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| 关于多自由度非线性系统单频振动的渐近解 | |
| 引用本文： | 李翠英. 关于多自由度非线性系统单频振动的渐近解[J]. 江西科学, 1996, 14(2): 67-75 |
| 作者姓名： | 李翠英 |
| 作者单位： | 北京理工大学应用力学系 |
| 摘 要： | 引入单频振动下与振型与质量系数有关的坐标，使得由二阶微分方程组描述的多自由度非线性系统的单频振动的渐近解的求法，可以变成和求单自由度非线性渐近解具有类似的形式，并可推广用于求多自由度非线性系统多频振动的渐近解。 |
| 关 键 词： | 渐近解 单频振动 多频振动 非线性系统 振动 |
THE ASYMPTOTIC SOLUTION WITH RESPECT TO MULTI-DEGREE FREEDOM NONLINEAR VIBRATION SYSTEM SINGLE-FREQUENCY VIBRATION |
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| Li Cuisine. THE ASYMPTOTIC SOLUTION WITH RESPECT TO MULTI-DEGREE FREEDOM NONLINEAR VIBRATION SYSTEM SINGLE-FREQUENCY VIBRATION[J]. Jiangxi Science, 1996, 14(2): 67-75 | |
| Authors: | Li Cuisine |
| Abstract: | Introducing coordinates of mode and mass coefficients relating to single frequency vibration changed the original problem, solving single frequency vibration asymptotic solution of multi-degree freedom nonlinear vibration system described in second-order differential equations, to a problem similar to solving single-degree freedom asymptotic solution of nonlinear vibration system. This method may be spread to request multi-frequency vibration asymptotic solution of multi-degree freedom nonlinear vibration system. |
| Keywords: | Asymptotic solution Single-frequency vibration Multi-frequency vibration Dominant mode |
| 本文献已被 CNKI 维普 等数据库收录！ | |