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Structural Optimization Based on Method of Reduced Degree of Freedoms

Author: ChenDengKe
Tutor: KangZhan
School: Dalian University of Technology
Course: Computational Mechanics
Keywords: DOF reduction method Sub- structure interface displacement coacervation Dynamic Optimization Heterogeneous multiscale methods
CLC: O342
Type: Master's thesis
Year: 2010
Downloads: 62
Quote: 0
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Abstract


Mechanical analysis and optimization of complex structures , often using the finite element method to discretize the overall mass matrix and stiffness matrix . Overall stiffness matrix is very large , so whether it is solving the static equilibrium equations , or solving a generalized eigenvalue equation will spend a lot of computing resources . In this paper, the sub- structure interface displacement coacervation and heterogeneous multi-scale method reduction of degrees of freedom of the overall stiffness matrix of the structure , and this on the basis of structural analysis and optimization . Sub- structure interface displacement coacervation first of a whole structure is divided into a number of sub- structure , and then unite the various sub - structure stiffness matrix composed reduced overall stiffness matrix . This put the high-end of the generalized eigenvalue problem into low-level generalized eigenvalue problem . The contribution of this paper is on the basis of the sub- structure interface displacement law , the use of MATLAB and ANSYS interactive programming , build a systematic program analysis and optimization of structural dynamic performance framework . Heterogeneous multi-scale method (Heterogeneous Multi-scale Method HMM) is a widely used theoretical framework , multiscale computational framework provides a very general , different researchers in the field can use this model to design solving the multi -scale model . The main work of this paper is in HMM framework on the basis of , derived multiscale linear elastic calculation of HMM -FEM . And through several examples to verify the validity and accuracy of this method .

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Structural Mechanics
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