2004 Volume 2004 Pages 20040017
This paper presents a numerical analysis method for boundary shape optimization problems involving moving the nodes of specified natural vibration mode shapes of linear elastic continua to assigned positions and describes the applicability of the method to chassis-like frame structures. Based on the theoretical investigation done in the previous work, problems of moving the nodes of natural vibration mode shapes are formulated as minimization problems of the square integrals of the specified natural vibration mode shapes on the assigned sub-boundaries to which it is desired to move the nodes. Reshaping is accomplished by the traction method that was proposed as a solution to boundary shape optimization problems of domains in which boundary value problems of partial differential equations are defined. With this method, problems of moving the nodes of the natural vibration mode shapes with first-order bending of chassis-like frame structures are solved. An investigation into the effect of the support conditions in modal analyses reveals the superiority of using a vertically free support condition.
