Abstract
This paper is to propose an efficient method of three-dimensional dynamic analysis for multi-layered elastic systems with non-proportional damping. Since such problems have high degrees of freedom, computational efforts become enormous when a direct integration method is utilized. Ritz vectors are introduced to reduce a system of equations of motion, which is solved analytically with the use of eigenvalue analysis. It is confirmed that the system of equations with over 25000 degrees of freedom can be reduced drastically to the system of 10 equations without a loss of the accuracy. It also becomes apparent that the accuracy of sensitivity analysis can be improved with the increase in number of Ritz vectors.
