111 サスペンション部品の非線形座屈現象に関する形状最適化の検討

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This paper presents a numerical solution to a non-parametric shape optimization problem for design of suspension arm which strength is given by reaction force to plastic buckling loaded by compulsory displacement. In the buckling phenomena, the geometrical non-linearity and material non-linearity are taken into account. Assuming monotonous loading, hyper-elastic theory is applied to the deformation of suspension arm. Mass and the reaction force integral to the buckling phenomena are chosen as an objective function and a constraint functions. The shape derivatives of these functions are evaluated by the shape optimization theory. Using the shape gradients, a numerical scheme based on a sequential quadratic approximation problem is employed for reshaping. In this scheme, the traction method is used to find the decent directions of the cost functions. The scheme is implemented by using a commercial shape optimization program in which the shape gradients are computed by a user program developed in this study using the result of non-linear FEM analysis by a commercial program. The numerical example for a suspension arm model shows the weight reduction of 12% while keeping the reaction force integral constant.
2010-12-09