CN109764857A - A kind of selection method of fiber grating inclination instrument inertance element quality - Google Patents
A kind of selection method of fiber grating inclination instrument inertance element quality Download PDFInfo
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- CN109764857A CN109764857A CN201910020640.1A CN201910020640A CN109764857A CN 109764857 A CN109764857 A CN 109764857A CN 201910020640 A CN201910020640 A CN 201910020640A CN 109764857 A CN109764857 A CN 109764857A
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- fiber grating
- inertance element
- cross force
- force
- inclination instrument
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Abstract
The present invention provides a kind of selection methods of fiber grating inclination instrument inertance element quality, it is horizontally oriented fiber grating, the gravity of the inertance element selected is parallel to the variable quantity of fiber grating strain caused by the component of supporting oblique surface as the initial strain amount of fiber grating.When making the fiber grating inclination instrument based on cross force, before inertance element is to fiber grating applied force, two endpoints of fixed fiber grating, and prestretching fiber grating.After fiber grating is fixed and prestretching completion, when applying cross force to the midpoint of fiber grating two fixing points, which causes bigger axial force, so that the cross force be made to be exaggerated.For the fiber grating inclination instrument based on cross force, when the prestretching amount of fiber grating has determined, by reasonably selecting the quality of inertance element, maximum amplification effect, the sensitivity highest that the unit mass of inertance element generates can be reached.
Description
Technical field
The present invention relates to fiber-optic grating sensors, are based especially on the fiber grating inclination instrument of cross force.
Background technique
Granted patent ZL 201310415482.2 propose " it is a kind of using cross force change rope strain method and its
Application in fiber grating accelerometer ".For the fiber grating inclination instrument based on cross force, the both ends of fiber grating are pasted
On the shell, inertance element is set on pedestal inclined-plane and hangs over the centre of fiber grating.When pasting fiber grating, guarantee it
When not by inertance element pulling force, the fiber grating itself is tightened;That is: fiber grating has certain pre-stretching amount.?
When not by inertance element pulling force, length of the fiber grating between two fixed point, as between two fixed point away from
From.Length of the fiber grating between two fixed point, the also commonly referred to as length of fiber grating.This part includes grating;
The length of grating is generally 1-10mm.The return wavelength change of fiber grating is directly proportional to its strain variation.The definition of strain is
The variable quantity of length and the ratio of raw footage.Make fiber grating inclination instrument when, inertance element to fiber grating applied force with
Before, generally require two endpoints of fixed fiber grating, and prestretching fiber grating.When fiber grating is fixed and prestretching finish with
Afterwards, when the midpoint of the two fixing points to fiber grating applies cross force, which can trigger a bigger axial direction
Power, so that the cross force be made to be exaggerated.And to different size of cross force, the amplification factor caused is different.For being based on
The fiber grating inclination instrument of cross force, when the pre-stretching amount of fiber grating has determined, by reasonably selecting inertance element
Quality, maximum amplification effect can be reached, the sensitivity highest that the unit mass of inertance element generates
Summary of the invention
The present invention provides a kind of selection methods of fiber grating inclination instrument inertance element quality, reasonably select inertance element
Quality, cross force can be made to reach maximum amplification effect, the sensitivity highest that the unit mass of inertance element generates.
The technical solution of the present invention is as follows:
A kind of selection method of fiber grating inclination instrument inertance element quality, is horizontally oriented fiber grating, selection
Inertance element gravity be parallel to fiber grating strain caused by the component of supporting oblique surface variable quantity be fiber grating just
Dependent variable.
Derivation principle and advantage of the invention:
Granted patent ZL 201310415482.2 disclose it is a kind of using cross force change rope strain method and its
Application in fiber grating accelerometer, the wherein formula in specification (14) are as follows:
In above formula, Ft,Fl,ΔFl, ε and Δ ε are respectively the cross force for being applied to fiber grating midpoint, and fiber grating is most
First axial force (pretension), by cross force FtThe newly-increased axial force of caused fiber grating, the initial strain (prestretching of fiber grating
The amount of stretching), the newly-increased strain of fiber grating.
In order to acquire maximum value of magnification, to above formula derivation, and make its zero.
Therefore, above formula molecule is 0:
With equation, above-mentioned quadratic equation with one unknown is sought, can be obtained:
Another solutionIt should give up.Because as 0 < ε < < 1
When, Δ ε > > 1 can be obtained;But Δ ε > > 1 is impossible for fiber grating.For fiber grating, Δ ε is most
Big value is generally less than 0.01;When it meets or exceeds 0.01, fiber grating is easy to be pulled off.
Result explanation above: whenWhen, derivative 0, amplification factor reaches maximum.Pass through
The amplification factor of the two sides is compared, can determine that the point is maximum of points.It for ease of use, can be to above formula
Letter.Because 0 < ε < < 1, utilizes Maclaurin series Above formula can be with abbreviation
Are as follows:
Maximum amplification factor is approximately:
Because of Δ Fl=AE Δ ε, A, E are respectively the cross-sectional area and Young's modulus of fiber grating;So the result
Substituting into above formula can obtain:
Corresponding cross force are as follows:
For the sensitivity highest for generating the unit mass of inertance element, the quality of inertance element should be selected:Kilogram;Wherein θ is in dipmeter
Support the inclined-plane of inertance element and the angle of bottom surface.At this point, the fiber grating inclination instrument is produced because of the left and right by terrestrial gravitation
Raw one cross force (component for being parallel to supporting oblique surface);For giving prestrain (initial strain) ε, what which was amplified
Multiple is maximum.
Detailed description of the invention
Fig. 1 is the front view of fiber grating inclination instrument.
Fig. 2 is the side view of fiber grating inclination instrument.
In upper figure, 1 is inclined-plane pedestal, and 2 be inertance element, and 3 be fiber grating, and 4 be fixed point.
Specific embodiment
The present invention is described in more detail combined with specific embodiments below:
If the fiber grating makes the return wavelength change of the fiber grating by prestretching when fiber grating is fixed
Amount is 0.6nm, according to paper (K.Li, et al. " Fiber Bragg grating strain modulation based on
nonlinear string transverse-force amplifier”,Optics Letters,vol.38,no.3,
Pp.311-313,2013.) experimental result, the dependent variable ε of the corresponding fiber grating of the wavelength variable quantity of 0.6nm are 0.6nm/
1159nm=0.0005177, AE are 871.44 newton.If the angle of inclined-plane and bottom surface is 45 °, the quality of inertance element be should be
Claims (1)
1. a kind of selection method of fiber grating inclination instrument inertance element quality, it is characterised in that: fiber grating is made to be in level
Direction, the gravity of the inertance element selected are parallel to the variable quantity of fiber grating strain caused by the component of supporting oblique surface as optical fiber
The initial strain amount of grating.
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Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN101603827A (en) * | 2009-03-26 | 2009-12-16 | 中国计量学院 | Novel fiber grating two-dimensional tilting angle sensor |
CN102707091A (en) * | 2012-06-12 | 2012-10-03 | 中国科学院半导体研究所 | Double-grating optical fiber vector accelerometer based on cantilever beam |
CN103558416A (en) * | 2012-08-24 | 2014-02-05 | 李阔 | A method to utilize string-strain-change induced by a transverse force and its application in fiber bragg grating accelerometers |
CN108917656A (en) * | 2018-07-24 | 2018-11-30 | 蚌埠学院 | A kind of Multi-Axis Fiber Bragg Gratings inclination sensor |
-
2019
- 2019-01-09 CN CN201910020640.1A patent/CN109764857A/en active Pending
Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN101603827A (en) * | 2009-03-26 | 2009-12-16 | 中国计量学院 | Novel fiber grating two-dimensional tilting angle sensor |
CN102707091A (en) * | 2012-06-12 | 2012-10-03 | 中国科学院半导体研究所 | Double-grating optical fiber vector accelerometer based on cantilever beam |
CN103558416A (en) * | 2012-08-24 | 2014-02-05 | 李阔 | A method to utilize string-strain-change induced by a transverse force and its application in fiber bragg grating accelerometers |
CN108917656A (en) * | 2018-07-24 | 2018-11-30 | 蚌埠学院 | A kind of Multi-Axis Fiber Bragg Gratings inclination sensor |
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Application publication date: 20190517 |