Abstract
Spot welding is widely used for manufacturing sheet metal structures such as automobiles. This paper presents an optimization method for determining the welding positions. The spot welding is assumed to be movable in the in-plane direction of the sheet metal structure, or the tangential direction to the plate surface. The squared error norm of maximum principal stress around the spot welding is defined as the objective functional. The optimization problem is formulated as a distributed-parameter shape optimization problem, and the shape gradient function is derived for this problem using the material derivative method. The optimal position is determined by applying the shape gradient function derived to the H^1 gradient method. We confirm the proposed method is effective for designing the welding position of sheet metal structures through design examples.
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