摘要
本文研究双参数弹性地基上锥壳的自由振动问题，并计及地基惯性作用。通过引入一个位移函数，位移型基本微分方程组化成一个八阶可解偏微分方程，并用幂级数方法得到了该控制方程的解析解。根据所得的解，结合工程实例，文中给出了固定边和简支边锥壳的振动特征方程和数值结果。在地基深度发生变化时，详尽地比较了双参数模式与文克勒模式的差异，从而得出了文克勒弹性地基模式的适用范围。
This paper is concerned with the free vibration analysis of conical shell on the two-parameter elastic foundation. By introducing displacement function, , the basic partial differential equations in terms of displacements are tranformed into an eight-order partial differential equation. The analytical solution of the governing equation is obtained using a power series method. As an application of the theory, the characteristic equation is derived for the conical shell with the one edge clamped and the other edge simply supported. The numerical results for the winkler model and the two-parameter model are compared in details with the change of the depth of foundation. The applicability of winkler model is addressed.
出处
《工程力学》
EI
CSCD
北大核心
2001年第1期23-35,22,共14页
Engineering Mechanics
基金
国家自然科学基金!(1880353)
关键词
双参数弹性地基
锥壳结构
自由振动
固有频率
two-parameter elastic foundction
conical shell
free vibration
natrual frequency
