摘要
提出了结构动力响应灵敏度分析的一种新方法──Ｌａｐｌａｃｅ变换法，该法对结构的微分方程和结构响应量灵敏度的微分方程分别进行了Ｌａｐｌａｃｅ变换，使其消去时间变量而转化成代数方程组。求解该方程组，可得到拉氏空间中的灵敏度，再利用Ｌａｐｌａｃｅ数值逆变换，可得到在时间空间中的灵敏度。最后通过实例进行了有效计算。
Anew method using Laplace transform for sensitivity analysis of the structural dynamicresponse is proposed. Laplace transform has been carried out respectively on both the differ-ential equations of structure and those of the structural response sensitivity.With the timevariables eliminated,they are reduced to a set of simultaneous algebraic equations. By solv-ing the equations,the sensitivity in Laplase space is given and by inverse Laplace transfor-mation,the sensitivity in space-time is obtained. An example is given.
出处
《华中理工大学学报》
CSCD
北大核心
1995年第7期27-30,共4页
Journal of Huazhong University of Science and Technology
关键词
动力响应
灵敏度分析
结构
拉卜拉斯变换
dynamic response
sensitivity analysis
Laplace transformation
inverse Laplace transformation
