AN IMPLICIT SERIES PRECISE INTEGRATION ALGORITHM FOR STRUCTURAL NONLINEAR DYNAMIC EQUATIONS-中国期刊网

摘要 Nonlineardynamicequationscanbesolvedaccuratelyusingapreciseintegrationmethod.Somealgorithmsexist,buttheinversionofamatrixmustbecalculatedforthesealgorithms.Iftheinversionofthematrixdoesn'texistorisn'tstable,theprecisionandstabilityofthealgorithmswillbeaffected.Anexplicitseriessolutionofthestateequationhasbeenpresented.Thesolutionavoidscalculatingtheinversionofamatrixanditsprecisioncanbeeasilycontrolled.Inthispaper,animplicitseriessolutionofnonlineardynamicequationsispresented.Thealgorithmismorepreciseandstablethantheexplicitseriessolutionandisn'tsensitivetothetime-step.Finally,anumericalexampleispresentedtodemonstratetheeffectivenessofthealgorithm.

1Zhang Hongwu; Chen Biaosong; gu Yuanxian. AN ADAPTIVE ALGORITHM OF PRECISE INTEGRATION FOR TRANSIENT ANALYSIS.固体力学,2001-03.
2Ningning Zhu;Fanwei Meng. ON THE BOUNDEDNESS OF A CLASS OF NONLINEAR DYNAMIC EQUATIONS OF THE THIRD ORDER.基础数学,2017-01.
3杜修力;曾迪. Structural physical parameter identification based on evolutionary-simplex algorithm and structural dynamic response.地震学,2003-02.
4. THE EFFECT OF NUMERICAL INTEGRATION IN FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS.基础数学,2000-02.
5Maria B. Pintarelli. Volterra Integral Equations and Some Nonlinear Integral Equations with Variable Limit of Integration as Generalized Moment Problems.基础数学,2015-01.
6Jin-yanFan. A MODIFIED LEVENBERG-MARQUARDT ALGORITHM FOR SINGULAR SYSTEM OF NONLINEAR EQUATIONS.计算数学,2003-05.
7Jun-Sheng Duan;Randolph Rach. The Degenerate Form of the Adomian Polynomials in the Power Series Method for Nonlinear Ordinary Differential Equations.基础数学,2015-10.
8Jie Li;Zhongming Jiang. A data-based CR-FPK method for nonlinear structural dynamic systems.力学,2018-04.
9高强;谭述君;钟成勰;张洪武. Improved precise integration method for differential Riccati equation.力学,2013-01.
10WANG Gui-ye;ZOU Wei-xia;WANG Zhen-yu;DU Guang-long;GAO Ying. Cancellation of nonlinear distortion based on integration of FCM clustering algorithm and adaptive-two-stage linear approximation.通信与信息系统,2014-03.

AN IMPLICIT SERIES PRECISE INTEGRATION ALGORITHM FOR STRUCTURAL NONLINEAR DYNAMIC EQUATIONS

来源期刊

相关推荐

同分类资源更多

相关关键词

AN IMPLICIT SERIES PRECISE INTEGRATION ALGORITHM FOR STRUCTURAL NONLINEAR DYNAMIC EQUATIONS

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多