摘要
本文求出了线性振动亏损系统的一个完备的广义特征向量系,称之为广义模态;找出并证明了系统与其伴随系统的广义模态之间的部分双正交关系,并据此导出线性振动系统最一般的传递函数和脉冲响应函数表达式,示例表明了本文理论和方法的正确性和有效性。
In this paper, according to the characteristics of linear vibrating defective systems, a complete set of linearly independent generalized eigenvectors is found for the defective system. Such eigenvectors many be called as generalized modes. The partially bi-orthogonality relation between the generalized modes of the original and the adjoint systems i's also found and demonstrated. By use of the bi-orthogonality relation, the most general expressions of the transfer function and the pulse response function of linear vibrating system are derived.A sample example is given to show the correctness and effectiveness of the suggested theory and method.
出处
《力学学报》
EI
CSCD
北大核心
1989年第2期183-191,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
线性振动
亏损系统
结构振动
模态
structural dynamics, linear vibrating defective systems, generalized modes.
