含圆形衬砌的直角平面区域受出平面动力时地表位移幅值
The Surface Displacement Amplitudes of Rectangular Planar Region Including Circular Lining When Enduring Out-Plane Dynamic
DOI: 10.12677/IJM.2018.72009, PDF,    国家自然科学基金支持
作者: 南景富, 肖福坤, 刘 刚：黑龙江科技大学，黑龙江 哈尔滨；梁 滨：哈尔滨市机电类特种设备监督检验研究院，黑龙江 哈尔滨
关键词: 出平面动力；直角平面无限区域；圆形衬砌；动力响应；地表位移幅值；Out-of-Plane Dynamic； Rectangular Planar Infinite Region； Circular Lining； Dynamic Response； Surface Displacement Amplitudes
摘要: 本文研究了含圆形衬砌的直角平面无限区域对任意角度入射的出平面的动力响应问题。利用数学物理方法，将作用于直角平面无限区域内的出平面波场扩展成半无限空间区域内的出平面波场，借助于边界条件推导出问题模型的应力场和位移场，其解为一组无穷代数方程组。算例结果表明，模型的地表位移幅值受入射波频率、入射波角度、衬砌的位置和衬砌的厚度比等参数影响。
Abstract: The dynamic response of rectangular planar infinite region including circular lining while bearing out-of-plane dynamic incidenting in an arbitrary angle is investigated. The out-plane wave field acting on the rectangular planar infinite region is expanded into the out-plane wave field acting on semi-infinite space region, and the field of stress and displacement is deduced to solve the problems of the model, the solution of which is a set of infinite algebraic equations. The results of numerical example show that, the surface displacement amplitude of the model is affected by the incident wave frequency, Angle of the incident wave and parameters such as the location of the lining and the thickness of the lining.
文章引用：南景富, 梁滨, 肖福坤, 刘刚. 含圆形衬砌的直角平面区域受出平面动力时地表位移幅值[J]. 力学研究, 2018, 7(2): 75-83. https://doi.org/10.12677/IJM.2018.72009

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