The direct updating of damping and gyroscopic matrices

In this paper we develop an efficient numerical method for the finite element model updating of damped gyroscopic systems. This model updating of damped gyroscopic systems is proposed to incorporate the measured modal data into the finite element model to produce an adjusted finite element model on the damping and gyroscopic matrices that closely match the experimental modal data.

[1]  Biswa Nath Datta,et al.  Feedback Control in Distributed Parameter Gyroscopic Systems: A Solution of the Partial Eigenvalue A , 2001 .

[2]  Leonard Meirovitch,et al.  A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems , 1974 .

[3]  Fu-Shang Wei,et al.  Mass and stiffness interaction effects in analytical model modification , 1990 .

[4]  Biswa Nath Datta,et al.  Theory and computations of partial eigenvalue and eigenstructure assignment problems in matrix second-order and distributed-parameter systems , 2001 .

[5]  Alex Berman,et al.  Optimal weighted orthogonalization of measured modes , 1979 .

[6]  Menahern Baruch,et al.  Optimal Weighted Orttiogonalization of Measured Modes , 1978 .

[7]  F. R. Gantmakher.  The Theory of Matrices , 1984 .

[8]  H. W. Braden,et al.  The Equations ATX\pm XTA=B , 1999, SIAM J. Matrix Anal. Appl..

[9]  Adi Ben-Israel,et al.  Generalized inverses: theory and applications , 1974 .

[10]  Fu-Shang Wei,et al.  Analytical dynamic model improvement using vibration test data , 1990 .

[11]  Karl Meerbergen,et al.  The Quadratic Eigenvalue Problem , 2001, SIAM Rev..

[12]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[13]  M. Baruch.  Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests , 1978 .

[14]  S. R. Ibrahim.  Dynamic Modeling of Structures from Measured Complex Modes , 1982 .

[15]  A. Berman,et al.  Improvement of a Large Analytical Model Using Test Data , 1983 .

[16]  Chun-Hua Guo.  Numerical solution of a quadratic eigenvalue problem , 2004 .

[17]  Jiang Qian,et al.  A numerical method for quadratic eigenvalue problems of gyroscopic systems , 2007 .

[18]  Weiji Wang,et al.  A reduction method for large scale unsymmetric eigenvalue problems in structural dynamics , 1997 .

[19]  D. Inman,et al.  Identification of a Nonproportional Damping Matrix from Incomplete Modal Information , 1991 .

[20]  R. H. Plaut,et al.  Alternative formulations for discrete gyroscopic eigenvalue problems , 1976 .

[21]  M. Friswell,et al.  Direct Updating of Damping and Stiffness Matrices , 1998 .

[22]  Jean-Guy Béliveau,et al.  Identification of Viscous Damping in Structures From Modal Information , 1976 .

[23]  F. Wei,et al.  Stiffness matrix correction from incomplete test data , 1980 .

[24]  Alex Berman,et al.  Mass Matrix Correction Using an Incomplete Set of Measured Modes , 1979 .

[25]  P. Bahr,et al.  Sampling: Theory and Applications , 2020, Applied and Numerical Harmonic Analysis.