CN104636556B - Into the finite size harden structure Calculation of Vibration Response method of any angle connection - Google Patents
Into the finite size harden structure Calculation of Vibration Response method of any angle connection Download PDFInfo
- Publication number
- CN104636556B CN104636556B CN201510069017.7A CN201510069017A CN104636556B CN 104636556 B CN104636556 B CN 104636556B CN 201510069017 A CN201510069017 A CN 201510069017A CN 104636556 B CN104636556 B CN 104636556B
- Authority
- CN
- China
- Prior art keywords
- excitation
- harden structure
- wave
- minor
- harden
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Landscapes
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
- Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)
Abstract
The invention discloses a kind of finite size harden structure Calculation of Vibration Response method into any angle connection, comprise the following steps：, as border, the finite size harden structure connected into any angle is divided into multiple minor structures at junction and power excitation；The structural parameters and excitation parameters of connecting board structure are obtained, the structural parameters include the physical dimension and material characteristic parameter of multiple minor structures；Excitation parameters include the amplitude and distributing position of exciting force；According to the structural parameters of acquisition and external excitation parameter, the Wave Solutions form of structure minor structure displacement and internal force under local dual coordinates system；According to Wave Solutions form and minor structure at power excitation, the condition of continuity of boundary and junction, the coupled vibrations governing equation of whole harden structure model is established；Solved according to coupled vibrations governing equation and obtain the finite size harden structure vibratory response connected into any angle and power flow.
Description
Technical field
The present invention relates to structural vibration response technical field, is specially shaken into the finite size harden structure of any angle connection
The quantitative calculation method of dynamic response.
Background technology
Into the finite size harden structure form of any angle connection, such as " L " template, T-shape plate and box-structure, in work
Had a wide range of applications in journey.When connecting board structure is by dynamic excitation, vibration wave caused by vibration is delivered to structure connection
Waveform conversion can occur for place, and then be transmitted to other minor structures, so as to cause total to be vibrated.Therefore research connects
Vibration characteristics in fishplate bar structure has important engineering significance to the vibration mechanism for verifying engineering structure.
Conventional researcher analyzes the Vibrational power flow analysis of L-type harden structure using Fluctuation Method.L-type plate is typically divided into three
Individual region, consider junction, the condition of continuity of boundary condition, establish the vibration control equation of total, and then obtain everybody
The vibratory response at place is put, thus computational accuracy is higher.But needed for the finite size harden structure of any angle connection, this method
More displacement solution unknowm coefficients are defined, simultaneously because the condition of continuity increases the increase that can cause exponent arithmetic, may
Cause the decline of computational accuracy.Therefore, there is an urgent need to a kind of amount of calculation is appropriate, precision is higher, and can be calculated as in broadband
The quantitative calculation method of the finite size harden structure vibratory response of any angle connection.
The content of the invention
To solve existing method with the analysis rise of frequency, the increase of model subsystem, amount of calculation is bigger, computational accuracy more
Low deficiency, the present invention propose a kind of calculating side for determining the finite size harden structure vibratory response into any angle connection
Method.
The technical solution adopted for the present invention to solve the technical problems is：
A kind of quantitative calculation method of the finite size harden structure vibratory response into any angle connection is provided, including it is following
Step：
Step 1：, as border, the finite size harden structure connected into any angle to be divided at junction and power excitation
Multiple minor structures；
Step 2：The structural parameters and excitation parameters of connecting board structure are obtained, the structural parameters include multiple minor structures
Physical dimension and material characteristic parameter；Excitation parameters include the amplitude and distributing position of exciting force；
Step 3：According to the structural parameters of acquisition and external excitation parameter, build minor structure displacement and internal force in local antithesis
Wave Solutions form under coordinate system；
Step 4：According to Wave Solutions form and minor structure at power excitation, the condition of continuity of boundary and junction, build
Found the coupled vibrations governing equation of whole harden structure model；
Step 5：The finite size harden structure vibration for obtaining and being connected into any angle is solved according to coupled vibrations governing equation
Response and power flow.
In method of the present invention, the Wave Solutions form includes minor structure the displacement in its local dual coordinates system
State vector expression formula and internal force status vector expression.
In method of the present invention, step 4 specifically includes following steps：
According to minor structure at power excitation, the condition of continuity of boundary and junction, the vibration wave of multiple junctions is established
Transitive relation；
The coupled vibrations governing equation of total model is established, the transfer matrix of all vibration wave transitive relations is integrated
Represent all in coupling harden structure respectively to overall transformation the relation d=Sa+s, wherein d and a for, obtaining coupling together harden structure
Leave ripple and reach the unknown wave amplitude vector of ripple, S is the exact transfer matrix method of coupling harden structure, and s is due to the presence of external excitation
Caused wave source vector.
Present invention also offers a kind of quantitative calculating system of the finite size harden structure vibratory response into any angle connection
System, it is characterised in that including：
Minor structure division module, for the limited chi, as border, will be connected at junction and power excitation into any angle
Very little harden structure is divided into multiple minor structures；
Parameter acquisition module, for obtaining the structural parameters and excitation parameters of connecting board structure, the structural parameters include
The physical dimension and material characteristic parameter of multiple minor structures；Excitation parameters include the amplitude and distributing position of exciting force；
Wave Solutions form builds module, for the structural parameters according to acquisition and external excitation parameter, builds the position of minor structure
Move and Wave Solutions form of the internal force under local dual coordinates system；
Coupled vibrations governing equation establishes module, for according to Wave Solutions form and minor structure at power excitation, border
Place and the condition of continuity of junction, establish the coupled vibrations governing equation of whole harden structure model；
Computing module, the finite size for solving acquisition into any angle connection according to coupled vibrations governing equation are hardened
Structure vibratory response and power flow.
In system of the present invention, the Wave Solutions form includes minor structure the displacement in its local dual coordinates system
State vector expression formula and internal force status vector expression.
In system of the present invention, the coupled vibrations governing equation is established module and specifically included：
Vibration wave transitive relation establishes module, for according to minor structure at power excitation, boundary and junction it is continuous
Condition, establish the vibration wave transitive relation of multiple junctions；
Establishing equation module, for the transfer matrix of all vibration wave transitive relations to be integrated together, obtain coupling plate
Overall transformation the relation d=Sa+s, wherein d and a of structure, which represent to couple respectively, all in harden structure to be left ripple and reaches ripple
Unknown wave amplitude vector, S are the exact transfer matrix method of coupling harden structure, and s is due to wave source vector caused by the presence of external excitation.
The beneficial effect comprise that：Fluction analysis method is combined by the present invention with local dual coordinates system, is carried
A kind of quantitative calculation method of the finite size harden structure vibratory response into any angle connection is supplied, computing is simple, is easy to real
It is existing.The foundation of kinetic model is carried out based on analytic method, and this semi-analytic method can effectively improve computational efficiency, not by
Frequency band is calculated to be limited.This method avoids the numerical error that exponent arithmetic is brought by establishing local dual coordinates system.
Brief description of the drawings
Below in conjunction with drawings and Examples, the invention will be further described, in accompanying drawing：
Fig. 1:The program flow diagram of the inventive method.
Fig. 2:It is the structural representation of the finite size harden structure connected in one embodiment of the invention into any angle.
Fig. 3:It is into displacement comparison diagram in the finite size harden structure of any angle connection.
Fig. 4:It is into the finite size harden structure of any angle connection and shears comparison diagram.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples
The present invention is further elaborated.It should be appreciated that specific embodiment described herein is only to explain the present invention, not
For limiting the present invention.
The quantitative calculation method of the finite size harden structure vibratory response into any angle connection of the embodiment of the present invention, such as
Shown in Fig. 1, comprise the following steps：
Step S1, as border, the finite size harden structure connected into any angle to be divided at junction and power excitation
For a series of minor structures IJ, JK ...；
Step S2, the structural parameters and external excitation parameter of connecting board structure are obtained, the structural parameters include the son knot of plate
The physical dimension of structure, material characteristic parameter etc.；Excitation parameters include the amplitude f of exciting force0And distributing position (x0,y0), it can represent
For F=f0δ(x-x0)δ(y-y0)eiωt, i expression imaginary numbers, ω is circular frequency, and t is time variable.
Step S3, inputted according to initial data, build minor structure displacement and internal force under local dual coordinates system
Wave Solutions form, by taking plate IJ as an example, the displacement state vector expression in its IJ local coordinate system isInternal force status vector expression isIts
InTo save the motion vector under mode corresponding to n-th,
For phasing matrix, Yn=diag { sinkyy coskyy sinkyy sinkyy coskyY } for mode in the y-direction, for angular moment
Battle array, Anδ,DnδFor the displacement coefficient matrix for corresponding to Da Bo He leaving ripple, anAnd dnRespectively reach ripple and leave ripple wave amplitude system
Number.
Step S4, according to structure at power excitation, the condition of continuity of boundary and junction, a series of junction I are established,
J, K ... vibration wave transitive relation, dSIGN=SSIGNaSIGN, SIGN=I, J, K ....
Step S5, the coupled vibrations governing equation of total model is established, all transfer matrixes are carried out to be incorporated into one
Rise, can must finally couple overall transformation relation d=Sa+s, the d={ d of harden structureI dH dJ dK}T, a={ aI aH aJ aK}TPoint
The unknown wave amplitude for leaving ripple and reaching ripple vector all in harden structure Biao Shi not coupled.S=diag ＜ SI SH SJ SK＞ is coupling
The exact transfer matrix method of board structure.S is due to wave source vector caused by the presence of external excitation.
Step S6, it can determine that based on deformation compatibility condition and ripple reached on plate and leaves the phase relation between ripple, with plate IH
Exemplified by,For local phase matrix.Definition substitution matrixThen two seat in plate IH
Arrival ripple and the phase relation left between ripple in mark system arePass through integration
Phasing matrix between all plates, the phase relation that can obtain the harden structure that is entirely of coupled connections are an=PLnUdn, PLnIt is hardened to couple
The overall phasing matrix of structure, U are the integral replacement matrix of coupling harden structure.
Step S7, simultaneous step S5 and step S6, the wave amplitude coefficient in each local dual coordinates system can be obtained, so it is available
Into the finite size harden structure vibratory response of any angle connection.
In the specific embodiment of the present invention, specific method step of the invention is as follows：
Step 1:The structural parameters and excitation parameters of connecting board structure are obtained, the structural parameters include length Lx1=
0.76m, Lx2=0.76m, width Ly=0.6m, thickness h=10mm.Each plate material parameter value is consistent:Young's modulus E=
2.0×1011Pa, Poisson's ratio μ=0.3, density p=7800kg/m3, damping loss factor is η=0.01.Exciting force is in overall seat
Position under mark system is (0.38m, 0.3m, 0m), and amplitude is unit power.It is as shown in Figure 2 that design parameter represents size.
Step 2:Inputted according to initial data, carry out dividing multiple minor structures in the junction of plate, every piece of minor structure can
So that with border letter I, J, K ..., which are numbered, to be indicated.Dual coordinates system is established in each minor structure, ensures that antithesis is sat
The y of system is marked to consistent, x is to relative, and z is to meeting the right-hand rule.On this basis, provide displacement state under corresponding coordinate system to
Amount and internal force status vector expression, i.e.,
WhereinFor the motion vector under the n-th section mode.For phasing matrix, Yn=diag { sinkyy coskyy sinkyy
sinkyy coskyY } for mode in the y-direction, an={ a1n a2n a3n a4n a5n}TAnd dn={ d1n d2n d3n d4n d5n}TFor
Reach ripple and leave the wave amplitude coefficient vector of ripple.Anδ,DnδFor the displacement coefficient matrix for corresponding to Da Bo He leaving ripple.Fn=
{Mxxn Mxyn Vxn Nxn Nxyn}TFor the interior force vector corresponding to the n-th section mode.Anf,DnfTo reach ripple and leaving the internal force of ripple
Coefficient matrix.
Step 3:Acted in view of an external excitation on H borders, as shown in figure 1, it is represented by Dirac function
Form D=f0δ(x-x0)δ(y-y0), by being orthogonalized integration in the y-direction, external excitation is represented by the form of the summation of seriesf0n=2f0sinkyy0/Ly。
Step 4:Consider that plate IH and plate HJ has the effect of external excitation, introduced in local coordinate system deformation compatibility condition and
Dynamic balance condition；In plate HJ and plate JK junction, it is necessary to meet that continuous modification compatibility conditions and dynamic balance condition can establish phase
Vibration wave is answered in the transformational relation of corresponding junction, i.e. dSIGN=SSIGNaSIGN, SIGN=I, J, K ...
Step 5:All collision matrixes are integrated together, can must finally couple the overall scattering transformational relation d of harden structure
=Sa+s, wherein, d={ dI dH dJ dK}T, a={ aI aH aJ aK}TRepresent all in harden structure respectively and leave ripple and arrival
The unknown wave amplitude vector of ripple.S=diag ＜ SI SH SJ SK＞ is the overall transformation matrix of coupling harden structure.S is due to external excitation
Presence caused by wave source vector.Motion vector and interior force vector in every piece of minor structure can be in this two sets of local coordinate systems
Represent.
Step 6:By taking plate IH as an example, it can determine that to reach ripple on plate and leave the phase between ripple based on deformation compatibility condition and close
System, i.e.,WhereinFor local phase matrix.Definition substitution matrixIn plate IH
Arrival ripple in Two coordinate system and the phase relation between ripple is left, i.e.,Pass through
The phasing matrix between all plates is integrated, the phase relation a for the harden structure that is entirely of coupled connections can be obtainedn=PLnUdn, wherein PLnFor coupling
The overall phasing matrix of board structure, U are the integral replacement matrix of coupling harden structure.
Step 6:By the overall governing equation d of harden structure that must can be of coupled connections after step 5 and step 6 simultaneousn=(I-
SPLnU)-1S, an=PLnUdn.Obtained d will be solvednAnd anThe displacement state vector sum internal force status vector being updated in step 2
In expression formula, you can the state vector for the harden structure that obtains being of coupled connections.
Fig. 3 and Fig. 4 is the comparison of this method acquired results and business finite element software ABAQUS results, driving frequency scope
For 0Hz~500Hz, frequency step 1Hz.Remove the mode of oscillation number N=40 for meeting analysis frequency.2 plate longitudinal direction opposite side are letter
Branch border, I and K borders are free boundary.As can be seen that both result of calculations either shear or displacement from Fig. 3 and Fig. 4
It coincide good, error is no more than 0.6%.The dynamic response of coupling harden structure is solved with MRRM methods and finite element result coincide very
Good, computational accuracy can be guaranteed.
It should be appreciated that for those of ordinary skills, can according to the above description be improved or converted,
And all these modifications and variations should all belong to the protection domain of appended claims of the present invention.
Claims (6)
- A kind of 1. quantitative calculation method of finite size harden structure vibratory response into any angle connection, it is characterised in that bag Include following steps：Step 1：, as border, the finite size harden structure connected into any angle to be divided into multiple at junction and power excitation Minor structure；Step 2：The structural parameters and excitation parameters of connecting board structure are obtained, the structural parameters include the geometry of multiple minor structures Size and material characteristic parameter；Excitation parameters include the amplitude and distributing position of exciting force；Step 3：According to the structural parameters of acquisition and external excitation parameter, build minor structure displacement and internal force in local dual coordinates Wave Solutions form under system；Step 4：According to Wave Solutions form and minor structure at power excitation, the condition of continuity of boundary and junction, establish whole The coupled vibrations governing equation of individual harden structure model；Step 5：The finite size harden structure vibratory response for obtaining and being connected into any angle is solved according to coupled vibrations governing equation And power flow.
- 2. according to the method for claim 1, it is characterised in that the Wave Solutions form includes minor structure in its local antithesis Displacement state vector expression and internal force status vector expression in coordinate system.
- 3. according to the method for claim 1, it is characterised in that step 4 specifically includes following steps：According to minor structure at power excitation, the condition of continuity of boundary and junction, the vibration wave transmission of multiple junctions is established Relation；The coupled vibrations governing equation of total model is established, the transfer matrix of all vibration wave transitive relations is incorporated into one Rise, overall transformation the relation d=Sa+s, wherein d and a for obtaining coupling harden structure represent to couple all in harden structure leave respectively Ripple and the unknown wave amplitude vector for reaching ripple, S are the exact transfer matrix method of coupling harden structure, and s is because the presence of external excitation produces Wave source vector.
- A kind of 4. quantitative computing system of finite size harden structure vibratory response into any angle connection, it is characterised in that bag Include：Minor structure division module, for the finite size plate, as border, will be connected at junction and power excitation into any angle Structure is divided into multiple minor structures；Parameter acquisition module, for obtaining the structural parameters and excitation parameters of connecting board structure, the structural parameters include multiple The physical dimension and material characteristic parameter of minor structure；Excitation parameters include the amplitude and distributing position of exciting force；Wave Solutions form builds module, for the structural parameters according to acquisition and external excitation parameter, build minor structure displacement and Wave Solutions form of the internal force under local dual coordinates system；Coupled vibrations governing equation establishes module, for according to Wave Solutions form and minor structure at power excitation, boundary and The condition of continuity of junction, establish the coupled vibrations governing equation of whole harden structure model；Computing module, shaken for solving the finite size harden structure obtained into any angle connection according to coupled vibrations governing equation Dynamic response and power flow.
- 5. system according to claim 4, it is characterised in that the Wave Solutions form includes minor structure in its local antithesis Displacement state vector expression and internal force status vector expression in coordinate system.
- 6. system according to claim 4, it is characterised in that the coupled vibrations governing equation is established module and specifically wrapped Include：Vibration wave transitive relation establishes module, for according to minor structure at power excitation, the condition of continuity of boundary and junction, Establish the vibration wave transitive relation of multiple junctions；Establishing equation module, for the transfer matrix of all vibration wave transitive relations to be integrated together, obtain coupling harden structure Overall transformation relation d=Sa+s, wherein d and a represent to couple respectively and all in harden structure leave ripple and reach the unknown of ripple Wave amplitude vector, S are the exact transfer matrix method of coupling harden structure, and s is due to wave source vector caused by the presence of external excitation.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510069017.7A CN104636556B (en) | 2015-02-09 | 2015-02-09 | Into the finite size harden structure Calculation of Vibration Response method of any angle connection |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510069017.7A CN104636556B (en) | 2015-02-09 | 2015-02-09 | Into the finite size harden structure Calculation of Vibration Response method of any angle connection |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104636556A CN104636556A (en) | 2015-05-20 |
| CN104636556B true CN104636556B (en) | 2017-12-29 |
Family
ID=53215297
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510069017.7A Expired - Fee Related CN104636556B (en) | 2015-02-09 | 2015-02-09 | Into the finite size harden structure Calculation of Vibration Response method of any angle connection |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN104636556B (en) |
Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109598087A (en) * | 2018-12-20 | 2019-04-09 | 武汉海王科技有限公司 | A kind of calculation method and system of finite size structural vibration response |
| CN112836269A (en) * | 2020-11-16 | 2021-05-25 | 西南交通大学 | Method for splicing nuclear reactor fuel assembly anti-seismic analysis modeling substructure types |
| CN112699433A (en) * | 2020-11-16 | 2021-04-23 | 西南交通大学 | Method for classifying nuclear reactor fuel assembly seismic analysis mold building structure types |
| CN114969632A (en) * | 2022-05-10 | 2022-08-30 | 上海索辰信息科技股份有限公司 | Method for obtaining coupling loss factor of orthotropic plate |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101887474A (en) * | 2010-06-25 | 2010-11-17 | 哈尔滨工程大学 | Structural vibration analysis method based on finite element method and generalized Fourier series method |
| CN104112070A (en) * | 2014-07-11 | 2014-10-22 | 长沙理工大学 | Solving method used for dynamic response when elastic boundary shallow arch generates internal resonance |
-
2015
- 2015-02-09 CN CN201510069017.7A patent/CN104636556B/en not_active Expired - Fee Related
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101887474A (en) * | 2010-06-25 | 2010-11-17 | 哈尔滨工程大学 | Structural vibration analysis method based on finite element method and generalized Fourier series method |
| CN104112070A (en) * | 2014-07-11 | 2014-10-22 | 长沙理工大学 | Solving method used for dynamic response when elastic boundary shallow arch generates internal resonance |
Non-Patent Citations (4)
| Title |
|---|
| L形加筋板结构的导纳功率研究;李天匀 等;《振动工程学报》;19970331;第10卷(第1期);112-117 * |
| Power transmission in L-shaped plates including flexural and in-plane vibration;Nicole J.Kessissoglou;《The Journal of the Acoustical Society of America》;20040229;第35卷(第8期);838-847 * |
| 基于板梁组合理论的正交加筋板声振特征分析;金叶青 等;《振动工程学报》;20121031;第25卷(第5期);579-586 * |
| 舰船刚性阻振质量基座中频振动特征研究;王强勇 等;《中国舰船研究》;20110630;第6卷(第3期);64-67 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN104636556A (en) | 2015-05-20 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN104636556B (en) | Into the finite size harden structure Calculation of Vibration Response method of any angle connection | |
| CN107515982B (en) | Contact analysis method in three-dimensional mechanical finite element modal analysis | |
| CN102866637B (en) | Quadratic order-reduction based method for simulating unsteady aerodynamic force of aerofoil with operation surface | |
| D'Andrea | A linear matrix inequality approach to decentralized control of distributed parameter systems | |
| Song et al. | Investigations on the flutter properties of supersonic panels with different boundary conditions | |
| CN110162826B (en) | Analysis method for thermoelasticity dynamic response of thin-wall structure | |
| Petrolo et al. | Evaluation of mixed theories for laminated plates through the axiomatic/asymptotic method | |
| Vlase et al. | Elasto-dynamics of a solid with a general ‘rigid’motion using fem model. Part I. Theoretical approach | |
| Lian et al. | Coupling of membrane element with material point method for fluid–membrane interaction problems | |
| Ferretti et al. | Dynamic modeling of taut strings carrying a traveling mass | |
| CN107491585A (en) | Structural Topology Optimization Design method using random file response variance as target | |
| CN104504189B (en) | Large-scale structure method for designing under arbitrary excitation | |
| Sun et al. | Theoretical and experimental studies of an effective active vibration control method based on the deflection shape theory and optimal algorithm | |
| Zhang et al. | Linearized Euler solver for rapid frequency-domain aeroelastic analysis | |
| CN108491591A (en) | A kind of hot environment lower curve stiffened panel finite element method | |
| CN105701279B (en) | Non-classical structural dynamic response frequency domain method | |
| Zhu et al. | Identification of flutter derivatives of bridge decks using CFD-based discrete-time aerodynamic models | |
| CN105426343A (en) | Fourier series-based complex structure vibration analysis method | |
| Pagani et al. | Flutter analysis by refined 1D dynamic stiffness elements and doublet lattice method | |
| Hassan et al. | Finite elements for the one variable version of Mindlin-Reissner plate | |
| CN107748821A (en) | A kind of vibration analysis method of three-dimensional coupled structure | |
| Płaczek | Computer aided analysis of systems with MFC actuators | |
| CN107092730A (en) | Suitable for the three-dimensional infinite element Artificial Boundaries method for building up of Explicit Analysis | |
| CN109726454B (en) | Fluid-solid coupling modeling method and device for pipeline system | |
| CN108334688B (en) | MATLAB-based dynamic behavior calculation method for rotating functionally graded thick plate |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CB03 | Change of inventor or designer information |
Inventor after: Wang Xianzhong Inventor after: Chen Zhe Inventor after: Chen Di Inventor after: Jiang Chenban Inventor after: Xu Ruiyang Inventor after: Gu Xin Inventor after: Wu Weiguo Inventor before: Wang Xianzhong Inventor before: Wu Weiguo Inventor before: Zhou Yong Inventor before: Ma Li Inventor before: Xu Ruiyang Inventor before: Qi Qiongfang |
|
| CB03 | Change of inventor or designer information | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20171229 Termination date: 20210209 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |