文档介绍：基于MATLAB的振动模态分析
摘要
振动系统是研究机械振动的运动学和动力学,研究单自由系统的振动有着实际意义,因为工程上有许多问题通过简化,用单自由度系统的振动理论就能得到满意的结果。模态是振动系统的一种固有振动特性,模态一般包含频率、振型、阻尼。
振动系统问题是个比较虚拟的问题,比较抽象的理论分析,对于问题的分析可以实体化建立数学模型,通过MATLAB可以转化成为图像。单自由度频率、阻尼、振型的分析,我们可以建立数学模型,最后通过利用MATLAB编程实现数据图形;多自由度主要研究矩阵的迭代求解,我们在分析抽象的理论的同时根据MATLAB编程实现数据的迭代最后可以得到所要的数据,使我们的计算更加简便。
利用MATLAB编程并验证程序的正确性。通过程序的运行,能快速获得多自由度振动系统的固有频率以及主振型,为设计人员提供了防止系统共振的理论依据,也为初步分析各构件的振动情况以及解耦分析系统响应奠定了基础。
关键词:振动系统;单自由度;MATLAB;多自由度
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Abstract
Vibration system is to study the kinematics and dynamics of mechanical vibration, the vibration of a single free system has practical significance,
because there are many engineering problems by simplifying, using the vibration theory of a single degree of freedom system can be satisfied with the results.
Vibration system problems is a relatively virtual problems, more abstract and theoretical analysis, problem analysis for a mathematical model can be materialized by MATLAB can be converted into images. Single degree of freedom frequency, damping, mode shape analysis, we can create mathematical models, the final program data through the use of MATLAB graphics; many degrees of freedom main matrix iterative solution, our analysis based on abstract theory, while MATLAB programming The last iteration of data can be the desired data, so our calculations easier
Using MATLAB programming and verify the correctness of the progr