Performance Analysis for 3-■Parallel Mechanism Based on Hessian Matrix
Shuang Liu
Abstract
Shuang Liu
Abstract
In this paper,the velocity and inertial force performance of a new 3-RR(RR)R parallel mechanism are analyzed by global conditioning index which includes both Jacobian matrix and Hessian matrix,and this index is different from that one which only includes Jacobian matrix.The performance atlas are given,and the mechanism's parameters can be easily selected for improving the mechanism's performance.The conclusion presented in this paper provides the theoretical grounds for optimum design of the 3-RR(RR)R mechanism.
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In this paper,the velocity and inertial force performance of a new 3-RR(RR)R parallel mechanism are analyzed by global conditioning index which includes both Jacobian matrix and Hessian matrix,and this index is different from that one which only includes Jacobian matrix.The performance atlas are given,and the mechanism's parameters can be easily selected for improving the mechanism's performance.The conclusion presented in this paper provides the theoretical grounds for optimum design of the 3-RR(RR)R mechanism.
Key concepts: Jacobian matrix and determinant, Hessian matrix, Mechanism (biology), Matrix (chemical analysis), Control theory (sociology), Inertial frame of reference, Computer science, Mathematics