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- W10200364 abstract "This paper deals with the control of the von Mises stress at a boundary with homogeneous Neumann conditions. In order to solve this non-linear optimization problem in which the shape of the structural component must be treated as design variable, the variation of the objective and constraint functions with the change in shape is to be determined. Performing an accurate design sensitivity analysis is a difficult task because the shape does not appear explicitly in the formulation and because of the error associated with the approximation of the domain during discretization. The sensitivity analysis is done here using methods of theory of notches. The results will be applied to a FE-model of the structural component. The iterative method for changing the design based on this direction of search works efficiently even for a large number of design variables as shown in Schnack (1977a, 1978a, 1978b, 1979, 1980, 1982, 1983, 1985). Truncation and/or cancellation errors associated with numerical gradient computation are avoided. Using a dynamic programming formulation (Schnack and Spörl, 1986) the existence of a solution for this problem will be discussed. An example with this procedure is presented for a shaft in bending." @default.
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- W10200364 date "1989-06-01" @default.
- W10200364 modified "2023-09-25" @default.
- W10200364 title "Non-Linear Programming Applicable for the Control of Elastic Structures" @default.
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- W10200364 doi "https://doi.org/10.1016/s1474-6670(17)53563-6" @default.
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