Judy M. Vance
James E. Bernard
Iowa State University
Department of Mechanical Engineering
Iowa Center for Emerging Manufacturing Technology
2078 Black Engineering Building
Iowa State University
Ames, IA 50011-2160
Finite Elements in Analysis and Design, Vol. 14, 1993, pp. 403 – 414.
Abstract
This paper concerns optimization of the design of large structures in which the solution to a finite-element-based vibration problem is part of the objective function. A method is presented where a spline-fit is used as an approximation of the eigenvalues and eigenvectors across a given design range. MSC/NASTRAN DMAP subroutines facilitate nonlinear sensitivity calculations which provide the eigenvalue and eigenvector derivatives used in the approximation. This paper presents an example that illustrates good approximations to frequency and mode shapes valid across a wide range of design changes. The method provides the potential for changing mode shapes interactively, and using that information as part of the optimization process.
