Improved discrete null space method for dynamics analysis constrained multiboby systems
Received:February 14, 2012  Revised:October 08, 2012
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DOI:10.7511/jslx201304007
KeyWord:constrained multibody systems  differential algebraic equations (DAEs)  discrete null space  variational integrator  constraint violation
     
AuthorInstitution
刘颖 复旦大学 力学与工程科学系,上海
马建敏 复旦大学 力学与工程科学系,上海
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Abstract:
      Through improving the calculation method of the discrete null space matrix,an improved discrete null space equivalent transformation formula is constructed.The proposed formula is not depended upon special integral method,and thus can easily and flexibly be combined with many kinds of integral methods.Based on the improved formula,an improved discrete null space scheme is proposed,applying for dynamics analysis constrained multiboby systems.Then by the combination of the scheme and general variational integral,an improved discrete null space method for constrained multiboby systems is constructed.By the numerical experiment of the mechanism of slider-crank,it is demonstrated that the improved discrete null space equivalent transformation formula is correct and can smoothly be combined with integral methods,and that the improved discrete null space method is feasible and effective.