Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method

作者: Mohammad Hossein Bazyar , Chongmin Song

DOI: 10.1002/EQE.606

关键词: Singular boundary methodGeometryMathematicsGeneralized coordinatesDiscretizationEquations of motionFundamental solutionFinite element methodIsotropyMathematical analysisTransverse isotropy

摘要: SUMMARY The scaled boundary finite-element method has been developed for the dynamic analysis of unbounded domains. In this only is discretized resulting in a reduction spatial dimension by one. Like no fundamental solution required. This paper extends to simulate transient response non-homogeneous domains with elasticity modulus and mass density varying as power functions coordinates. To reduce number degrees freedom computational cost, technique reduced set base applied. equation an domain reformulated generalized acceleration unit-impulse matrix obtained assembled motion standard finite elements. Numerical examples isotropic transversely demonstrate accuracy method. Copyright q 2006 John Wiley & Sons, Ltd.

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