A step-by-step time integration method based on the principle of minimum   transformed energy

doi:10.1299/jsmec.48.738

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	A step-by-step time integration method based on the principle of minimum transformed energy
	Liu, TL ; Liu, KS ; Zhang, JX ; Tanimura, S
刊名	jsme international journal series c mechanical systems machine elements and manufacturing
	2005
关键词	computation mechanics numerical analysis Gurtin-type functional dynamic response step-by-step time integration FINITE-ELEMENT METHODS STRUCTURAL DYNAMICS EQUATIONS ELASTODYNAMICS
DOI	10.1299/jsmec.48.738
英文摘要	A step-by-step time integration method is presented for dynamic response analysis based on Benthien-Gurtin's principle of minimum transformed energy in linear elastodynamics. First of all, a single convolution-type (Gurtin-type) functional in the real space is obtained from the functional in Laplace space. Then the concrete functional, that can be used to construct time integration methods by adopting some interpolation functions, is established after successively spatial and temporal discretization. The cubic Hermite interpolation functions in temporal domain are adopted to show the procedure of constructing time integration method and the new numerical method is developed finally. The specific stability characteristics about the unconditional and conditional stabilities of the numerical method are investigated in detail. The numerical examples show that the algorithm is of satisfying accuracy and is an effective method for the numerical calculations of dynamic response problems in engineering.; Engineering, Manufacturing; Engineering, Mechanical; SCI(E); EI; 1; ARTICLE; 4; 738-747; 48
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/399395]
专题	工学院
推荐引用方式 GB/T 7714	Liu, TL,Liu, KS,Zhang, JX,et al. A step-by-step time integration method based on the principle of minimum transformed energy[J]. jsme international journal series c mechanical systems machine elements and manufacturing,2005.
APA	Liu, TL,Liu, KS,Zhang, JX,&Tanimura, S.(2005).A step-by-step time integration method based on the principle of minimum transformed energy.jsme international journal series c mechanical systems machine elements and manufacturing.
MLA	Liu, TL,et al."A step-by-step time integration method based on the principle of minimum transformed energy".jsme international journal series c mechanical systems machine elements and manufacturing (2005).