基于MATLAB的振动模态分析-毕业设计论文.doc-振动系统理论与实践

III document titled "Vibration Modal Analysis Based on MATLAB - Graduation Thesis" is a comprehensive study on the vibration characteristics of mechanical systems. The research is focused on both single-degree-of-freedom systems as well as multiple-degree-of-freedom systems. The study aims to provide practical results by analyzing simplified problems through the application of vibration theory. The analysis of single-degree-of-freedom systems includes the analysis of frequency, damping, and mode shape. Mathematical models are established to represent these systems, and MATLAB programming is utilized to visualize the data in graphical form. For multiple-degree-of-freedom systems, the iterative solution of matrices is the main focus. The abstract theoretical analysis is complemented by MATLAB programming to facilitate data iteration and obtain the desired results. This approach streamlines the calculations and makes the analysis more convenient. By using MATLAB programming and verifying the correctness of the program, the study efficiently obtains the natural frequencies and principal mode shapes of multiple-degree-of-freedom vibration systems. This provides theoretical support for preventing system resonance and serves as a foundation for preliminary analysis of component vibration and decoupled analysis of system response. In conclusion, the document "Vibration Modal Analysis Based on MATLAB - Graduation Thesis" presents a comprehensive study on the vibration characteristics of mechanical systems. Through the application of MATLAB programming, the study successfully analyzes both single-degree-of-freedom and multiple-degree-of-freedom systems, providing practical results and theoretical support for engineers and designers.