The Stability and Response of a Flexible Rod in a Quick Return Mechanism: Large Crank Case

✍ Scribed by D.G. Beale; R.A. Scott

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 377 KB
• Volume: 166
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1993.1306

✦ Synopsis

The response and stability of a flexible rod, rigid crank quick return mechanism is investigated without a small crank restriction. A Galerkin's approach was found to be too computationally intensive, due to the moving boundary and complex mode shapes, and thus unsuitable for monodromy based parametric resonance stability investigations. A simple set of polynomial modes were developed. Although requiring more modes than the Galerkin method to obtain the same accuracy, polynomial modes require less computation time for stability investigations. A free-free (time independent) mode method was used to obtain non-linear dynamical and constraint equations. The method was found to be the most accurate and least computationally expensive for response; however, these equations were non-linear and not suitable for stability investigations.