Natural frequencies of a Timoshenko beam subjected to axial forces by the differential transform method

2019 International Conference on Advances in Materials, Mechanical and Manufacturing

材料科学;机械制造

Bensabri, Omar^1 ; Yu, Jingjun^1

School of Mechanical Engineering and Automation, Beihang University, Beijing

100191, China^1

关键词: Differential transform method;    Exact solution;    Hamiltonian approach;    High-accuracy;    Numerical results;    Rotational speed;    Timoshenko beam theory;    Timoshenko beams;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/576/1/012027/pdf
DOI  :  10.1088/1757-899X/576/1/012027

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

Rotating beams are extensively used in different mechanical and aeronautical installations. In this paper, a systematic approach is presented in order to solve the eigenvalues problem through the Timoshenko beam theory. The equations of motion are deduced by using the Hamiltonian approach. These equations are then solved by the differential transform method (DTM). The obtained numerical results using DTM are compared with the exact solution. Natural frequencies are determined, and the effects of the rotational speed and axial force on the natural frequencies are investigated. Results show high accuracy and efficiency of the differential transform method.