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Research on 3D Assembly Constraint Solving with Approximate Update Formula of Jacobian Matrix

Abstract: A new method of approximately updating Jacobian matrix during 3D assembly#br# constraint solving is proposed in this paper. This method principally improves the efficiency of#br# constraints solving based on the approximate update of Jacobian matrix. First, an approximate#br# update formula of Jacobian matrix and its inverse matrix are inserted to the non-linear iterative#br# solution process. After that, the indispensable constraint is put forward, which must be satisfied#br# when using the formulas above. At last, a solution handling row rank defect of Jacobian matrix is#br# introduced via disturbance algorithm description. The methodology presented is implemented in a#br# 3D assembly constraint solving engine, named CBABench. An example given at the end of this#br# paper shows that the method has achieved a considerable effect.#br# Key words: constraint solving; Jacobian update; geometric constrains; 3D assembly;#br# non-linear equations   

  • Online:2015-06-30 Published:2015-05-05

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Abstract: A new method of approximately updating Jacobian matrix during 3D assembly
constraint solving is proposed in this paper. This method principally improves the efficiency of
constraints solving based on the approximate update of Jacobian matrix. First, an approximate
update formula of Jacobian matrix and its inverse matrix are inserted to the non-linear iterative
solution process. After that, the indispensable constraint is put forward, which must be satisfied
when using the formulas above. At last, a solution handling row rank defect of Jacobian matrix is
introduced via disturbance algorithm description. The methodology presented is implemented in a
3D assembly constraint solving engine, named CBABench. An example given at the end of this
paper shows that the method has achieved a considerable effect.

Key words: constraint solving, Jacobian update, geometric constrains, 3D assembly;
non-linear equations