Topometry Optimization: A New Capability to Perform Element by Element Sizing Optimization of Structures

Abstract

*A new capability that allows finding the optimal distribution of sizing dimensions of elements in a given designable region is presented. The new capability allows performing sizing optimization on each element individually, whereas in traditional sizing it is performed by groups. Like topology optimization this capability allows finding the optimal location of void material but is not limited to that, as it can produce continuous variation of the geometric properties. Sizing optimization at the element level has been previously studied for special cases such as thickness distribution of plate elements and spring rates of elastics elements, what is new about this work is that the implementation is done for every type of element that is currently possible to size optimize in the GENESIS program. The implementation generalizes the sizing capabilities already available in the program and inherits most of its key efficiencies. The implementation has been done so that this new capability can be used simultaneously with shape, sizing and/or topography optimization.