| 具有两种不同阻尼模型的非黏滞阻尼系统的状态空间方法 |
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| 引用本文： | 修国众,时宝,王丽英.具有两种不同阻尼模型的非黏滞阻尼系统的状态空间方法[J].上海师范大学学报(自然科学版),2020,49(1):1-8. |
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| 作者姓名： | 修国众 时宝 王丽英 |
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| 作者单位： | 海军航空大学航空基础学院,山东 烟台 264001;海军航空大学航空基础学院,山东 烟台 264001;海军航空大学航空基础学院,山东 烟台 264001 |
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| 基金项目： | 国家自然科学基金（11802338） |
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| 摘 要： | 考虑具有两种不同阻尼模型的三自由度线性非黏滞阻尼系统.通过使用一组内部变量变换,将传统的状态空间方法扩展到非黏滞阻尼系统,从而将系统转换为时间域上的一阶线性系统.这种拓展的状态空间公式可以应用于具有两种不同阻尼模型的多自由度线性非黏滞阻尼系统,使系统更加简单,便于分析.最后以指数阻尼系统为例子,证明了这种状态空间方法的有效性.
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| 关 键 词： | 状态空间方法 非黏滞阻尼系统 阻尼模型 拉普拉斯逆变换 |
| 收稿时间： | 2019/12/20 0:00:00 |
State space method for nonviscously damped system with two different damping models |
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| XIU Guozhong,SHI Bao and WANG Liying.State space method for nonviscously damped system with two different damping models[J].Journal of Shanghai Normal University(Natural Sciences),2020,49(1):1-8. |
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| Authors: | XIU Guozhong SHI Bao and WANG Liying |
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| Institution: | School of Basic Science for Aviation, Naval Aviation University, Yantai 264001, Shandong, China,School of Basic Science for Aviation, Naval Aviation University, Yantai 264001, Shandong, China and School of Basic Science for Aviation, Naval Aviation University, Yantai 264001, Shandong, China |
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| Abstract: | We consider a three degree-freedom linear nonviscously damped system with two different damping models is considered.We use a set of internal variable transformations,the traditional state space method is extended to the nonviscously damped system,and transform the system into a first-order linear system in the time domain.This extended state space formula can be applied to the multi degree of freedom linear nonviscously damped system with two different damping models,thus the system is simplified and can be analyzed more easily.Finally,the effectiveness of the state space method is proved by taking the exponential damping system as an example. |
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| Keywords: | state space method nonviscously damped system damping models inverse Laplace transform |
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