Structural Homology Design Using Equality Equations for Linear and Nonlinear Conditions

Abstract

The homology design concept was devised for application to the large telescope structure by S.V.Hoerner. He defined the deformation of a structure as homologous if a given geometrical relation holds for a given number of structural points before, during, and after the deformation. Some researchers have utilized the design theory on structural design with the finite element method. In the present study, a simple method using geometrical equality equations is suggested for performing the homology design. The previous methods are improved for the cost of making simultaneous equations. The homology design technique is expanded to designs for user-specified responses. The basic formulations of the homology design with the optimization concept are described and several practical examples are solved to verify usefulness and validity.