Dynamic characteristics of multi-span spinning beams with elastic constraints under an axial compressive force

作     者：Xiaodong GUO Zhu SU Lifeng WANG Xiaodong GUO;Zhu SU;Lifeng WANG

作者机构：State Key Laboratory of Mechanics and Control for Aerospace StructuresNanjing University of Aeronautics and AstronauticsNanjing 210016China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2024年第45卷第2期

页      面：295-310页

核心收录：

学科分类：08[工学] 0701[理学-数学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Science Fund for Distinguished Young Scholars of China (No.11925205) the National Natural Science Foundation of China (Nos.51921003 and 12272165) 

主　　题：multi-span spinning beam elastic constraint improved Fourier series free vibration semi-analytical solution 

摘      要：A theoretical model for the multi-span spinning beams with elastic constraints under an axial compressive force is *** displacement and bending angle functions are represented through an improved Fourier series,which ensures the continuity of the derivative at the boundary and enhances the *** exact characteristic equations of the multi-span spinning beams with elastic constraints under an axial compressive force are derived by the Lagrange *** efficiency and accuracy of the present method are validated in comparison with the finite element method(FEM)and other *** effects of the boundary spring stiffness,the number of spans,the spinning velocity,and the axial compressive force on the dynamic characteristics of the multi-span spinning beams are *** results show that the present method can freely simulate any boundary constraints without modifying the solution *** elastic range of linear springs is larger than that of torsion springs,and it is not affected by the number of *** an increase in the axial compressive force,the attenuation rate of the natural frequency of a spinning beam with a large number of spans becomes larger,while the attenuation rate with an elastic boundary is lower than that under a classic simply supported boundary.