Differential-Algebraic Approach to Large Deformation Analysis of Frame Structures Subjected to Dynamic Loads

HU Yu-jia; ZHU Yuan-yuan; CHENG Chang-jun

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(4): 398-408

HU Yu-jia, ZHU Yuan-yuan, CHENG Chang-jun. Differential-Algebraic Approach to Large Deformation Analysis of Frame Structures Subjected to Dynamic Loads[J]. Applied Mathematics and Mechanics, 2008, 29(4): 398-408.

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Differential-Algebraic Approach to Large Deformation Analysis of Frame Structures Subjected to Dynamic Loads

1.
Shanghai Institute of Applied Mathematics and Mechanics;Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2007-09-10
Rev Recd Date: 2008-02-19
Publish Date: 2008-04-15

Abstract

Abstract

A nonlinear mathematical model for the large deformation analysis of frame structures with discontinuity conditions as well as initial displacements subjected to the dynamic loads was first formulized by the arc-coordinate.Secondly,the differential quadrature element method (DQEM) was applied to discretize the nonlinear mathematical model in the spatial domain,and an effective method was presented to deal with discontinuity conditions of multi-variables in application of DQEM.A set of DQEM discretization equations were obtained,which are a set of nonlinear differential-algebraic equations with singularity in the temporal domain.A method to solve the nonlinear differential-algebraic equations was presented also.As application,the static and dynamical analyses of large deformation of frames and combined frame structures,subjected to the concentrated and distributed forces,were presented.The obtained results were compared with the results in existing literatures.The numerical results show that the methods of dealing with the discontinuity conditions of multi-variables and solving the differential-algebraic equations presented are effective and general,which have the advantages of little amount of nodes and computation,high precision and good convergence and so on.
- frame,
- large deformation,
- discontinuity condition,
- differential quadrature element method(DQEM),
- differential-algebraic system

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References(12)

References

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