A DIRECT INTEGRATION METHOD OF ELASTODYNAMICS USING FINITE-ELEMENT TIME DISCRETIZATION

The finite element time discretization is utilized to develop a new direct integration method. The derived recurrence formula is implicit and self-starting. There are no undetermined parameters which are often used to control stability and accuracy in the traditional direct time integration methods. The method is analytically shown to be unconditionally stable and second-order accurate. The test with a single degree-of-freedom linear model has supported the analysis of convergence and errors. It has been shown that the proposed method gives consistently better response history than the two well-known methods even with larger time steps. A two degree-of-freedom Hertzian impact model is solved to show its performance for a typical nonlinear problem. It is concluded that the proposed method works very well with useful properties as expected.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1993-04
Language
ENG
Keywords

SINGLE STEP ALGORITHMS; DYNAMIC PROBLEMS; UNIFIED SET

Citation

COMPUTERS STRUCTURES, v.47, no.2, pp.201 - 211

ISSN
0045-7949
URI
http://hdl.handle.net/10203/65578
Appears in Collection
ME-Journal Papers(저널논문)
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