"基于MATLAB的四层框架结构动力响应研究"

The document titled "The four layers of frame structure dynamic response based on MATLAB and research sample.doc" provides a comprehensive study conducted by Xu Keyue, a graduate student from Jinan University, on structural dynamics. The study focuses on using MATLAB programming language to analyze the dynamic response of a four-layer building structure. The research includes calculations of structural natural frequencies, mode shapes, and analysis of the structure's response under free vibration and general excitation. One of the key methods used in the study is the Newmark-β method, which was employed to compute the displacement response of the structure under harmonic sinusoidal excitation. Additionally, the study incorporates the Rayleigh damping matrix to calculate the structural free vibration displacement response after unloading the harmonic sinusoidal load, using the displacement response as the initial condition. The research conducted by Xu Keyue provides valuable insights into the dynamic behavior of multi-layered frame structures, demonstrating the effectiveness of MATLAB in analyzing structural dynamics. The study contributes to the existing body of knowledge in structural engineering and serves as a valuable resource for students and researchers in the field. Overall, the document serves as a detailed guide for understanding the dynamic response of multi-layered frame structures and showcases the application of MATLAB in structural analysis. It highlights the importance of accurate calculations and precise modeling techniques in studying the behavior of complex building structures under various loading conditions.