具有非线性阻尼的圬工粗短柱在水平地震力作用下横截面上的压应力重分布(英文)

Compressive Stress Redistribution of Stout Masonry Column Subjected to Horizontal Seismic Force with Nonlinear Damping

当合力作用在横截面核心之外时， 此截面的拉应力对于抗拉强度很低的圬工材料是不能承受的， 故应考虑压应力的重新分布。本文采用能反映激发和衰减的非线性Ｒａｙ／ｅｉｇｈ阻尼， 使控制方程无量纲化， 设振幅函数满足所有边界条件而简化控制方程为非齐次的Ｖａｍ ｄｅｒ Ｐｏｌ 方程， 得出其头两次渐近解，

When the resultant normal force exerts beyond core of any cross section of a masonry column,compressive stress redistribution must be considered due to very low tensile strength of masonry material which is called brittle material.In this study,nonlinear Rayleigh damping is adopted to depict exciting as well as decaying for the seismic response.By assuming the unknown function to fulfill all needed boundary conditions,the governing equation as nonlinear PDE is deduced to be van der pol equation,and its analytical solution is known,Numerical example is given to illustrate our approcah.