Abstract
In this paper, an exact method for calculating stress in closely coiled helical springs of arbitrary cross section is developed, and the shape optimal design method shown in the previous paper is scrutinized for adequacy. In order to obtain exactly the optimal shape of the wire cross section which minimizes the weigit of a helical spring, stress analysis should be exact and the convergence to the optimum should be foolproof. Therefore, the exact theory of stress analysis is first developed. In this new theory, stress is obtained by solving the functional derived from the state equation of the curved beam by means of FEM. Then the adequacy of the optimum design method shown in the pervious paper is confirmed through investigation of a bar problem.
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