Differential Quadrature Analysis For Free Vibration Of Horizontal Spinning Beams With Various Boundary Conditions

International Conference on Manufacturing Technology, Materials and Chemical Engineering

机械制造;材料科学;化学工业

Zhong, W.Y.^1 ; Gao, F.^1 ; Ren, Y.S.^1 ; Wu, X.X.^1 ; Ma, H.C.^1

College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Shandong Province, Qingdao

266590, China^1

关键词: Boundary problems;    Different boundary condition;    Differential quadrature;    Differential quadrature methods;    Governing differential equations;    Hamilton's principle;    Numerical solution;    Various boundary conditions;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/392/6/062057/pdf
DOI  :  10.1088/1757-899X/392/6/062057

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

The governing differential equations in free vibration are built by using Hamilton's principle for a horizontal spinning beam. The differential quadrature (DQ) method is a numerical solution technique for initial and/or boundary problems. By using the DQ method, the dimensionless natural frequencies at different rotational speeds are obtained for the beams with different boundary conditions. To ensure the accuracy of the present results by the DQ method, comparisons are made with those available in open literature and very good agreements are achieved.