Summary: | 碩士 === 中原大學 === 機械工程研究所 === 82 === In this thesis, the vibration analysis of slider-crank mecha-
nism with a flexible connecting rod is studied. The equations
of motion of Timoshenko beam and its corresponding boundary
conditi- ons are developed by Hamilton's principle, which are
transformed into a set of ordinary differential equations by
using of finite element method. The realistic operation
condition is that the cr- ank rotates, and the end of
connecting rod moves reciprocally wi- th slider along the
horizontal guide.The geometric constraint of the end of
connecting rod is derived and introduced into the equ- ations
of motion and boundary conditons. It is found that the bo-
undary condition of the connecting rod moving with slider is
the moving boundary supports, but not the simply supported ones
assu- med in all references. Finally, the Runge-Kutta numerical
method is applied to obtain the transient amplitudes which are
compared with those of considering the flexible rod to be Euler
beam or assuming the ends of connecting rod to be simply
supported. Fur- thermore, the harmonic balance method is used
to obtain the steaty-state solutions of the system.
|