Abstract
This paper is concerned with the optimal shape design of axisymmetric structures loaded symmetrically or nonsymmetrically. The objective is to make the tangential stress uniform along a part of the boundary to minimize the stress concentrations. The boundary of the structure is made of straight or circular segments defined by input data of master point coordinates and radius values. The design variables are easily deduced from the data. The analysis of the structure is performed by the finite element method using triangular (six nodes) or quadrilateral (eight nodes) isoparametric elements.
The concept of mobile or fixed substructures is used and associated to an automatic mesh generator. Several improvements in connection with the calculations of stress and stiffness matrix derivatives are proposed. An application of the program to the shape optimization of a part of a helicopter rotor demonstrates the efficiency of the process.
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© 1986 Plenum Press, New York
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Trompette, P., Marcelin, J.L., Lallemand, C. (1986). Optimal Shape Design of Axisymmetric Structures. In: Bennett, J.A., Botkin, M.E. (eds) The Optimum Shape. General Motors Research Laboratories Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9483-3_11
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DOI: https://doi.org/10.1007/978-1-4615-9483-3_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-9485-7
Online ISBN: 978-1-4615-9483-3
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