An algorithm for solving frequency responses of a system with Rayleigh damping

[1]  Zhengguang Li,et al.  A combined method for computing frequency responses of proportionally damped systems , 2015 .

[2]  Charbel Farhat,et al.  An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems , 2013 .

[3]  Charbel Farhat,et al.  Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems , 2012 .

[4]  Zhengguang Li,et al.  An approach for structural static reanalysis with unchanged number of degrees of freedom , 2012 .

[5]  J. Han.  Efficient frequency response and its direct sensitivity analyses for large-size finite element models using Krylov subspace-based model order reduction , 2012 .

[6]  Serkan Gugercin,et al.  Interpolatory projection methods for structure-preserving model reduction , 2009, Syst. Control. Lett..

[7]  Ting-Zhu Huang,et al.  A Preconditioned COCG Method for Solving Complex Symmetric Linear Systems Arising from Scattering Problems , 2008 .

[8]  Zhengguang Li,et al.  A preconditioned conjugate gradient approach to structural reanalysis for general layout modifications , 2007 .

[9]  T. Sogabe,et al.  A COCR method for solving complex symmetric linear systems , 2007 .

[10]  Chang-Wan Kim,et al.  Fast frequency response analysis of large‐scale structures with non‐proportional damping , 2007 .

[11]  S. Gugercin,et al.  Krylov-based model reduction of second-order systems with proportional damping , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[13]  R. P. Selvam,et al.  HYBRID EXPANSION METHOD FOR FREQUENCY RESPONSES AND THEIR SENSITIVITIES, PART II: VISCOUSLY DAMPED SYSTEMS , 2000 .

[14]  S. Vandewalle,et al.  Comparison of quasi minimal residual and bi‐conjugate gradient iterative methods to solve complex symmetric systems arising from time‐harmonic magnetic simulations , 1999 .

[15]  A. Bunse-Gerstner,et al.  On a conjugate gradient-type method for solving complex symmetric linear systems , 1999 .

[16]  Zhong-Sheng Liu,et al.  An accurate modal method for computing response to periodic excitation , 1997 .

[17]  M. J. Wittbrodt,et al.  A critique of mode acceleration and modal truncation augmentation methods for modal response analysis , 1997 .

[18]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[19]  Zhong‐sheng Liu,et al.  An extended hybrid method for contribution due to truncated lower- and higher-frequency modes in modal summation , 1996 .

[20]  M. Akgün,et al.  A New Family Of Mode-Superposition Methods For Response Calculations , 1993 .

[21]  E. Wilson,et al.  Dynamic analysis by direct superposition of Ritz vectors , 1982 .

[22]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[23]  Zhengguang Li,et al.  A preconditioned conjugate gradient method for computing eigenvector derivatives with distinct and repeated eigenvalues , 2015 .

[24]  Daniel Rixen,et al.  Updating component reduction bases of static and vibration modes using preconditioned iterative techniques , 2013 .

[25]  Karl Meerbergen,et al.  Fast frequency response computation for Rayleigh damping , 2008 .

[26]  Z. Qu.  Adaptive mode superposition and acceleration technique with application to frequency response function and its sensitivity , 2007 .

[27]  Zu-Qing Qu,et al.  Accurate methods for frequency responses and their sensitivities of proportionally damped systems , 2001 .

[28]  H. V. D. Vorst,et al.  A Petrov-Galerkin type method for solving Axk=b, where A is symmetric complex , 1990 .

[29]  G. Golub.  Matrix computations , 1983 .