弹性压头与正交各向异性梁的接触问题

本文将文推广到弹性压头情形。采用近似格林函数方法,建立弹性压头与正交各向异性梁接触问题的积分方程。其中格林函数是由半平面的位移解,梁的挠度理论求得。文中对简支梁对称地受压头作用进行分析。假定未知的压力分布展开成Chebyshev多项式,比较各项的系数即可得到积分方程的闭合解,于是接触应力,压力与接触区长度等关系即可得出。

ANALYSIS OF INTEGRAL EQUATION FOR SMOOTH CONTACT BETWEEN ELASTIC INDENTER AND ORTHOTROPIC BEAM

This paper extends the method in 1] to the case of elastic indenter. An integral equation for the problem of smooth contact between an elastic indenter and an orthotropic beam is formulated using approxinsate Green's function method. Where the Green function is obtained by the sum of the half-plane solution for surface displacement and beam theory deflections. Analysis of symmetric indentation of simply supported orthotropic beam is made. A solution with closed form of the integral equation is obtained by expending the unknown pressure distributions into Chebyshev polynomials and comparing its coefficients. Thus, thec onta ct stresses, the contact force-contact length relation can be found.