Mechanical Engineering Commons^™

Complete Solution Of The Five-Position Synthesis For Spherical Four-Bar Mechanisms, Chen-Chou Lin

Journal of Marine Science and Technology

The objective of this paper is to synthesis spherical four-bar motion and path generators using continuation method (homotopy method). Using continuation method, we may obtain a complete set of the solutions to the problems, and provide mechanism designers with all possible choices which meet the kinematic specifications. In contrast to other local numerical schemes such as Newton method and Powell method which are sensitive to initial guess, continuation method is a global convergence method that guarantee to find all solutions to the equations. In this paper, the problems with four and five precision points will be formulated, solved, and compared …