Free Vibration Analysis Of Horizontal Spinning Beams Using The Differential Quadrature Method

4th International Conference on Applied Materials and Manufacturing Technology

材料科学;机械制造

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;    Differential quadrature methods;    Free-vibration analysis;    Governing differential equations;    Hamilton's principle;    Numerical solution;    Rotational speed;    Spinning beam;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012183/pdf
DOI  :  10.1088/1757-899X/423/1/012183

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

The governing differential equations in free are built vibration 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 cantilever beam. 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.