## 留言板

 引用本文: 郑兆昌. 非线性系统动力分析的模态综合技术[J]. 应用数学和力学, 1983, 4(4): 563-572.
Zheng Zhao-chang. Dynamic Analysis of Nonlinear Systems by Modal Synthesis Techniques[J]. Applied Mathematics and Mechanics, 1983, 4(4): 563-572.
 Citation: Zheng Zhao-chang. Dynamic Analysis of Nonlinear Systems by Modal Synthesis Techniques[J]. Applied Mathematics and Mechanics, 1983, 4(4): 563-572.

## Dynamic Analysis of Nonlinear Systems by Modal Synthesis Techniques

• 摘要: 各种模态综合方法已广泛应用于线性结构的动力分析,但是,一般都不适用于非线性系统. 本文基于[20][21]提出的方法,将一种模态综合技术推广到非线性系统的动力分析.该法应用于具有连接件耦合的复杂结构系统,以往把连接件简化为线性弹簧和阻尼器.事实上,这些连接件通常具有非线性弹性和非线性阻尼特性.例如,分段线性弹簧、软特性或硬特性弹簧、库伦阻尼、弹塑性滞后阻尼等.但就各部件而言,仍属线性系统.可以通过计算或试验或兼由两者得到一组各部件的独立的自由界面主模态信息,且只保留低阶主模态.通过连接件的非线性耦合力,集合各部件运动方程而建立成总体的非线性振动方程.这样问题就成为缩减了自由度的非线性求解方程,可以达到节省计算机的存贮和运行时间的目的.对于阶次很高的非线性系统,若能缩减足够的自由度,那么问题就可在普通的计算机上得以解决. 由于一般多自由度非线性振动系统的复杂性,一般而言,这种非线性方程很难找到精确解.因此,对于任意激励下系统的瞬态响应,可以采用数值计算方法求解缩减的非线性方程.
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##### 出版历程
• 收稿日期:  1982-03-01
• 刊出日期:  1983-08-15

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