A Fast and Accurate Step-by-Step Solution Procedure for Direct Integration

doi:10.1142/S0219455411004178

淡江大學機構典藏 > 工學院 > 建築學系暨研究所 > 期刊論文 > Item 987654321/58318

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题名:	A Fast and Accurate Step-by-Step Solution Procedure for Direct Integration
作者:	Kuo, Shyh-Rong;Yau, J. D.
贡献者:	淡江大學建築學系
关键词:	Accuracy;direct integration method;FASSTI;momentum;Newmark method;time finite element;unconditionally stability
日期:	2011-06
上传时间:	2011-09-30 22:10:51 (UTC+8)
摘要:	Very small time steps are usually needed in numerical computation as conventional time integration methods are used to compute the response of a structure subjected to a dynamic loading with rapid changes or load discontinuity. To overcome this drawback, this study proposed a fast, fourth-order accurate step-by-step time integration (FASSTI) algorithm that is unconditionally stable and allows larger time steps for linear dynamic problems. From the stability and accuracy analysis, it is shown that the FASSTI algorithm retains the features of unconditional stability, accuracy, and fast convergence than the Newmark method. As a first test, a closed-form solution of an excited single degree of freedom (SDOF) system is derived and used to verify the reliability of the present algorithm in solving linear dynamic problems. In the numerical examples, the accuracy and efficiency of the proposed method is demonstrated in the solution of the dynamic response of an SDOF system under a series of impulse-type forces.
關聯:	International Journal of Structural Stability and Dynamics 11(3), pp.473-493
DOI:	10.1142/S0219455411004178
显示于类别:	[建築學系暨研究所] 期刊論文

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