Structural Optimization Scheme by Transfer Matrix Method Based upon Biological Growth Process

Abstract

Shape determination based on optimization methods is attracting attention in designing of structures. Optimization methods can be classified into size optimization, shape optimization, and topology optimization. In these methods, the design domain is limited in advance and the degree of design freedom is limited. Conversely, biological growth is an example of optimization in nature. An organism repeatedly develops their structure by optimization in response to the environment. In this study, we propose a new optimization method based on biological growth process using the transfer matrix method. In addition, the method will be verified by comparing with the results of several analyses of the plane cantilever design problem.