DESIGN SENSITIVITY ANALYSIS OF BEAMS UNDER NONLINEAR FORCED VIBRATIONS

A Computational method for design sensitivity analysis of an eigenvalue and an eigenvector of a beam under nonlinear forced vibration is presented in this paper. The nonlinear vibration problem is only analyzed once in the proposed method. The geometric nonlinearity of concern results from the large deflection of a beam. The finite element system equation for nonlinear vibration is symmetric. However, it is found that the equation for computing the design sensitivity of an eigenvector is linear and unsymmetric. A numerical example is included to validate the proposed computational procedure. © 1990 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.