A MODIFIED MSE METHOD FOR VISCOELASTIC SYSTEMS - A WEIGHTED STIFFNESS MATRIX APPROACH

被引:17
作者
HU, BG
DOKAINISH, MA
MANSOUR, WM
机构
[1] McMaster University, Hamilton, ON
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1995年 / 117卷 / 02期
关键词
Algorithms - Approximation theory - Computer simulation - Damping - Degrees of freedom (mechanics) - Eigenvalues and eigenfunctions - Error analysis - Finite element method - Sandwich structures - Stiffness matrix - Vibrations (mechanical) - Viscoelasticity;
D O I
10.1115/1.2873923
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The conventional Modal Strain Energy method (MSE is briefly discussed. Several indices are proposed to characterize a viscoelastically damped system. An Overall Error Index is proposed to assess the accuracy of the solution. A Modified MSE method is developed for a better evaluation of modal damping. Instead of neglecting the damping stiffness matrix in the determination of the eigenvectors, as is the case in the conventional MSE method the authors used a weighted matrix to solve a real eigenvalue problem. With such modification the estimation of the modal damping is often improved. Numerical simulation of multi degree-of-freedom systems are reported using the proposed Modified MSE method and the indices.
引用
收藏
页码:226 / 231
页数:6
相关论文
共 15 条
[1]  
Bellos J., Inman D.J., A Survey on Nonproportional Damping, Shock Vib. Dig., 21, pp. 7-12, (1989)
[2]  
Bellos J., Inman D.J., Frequency Response of Nonpropor-tionally Damped, Lumped Parameter, Linear Dynamic Systems, ASME Journal of Vibration and Acoustics, 112, pp. 194-200, (1990)
[3]  
Hashin Z., Complex Moduli of Viscoelastic Composites—I. General Theory and Application to Particulate Composites, Inter. J. Solid Struc., 6, pp. 539-552, (1970)
[4]  
Hu B.-G., Dokainish M.A., Damped Vibrations of Laminated Composite Plates—Modelling and Finite Element Analysis, J. Finite Elements in Analysis and Design, (1993)
[5]  
James M.L., Smith G.M., Wolford J.C., Applied Numerical Methods for Digital Computation, (1985)
[6]  
Johnson C.D., Kienholz D.A., Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers, AIAA J., 20, pp. 1248-1290, (1982)
[7]  
Jones D.I.G., The Impulse Response Function of A Damped Single Degree of Freedom System, J. Sound Vib., 106, pp. 353-356, (1986)
[8]  
Lazan B.J., Energy Dissipation Mechanisms in Structures, with Particular Reference to Material Damping, Structural Damping, (1959)
[9]  
Nashif A.D., Jones D.I.G., Henderson J.P., Vibration Damping, (1985)
[10]  
Prater G., Singh R., Quantification of the Extent of Nonproportional Viscous Damping in Discrete Vibratory Systems, J. Sound Vib., 104, pp. 109-125, (1986)