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结构对积分能量界限凸集载荷的响应分析
引用本文:荷彩英,张景绘.结构对积分能量界限凸集载荷的响应分析[J].强度与环境,1997(2):20-29,13.
作者姓名:荷彩英  张景绘
作者单位:西安交通大学工程力学系!710049
基金项目:国家自然科学基金,国家教委博士点基金
摘    要:用支撑超平面法分析了多自由度振动系统对积分能界界限凸集荷载荷的响应,导出了时间上限为有限和无限两种情况下可达集的边界方程。最后给出了一个实例,得到了不同积分上限时的响应可达集,并将凸集响应与谐波响应及非平衡随机响应作了对照。

关 键 词:结构动态响应  凸集载荷  积分能量界限

The Response Analysis of Structures to Integral Energy-Bound Convex loading
He Caiying,Zhang Jinghui.The Response Analysis of Structures to Integral Energy-Bound Convex loading[J].Structure & Environment Engineering,1997(2):20-29,13.
Authors:He Caiying  Zhang Jinghui
Abstract:A support hyperplane method is used to analysis the response to the excitation modeled byintegral energy-bound convex set. An analytical expression is obtained for the boundary equation of the fi-nite-time and infinite-time response reachable set- An example is given to obtain the response reachablesets at different instants, and the comparison for a convex response with a harmonic response and a non-stationary random response is also done.
Keywords:Structure dynamic response  Convex set  ~+Uncertainty  ~+Support hyperplane  ~+Reachable set
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