CN109782021A - A kind of selection method of fiber grating accelerometer inertance element quality - Google Patents
A kind of selection method of fiber grating accelerometer inertance element quality Download PDFInfo
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- CN109782021A CN109782021A CN201910021161.1A CN201910021161A CN109782021A CN 109782021 A CN109782021 A CN 109782021A CN 201910021161 A CN201910021161 A CN 201910021161A CN 109782021 A CN109782021 A CN 109782021A
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- fiber grating
- inertance element
- cross force
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- accelerometer
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Abstract
The present invention provides a kind of selection methods of fiber grating accelerometer inertance element quality, it is horizontally oriented fiber grating, the direction of motion of inertance element is gravity direction, the variable quantity of fiber grating strain caused by the weight of the inertance element selected for fiber grating initial strain amount.When making the fiber grating accelerometer 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.To different size of cross force, the amplification factor caused is different.When the pre-stretching amount of fiber grating has determined, by selecting the quality of inertance element, cross force is made to reach maximum amplification effect, the sensitivity highest that the unit mass of inertance element generates.
Description
Technical field
The present invention relates to fiber-optic grating sensors, are based especially on the fiber grating accelerometer 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 accelerometer based on cross force, the both ends of fiber grating are viscous
Patch is on the shell.Inertance element hangs over the centre of fiber grating.When pasting fiber grating, guarantee that it is not being drawn by inertance element
When power, the fiber grating itself is tightened；That is: fiber grating has certain pre-stretching amount.Not by inertance element pulling force
When, length of the fiber grating between two fixed point, as the distance between two fixed point.Fiber grating its two
Length between a 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 the variable quantity that it is strained.The definition of strain be length variable quantity with
The ratio of raw footage.When making this fiber grating accelerometer, before inertance element is to fiber grating applied force, generally require
Two endpoints of fixed fiber grating, and prestretching fiber grating.After fiber grating is fixed and prestretching finishes, when to optical fiber light
When the midpoint of the two fixing points of grid applies cross force, which can trigger a bigger axial force, to make the cross
It is exaggerated to power.And to different size of cross force, the amplification factor caused is different.For the optical fiber light based on cross force
Grid accelerometer, by reasonably selecting the quality of inertance element, can make when the pre-stretching amount of fiber grating has determined
Cross force reaches maximum amplification effect, 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 accelerometer inertance element quality, reasonably select inertia member
The quality of part can make cross force 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 accelerometer inertance element quality, is horizontally oriented fiber grating, is used to
Property element the direction of motion be gravity direction, the variable quantity of fiber grating strain caused by the weight of the inertance element selected is light
The initial strain amount of fine grating.
Derivation principle and advantage of the invention:
Granted patent ZL201310415482.2 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:
(2Δε+1)(ε+Δε)(2Δε+Δε2)-Δε(Δε+1)(ε+εΔε+3Δε+2Δε2)=0
(2Δε+1)(ε+Δε)(2+Δε)-(Δε+1)(ε+εΔε+3Δε+2Δε2)=0
εΔε2+ ε=0+(3 ε -1) Δ ε
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.At this point, the fiber grating accelerometer because by
The left and right of terrestrial gravitation generates one cross force；For giving prestrain (initial strain) ε, the multiple which is amplified
It is maximum.
When extraneous because of vibration, and there are another in the acceleration of gravity direction, and inertance element will move above and below
Dynamic, inertance element can also change to the cross force that fiber grating applies, and the amplification factor of cross force can also change.Compared with
The variation of small cross force can be amplified as the variation of biggish axial force.When vibration, the size of cross force can be former lateral
Change around power, amplification factor also changes near maximum amplification.Theoretical and experimental analysis shows when extraneous acceleration
When smaller, although (or the variable quantity of axial force returns to wavelength to the return wavelength variable quantity of the variable quantity of cross force and fiber grating
Variable quantity and the variable quantity of axial force are linear) corresponding relationship be it is nonlinear, but acceleration change amount and return
The variable quantity of wavelength is still linear relationship.(reference: 1.K.Li, et al. " Experimental verification of
the modified spring-mass theory of fiber Bragg grating accelerometers using
Transverse forces ", Applied Optics, vol.53, no.6, pp.1200-1211,2014. Fig. 7, Fig. 8, Fig. 9；
2.K.Li,et al.“Very sensitive fiber Bragg grating accelerometer using
transverse forces with an easy over-range protection and low cross axial
Sensitivity ", Applied Optics, vol.52, no.25, pp.6401-6410,2013. Fig. 7, Figure 16, Figure 17；
3.K.Li,et al.“Biaxial fiber Bragg grating accelerometer using axial and
transverse forces”,IEEE Photonics Technology Letters,vol.26,no.15,pp.1549-
1552,2014. Fig. 3.)
Detailed description of the invention
Fig. 1 is the structural schematic diagram of the fiber grating accelerometer based on cross force；Wherein, 1 is fixed point, and 2 be inertia
Element, 3 be fiber grating.
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.The quality of inertance element should be 0.577AE ε3/2=0.577*871.44*
0.00051773/2=0.00592 kilogram=5.92 grams.
Claims (1)
1. a kind of selection method of fiber grating accelerometer inertance element quality, it is characterised in that: fiber grating is made to be in water
Square to the direction of motion of, inertance element be gravity direction, fiber grating strain caused by the weight of the inertance element of selection
Variable quantity is the initial strain amount of fiber grating.
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Cited By (1)
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| CN110221096A (en) * | 2019-07-16 | 2019-09-10 | 蚌埠学院 | A kind of limit-type fiber grating accelerometer based on cross force of fin |
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