characterized in that in step 6), the nonlinear dampling characterization test relied on amplitude includes：
601) composite sheet accurately obtained in step 1) is tested rank intrinsic frequency, selects to be tested the 75% of rank intrinsic frequency
~125% is used as scanning band, and obtains frequency response curve of the composite sheet under different excitation amplitudes respectively；
602) according to classical half-power bandwidth method, identification obtains the corresponding damping of different excitation amplitudes, and study its damping with
The non-linear relation of dynamic excitation amplitude.
9. the fiber composite thin plate Non-Linear Vibration characterization test side according to claim 1 based on vibration measurement with laser technology
Method, which is characterized in that in the step 7), Nonlinear Jump characterization test includes：
701) select the 75%~125% of tested rank intrinsic frequency as scanning band, and same excitation amplitude with it is more
Under a sweep rate, composite sheet is just being swept and inverse is sweeping excitation；
702) laser vibration measurer is utilized to obtain time-domain response curve and frequency response curve under swept frequency excitation；
703) by recognizing the steep and verticality of curve near frequency response curve peak value, to judge that composite sheet is
It is no that there are Nonlinear Jump phenomenons.
10. the fiber composite thin plate Non-Linear Vibration characterization test side according to claim 1 based on vibration measurement with laser technology
Method, which is characterized in that in the step 8), super/non-linear characterization test bag of subharmonic resonance includes：
801) after the intrinsic frequency that test obtains composite sheet, to be tested 1/n times or n times of the exciting frequency of rank intrinsic frequency
Rate carries out fixed frequency to composite sheet and encourages, and reaches forced vibration state；
802) its each frequency content from the spectrogram of response signal, and the time domain waveform of binding signal differentiate compound
Structural system whether while there are excited frequency, and frequency values larger there is also amplitude be equal to intrinsic frequency the phenomenon that, such as
Fruit exists, then showing composite sheet, there are superharmonic resonances or subharmonic resonance phenomenons.
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