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双参数地基上环板的非线性动力响应
引用本文:杨杰 彭建设. 双参数地基上环板的非线性动力响应[J]. 应用力学学报, 1998, 15(3): 19-24
作者姓名:杨杰 彭建设
作者单位:武汉化工学院(杨杰),四川师范学院(彭建设)
摘    要:
研究双参数地基上环板的大挠度动力响应问题,给出了求解该问题的一种有效方法,即在空间域上运用摄动微分求积法处理非线性边值问题,在时间域上则以三点递推格式的Newmark-β法计算其动力响应。文中同时讨论了不同形式地基对环板在均布阶跃载荷作用下动力响应的影响。

关 键 词:双参数地基;环板;非线性;动力响应;微分求积法;摄动法

Nonlinear Dynamic Response of Annular Plates on Two Parameter Foundation
Yang Jie Peng Jianshe. Nonlinear Dynamic Response of Annular Plates on Two Parameter Foundation[J]. Chinese Journal of Applied Mechanics, 1998, 15(3): 19-24
Authors:Yang Jie Peng Jianshe
Affiliation:Yang Jie Peng Jianshe (Wuhan Institute of Chemical Technology 430073) (Sichuan Teachers College 637002)
Abstract:
Large deflection dynamic response of annular plates resting on a two parameter elastic foundation is investigated in this paper by a new effective approach, which consists of a differential quadrature representation together with a single perturbation techneque in the spatial domain and a three point recursive relationhip for the dynamic response in the time domain. The effect of foundation configuration on the deflection response is also discussed and demonstrated in numerical examples.
Keywords:two parameter foundation   annular plate   nonlinear dynamic response   the differential quadrature method   the perturbation technique.
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