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On the determination of optimal transition profile of a stepped bar in tension or in torsion by BEM
Authors:SY Ma  Lai Xinmin
Affiliation:

Department of Mechanical Engineering, Hebei University of Technology, Tianjin, People's Republic of China

Abstract:The objective is to have uniformly distributed tangential stresses on the transition profile of a stepped bar subjected to tensile and torsional loading using an axisymmetric boundary element formulation. The transition curve is represented by the Langragian interpolation polynomial with progressive degrees to avoid shape distortion during the optimization procedure. The calculated result is compared with that obtained by fluid dynamics given in the literature. It is seen that the transition curve obtained in this paper is reasonable.
Keywords:Shape optimization  axisymmetric boundary elements  bar in tension or in torsion  Lagrangian polynomial  progressive degrees
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