Integral methods for mechanical sensor design and performance testing in plates with transverse shear deformation and transverse normal strain

R. Mitric, P. Schiavone
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Abstract

A modified boundary integral equation method is used to solve a specific type of mixed boundary value problem in an enhanced theory of bending of elastic plates in which the effects of transverse shear deformation and transverse normal strain are taken into account. The boundary conditions consist of a combination of transverse displacement and bending and twisting moments. The discussion covers both interior and exterior problems, for which existence and uniqueness results are derived. This type of problem has direct application in the calibration and performance testing of mechanical sensors for large industrial structures.
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具有横向剪切变形和横向法向应变的板的机械传感器设计和性能测试的整体方法
在考虑横向剪切变形和横向法向应变影响的改进弹性板弯曲理论中,采用改进的边界积分方程方法求解一类特殊的混合边值问题。边界条件由横向位移和弯矩、扭矩的组合构成。讨论了内部问题和外部问题,得到了存在性和唯一性结果。这类问题在大型工业结构机械传感器的标定和性能测试中有直接的应用。
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