摘要 振动系统是讨论机械振动运动学和动力学，讨论单自由系统振动有着实际意义，因为工程上有许多问题经过简化，用单自由度系统振动理论就能得到满意结果。模态是振动系统一个固有振动特征，模态通常包含频率、振型、阻尼。 振动系统问题是个比较虚拟问题，比较抽象理论分析，对于问题分析能够实体化建立数学模型，经过 MATLAB 能够转化成为图像。单自由度频率、阻尼、振型分析，我们能够建立数学模型，最终经过利用 MATLAB 编程实现数据图形；多自由度主要讨论矩阵迭代求解，我们在分析抽象理论同时依照 MATLAB 编程实现数据迭代最终能够得到所要数据，使我们计算愈加简便。 利用 MATLAB 编程并验证程序正确性。经过程序运行，能快速取得多自由度振动系统固有频率以及主振型，为设计人员提供了预防系统共振理论依据，也为初步分析各构件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 I 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 e problems by simplifying, using the vibration theory of a single degree of freedom systesatisfied 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 analysi can create mathematical models, the final program data through the use of MATLAB graph many degrees of freedom main matrix iterative solution, our analysis based on abstract 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 program.Through the process of operation, can quickly obtain multiple degrees of freedom vibration system main vibration mode natural frequency for the...
