An efficient transient analysis method for linear time-varying structures based on multi-level substructuring method

[1]  R. Guyan.  Reduction of stiffness and mass matrices , 1965 .

[2]  B. Irons.  Structural eigenvalue problems - elimination of unwanted variables , 1965 .

[3]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[4]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[5]  Roy R. Craig,et al.  A review of substructure coupling methods for dynamic analysis , 1976 .

[6]  A. Leung.  An accurate method of dynamic condensation in structural analysis , 1978 .

[7]  D. T. Nguyen,et al.  Eigensolution for large structural systems with substructures , 1980 .

[8]  G. F. Howard,et al.  Time-Domain Finite-Element Solutions for Single-Degree-of-Freedom Systems with Time-Dependent Parameters , 1980 .

[9]  Klaus-Jürgen Bathe,et al.  On nonlinear dynamic analysis using substructuring and mode superposition , 1981 .

[10]  Lu Xian.  Simplified dynamic condensation in multi-substructure systems☆ , 1988 .

[11]  Xian Lu,et al.  Subspace iteration method in multi-level substructure systems , 1989 .

[12]  A. Leung.  Multilevel dynamic substructures , 1989 .

[13]  Lu Xian,et al.  Dynamic superelement substructure method in forced vibration analysis , 1990 .

[14]  Jeffrey Bennighof,et al.  An adaptive multi-level substructuring method for efficient modelingof complex structures , 1992 .

[15]  K. Bathe.  Finite Element Procedures , 1995 .

[16]  Q.S. Li,et al.  Exact Solutions for Free Vibration of Single-Degree-of-Freedom Systems with Nonperiodically Varying Parameters , 2000 .

[17]  Matthew Frederick Kaplan.  Implementation of automated multilevel substructuring for frequency response analysis of structures , 2001 .

[18]  Richard B. Lehoucq,et al.  An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics , 2004, SIAM J. Sci. Comput..

[19]  Giuseppe Muscolino,et al.  A substructure approach for the dynamic analysis of train-track-bridge system , 2005 .

[20]  W. Rachowicz,et al.  Automated multi-level substructuring (AMLS) for electromagnetics , 2009 .

[21]  A. Leung.  Dynamic substructure method for elastic fractal structures , 2011 .

[22]  Heinrich Voss,et al.  Automated multi‐level sub‐structuring for fluid–solid interaction problems , 2011, Numer. Linear Algebra Appl..

[23]  Hongping Zhu,et al.  Substructure based approach to finite element model updating , 2011 .

[24]  C. Bajer,et al.  Numerical Analysis of Vibrations of Structures under Moving Inertial Load , 2012 .

[25]  Bai Yang.  Transient analysis method based on multi-level dynamic substructures , 2013 .

[26]  H. Voss,et al.  Improving eigenpairs of automated multilevel substructuring with subspace iterations , 2013 .

[27]  K. Bathe,et al.  Component mode synthesis with subspace iterations for controlled accuracy of frequency and mode shape solutions , 2014 .

[28]  Rui Zhao,et al.  Hamilton's law of variable mass system and time finite element formulations for time‐varying structures based on the law , 2014 .

[29]  Göran Sandberg,et al.  Reduction methods for the dynamic analysis of substructure models of lighweight building structures , 2014 .