DYNAMIC ANALYSIS OF THE FLEXIBLE ROD OF QUICK-RETURN MECHANISM WITH TIME-DEPENDENT COEFFICIENTS BY THE FINITE ELEMENT METHOD

✍ Scribed by R.-F. Fung; F.-Y. Lee

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 278 KB
• Volume: 202
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0832

✦ Synopsis

The transient amplitude, dynamic stability and steady-state response of a flexible rod of a high-speed quick-return mechanism are investigated in this paper. The crank drives the rod by means of a translating/rotating joint at a constant speed. The flexible rod is divided into two regions. Each region has a time-dependent length and is modelled by the Timoshenko and Euler beam theories. A special finite element method with time-dependent shape and Hamilton's principle is employed to derive the governing equation, which has time-varying coefficients. By using the Runge-Kutta numerical method, the transient amplitudes are obtained. The steady-state responses due to harmonic excitation are determined by the harmonic balance method. Subsequently, Bolotin's method is used to solve Mathieu-Hill's type equation for the dynamic stability analysis. The stable-unstable boundaries are obtained from the condition that the set of linear homogeneous equations should have a non-trivial solution.