EVALUATING TOPOLOGY DESIGN OF MATERIAL LAYOUT IN STEEL PLATE STRUCTURES WITH HIGH STIFFNESS AND EIGENFREQUENCY

determined by using a classical element-wise and the present node-wise topology optimization design methods for a dynamic problem. More specifically, the present article describes an application of a node-wise topology optimization technique to the problem of maximizing fundamental frequency for plane structure. The terms element-and node-wise indicate the use of element and node densities, respectively, as design parameters on a given design space. For a dynamic free vibration problem, the objective function in general is to achieve maximum eigenfrequency with first-order eigenmode subject to a given limited material, since structures with a high fundamental frequency have a tendency to be reasonably stiff. For both static and dynamic problems SIMP (Solid Isotropic Microstructure with Penalization for Intermediate Density) material artificially penalizing the relation between density and stiffness is used in this study, and an implemented optimization technique is the method of moving asymptotes usually used for topology optimization. Numerical applications topologically maximizing the first-order eigenfrequency and depending on element or node densities as design parameters and varied boundary conditions to verify the present optimization design method provide appropriate manufacturing information for optimally form-finding of steel materials with Poisson’s ratio of 0.3 into thin plates.