摘要
通过非保守系统的状态空间形式,研究其状态向量的规范正交性,提出了一种新的规范化技术,并转化为模态空间形式.在结构优化的灵敏度分析中应用这种正交规范化条件,推导出系统模态的灵敏度表达式,排除了奇异性对求解非保守系统模态灵敏度系数的影响,公式简洁紧凑,易于实施.并以数值算例说明了它的正确性、有效性.
In the case of non-conservative system, a further study on orthogonality and normalization relationships of state vectors is firstly proposed. A new normalized technique about state vectors is presented accordingly. Secondly by using the orthogonality and normalization condition in sensitivity analysis of structural optimization, modal sensi- tivity expressions are derived. It could simultaneously avoid the effect on solving the coefficient of modal sensitivity, which is caused by the singular property. The expressions are concise and easy to be implemented. Finally the use-fulness and effectiveness of the derived expressions are demonstrated by considering an example of a non-conserva-tive damped four degrees-of-freedom system.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2013年第4期21-24,共4页
Journal of South China Normal University(Natural Science Edition)
基金
吉林省自然科学基金项目(201215115)
关键词
非保守系统
模态灵敏度
正交性
规范性
状态方程
non-conservative system
modal sensitivity
orthogonality
normalization
state-space equation
