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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 examplesdoi:10.1051/ijsmdo/2009004 fatcat:yppv7f4kh5hlvcvy5btuj7wriy