Measuring Method of Stress and Strain of Dedendum Root of Fixed Sun Gear of Planetary Gear System
A technology of fixed center and planetary gear train, applied in the direction of machine gear/transmission mechanism testing, measuring devices, instruments, etc., can solve the problems of many wiring harnesses, complicated installation, inconvenient on-site application, etc., to prevent electromagnetic interference, simple structure , the effect of easy installation
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[0029] The Basic Principle of Measuring Stress with Fiber Bragg Grating
[0030] A fiber grating is composed of a core and a cladding. When broadband light is incident into the fiber grating, the incident light wave with a central wavelength that satisfies certain conditions will be reflected. This wavelength is called the Bragg wavelength. The expression for the Bragg wavelength is:
[0031] lambda B =2n eff Λ (1)
[0032] where n eff is the effective refractive index of the fiber core, and Λ is the grating pitch of the fiber grating.
[0033] When the fiber is subjected to axial stress, the grating pitch and refractive index change due to stretching and elastic-optic effects, which in turn causes the fiber Bragg wavelength to shift. The wavelength shift is:
[0034] Δλ B =(1-P e )ελ B (2)
[0035] Equation (2) is the stress sensing model of FBG, where P e is the effective elasto-optic coefficient, which can be obtained from the fiber parameters, and ε is the axial...
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