Topology optimization considering body forces

Abstract

-In this paper, topology optimization problems with three types of body forces are considered: gravitational force, centrifugal force and inertia force. All these body forces are design dependent as they vary with the redistribution of materials during topology optimization process. In this study, a total mean compliance formulation is used to produce the stiffest structure under both external and body forces. Sensitivity analysis is carried out by the adjoint method. Finally, design examples are presented and compared to show the effects of body forces on the optimized results.

On Galileo’s Tallest Column

“…In any case else, the general formulation of the problem can be stated as to find out a shape with infinite size or height, proving in this way that our working hypothesis is false but being the shape of maximum scope determined. We think on this class of problems as good candidates for some topology or shape optimisation methods [22][23][24][25][26].…”

¿Existen problemas estructurales irresolubles? Una cuestión abierta

“…En función de p, la definición geométrica de esa catenaria insuperable (de rendimiento nulo) es [15]:…”

“…Como en el caso del cable no puede afirmarse nada respecto a la existencia de un tamaño insuperable: en todas ellas las tensiones principales crecen sin límite, aunque son útiles para tamaños pequeños (14,15).…”