耗能减震结构的摄动分析方法
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摘要
针对用振型分解法对耗能减震结构进行反应分析中存在的计算精度差且耗时的问题,提出了求解振动方程特征值问题的改进一阶摄动的高精度模态展开法,并推导了强行解耦的振型分解的一阶摄动修正公式。最后通过算例证明,提出的摄动分析法是有效的。
The conventional methods of numerical modal analysis for vibrating structure, in the case of energy dissipation system, are usually of low precision and time concsuming. A modal expansion method of high precision based on improved first order pertubation analysis is put forward to solve the eigenprolem of vibrating stracture. The proper expressions of the first order pertubation analysis is put forw ard to solve the eigenproblem of vibrating stracture. The proper expressions of the first order pertubation are also deduced to resolve the force coupled vibration. Examples show the real effectiveness of the method presented.
The conventional methods of numerical modal analysis for vibrating structure, in the case of energy dissipation system, are usually of low precision and time concsuming. A modal expansion method of high precision based on improved first order pertubation analysis is put forward to solve the eigenprolem of vibrating stracture. The proper expressions of the first order pertubation analysis is put forw ard to solve the eigenproblem of vibrating stracture. The proper expressions of the first order pertubation are also deduced to resolve the force coupled vibration. Examples show the real effectiveness of the method presented.
引文
1 阎兴华.可控消能减震原理及结构分析.地震工程与工程振动[J],1997,17(3):66—71
2 徐建功.基于预测控制的结构振动半主动控制研究[J].世界地震工程,2003,19(2):126—131
3 唐家祥.隔震与消能减震结构的设计规定[J].工程减震,1999,3:13—18
4 欧进萍,吴 斌,龙 旭.结构被动耗能减振效果的参数影响[J].地震工程与工程振动,1998,18(1):60—70
5 陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999
6 郭永刚,曲乃泗,董毓新.在非比例阻尼情况下结构动力响应的摄动分析方法[J].地震工程与工程振动,1995,15(4):48—54
2 徐建功.基于预测控制的结构振动半主动控制研究[J].世界地震工程,2003,19(2):126—131
3 唐家祥.隔震与消能减震结构的设计规定[J].工程减震,1999,3:13—18
4 欧进萍,吴 斌,龙 旭.结构被动耗能减振效果的参数影响[J].地震工程与工程振动,1998,18(1):60—70
5 陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999
6 郭永刚,曲乃泗,董毓新.在非比例阻尼情况下结构动力响应的摄动分析方法[J].地震工程与工程振动,1995,15(4):48—54
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