YIN Xiaoli, LI Chunming. On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis[J]. Applied Mathematics and Mechanics, 2020, 41(4): 367-375. doi: 10.21656/1000-0887.400173
Citation: YIN Xiaoli, LI Chunming. On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis[J]. Applied Mathematics and Mechanics, 2020, 41(4): 367-375. doi: 10.21656/1000-0887.400173

On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis

doi: 10.21656/1000-0887.400173
  • Received Date: 2019-05-16
  • Rev Recd Date: 2020-03-20
  • Publish Date: 2020-04-01
  • The crankrocker mechanism is a typical planar quabody mechanism. When the crank is a driven part, there is a kinematics bifurcation position (stuck position or dead point) with the collinear crank and rod. So it is difficult to achieve accurate programmed research. With the crank as the driving part, the same higher derivatives of the driven part position angles were obtained through differentiation of the vector projection equations and the angular velocity formula several times. With the rocker as the driving part, based on the L’Hopital’s rule, the derivative multiplication law, the chain derivative law and the vector equation graphic method, the kinematics parameters of 0/0 indefinites at the stuck position were obtained. The calculation formula was derived. So the foundation for accurate kinematics programmed simulation was made. The example shows that, 1) the order of derivation and solution of the vector projection equation system does not influence the final result; 2) the driven crank keeps the continuity of motion without impact at the stuck position.
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