Linear and nonlinear frequency analyses for the rotating diaphragm of the coupling

Abstract

The linear and nonlinear frequencies of the diaphragm are analyzed in this paper. Firstly, the nonlinear vibration equation is set up based on the d’Alembert principle considering the geometric nonlinearity. Then, the Galerkin method and improved L-P method are employed to obtain the linear and nonlinear solutions of the governing equation. And the results from the finite element method (FEM) are introduced to make a comparison to verify the correctness. Finally, the effects of several parameters such as the transmitted torque and rotating speed on the linear and nonlinear frequencies of the diaphragm are discussed.

Keywords:

• Diaphragm
• Galerkin method
• improved L-P method
• linear and nonlinear frequency

Disclosure statement

The authors declare that they have no conflict of interest.

Additional information

Funding

This research work was supported by the National Natural Science Foundation of China under Grant (Nos. 11872319) and Doctoral Innovation Fund Program of Southwest Jiaotong University under (No. DCX201739).