Dynamic responses of the flexible connecting rod of a slider-crank mechanism with time-dependent boundary effect

✍ Scribed by Rong-Fong Fung

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 798 KB
• Volume: 63
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(96)00333-1

✦ Synopsis

Ah&a&-The timedependent boundary effect of the end, which moves reciprocally with slider along the horizontal guide, of the flexible connecting rod on the dynamic responses is studied in this paper. The constraint of elastic deformation at the joint between the connecting rod and the slider is theoretically derived but not assumed. The Hamilton's principle is employed to formulate the governing equations of the connecting rod. It is found that the simply-supported assumption at the end is extended and replaced by the time-dependent elastic deformation. The equations of motion are transformed into a set of ordinary differential equations by use of the specific variable transformation and Gakrkin method. Finally, the Rungs-Kutta numerical method is applied to obtain the transient amplitudes. The results are compared for various ratios of the crank radius to the length of the connecting rod. Also, the dynamic responses are compared among Timoshenko and Euler beam theories and those of assuming the ends of connecting rod are simply-supported.