Abstract
The time-dependent 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 Galerkin method. Finally, the Runge-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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
