Structural Engineering and Mechanics

Volume 34, Number 2, 2010, pages 231-245

DOI: 10.12989/sem.2010.34.2.231

Vibration analysis of rotating Timoshenko beams by means of the differential quadrature method

D.V. Bambill, D.H. Felix and R.E. Rossi

Abstract

Vibration analysis of rotating beams is a topic of constant interest in mechanical engineering. The differential quadrature method (DQM) is used to obtain the natural frequencies of free transverse vibration of rotating beams. As it is known the DQM offers an accurate and useful method for solution of differential equations. And it is an effective technique for solving this kind of problems as it is shown comparing the obtained results with those available in the open literature and with those obtained by an independent solution using the finite element method. The beam model is based on the Timoshenko beam theory.

Key Words

rotating beam; Timoshenko beam theory; free vibration; differential quadrature method.

Address

D.V. Bambill: Dept. of Engineering, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahia Blanca, Argentina Comision Nacional de Investigaciones Cientificas y Tecnicas, Argentina D.H. Felix and R.E. Rossi: Dept. of Engineering, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahia Blanca, Argentina