Michell cantilevers constructed within trapezoidal domains—Part III: force fields

Structural and Multidisciplinary Optimization - Tập 33 - Trang 1-19 - 2006
C. Graczykowski1, T. Lewiński2
1Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland
2Faculty of Civil Engineering, Institute of Structural Mechanics, Warsaw University of Technology, Warsaw, Poland

Tóm tắt

This paper complements the analysis of geometric properties of the Hencky nets within the Michell cantilevers constructed in the trapezoidal domains by providing the analytical formulae for the force fields. The force field analysis introduces a new division of the cantilever domain and enables an alternative method for computing the optimal weights.

Tài liệu tham khảo

Chan HSY (1967) Half-plane slip-line fields and Michell structures. Q J Mech Appl Math 20:453–469

Graczykowski C, Lewiński T (2006a) Michell cantilevers constructed within trapezoidal domains—Part I: geometry of Hencky nets. Struct Multidisc Optim (in press)

Graczykowski C, Lewiński T (2006b) Michell cantilevers constructed within trapezoidal domains—Part II: virtual displacement fields. Struct Multidisc Optim (in press)

Hemp WS (1973) Optimum structures. Clarendon, Oxford

Lewiński T, Zhou M, Rozvany GIN (1994a) Extended exact solutions for least-weight truss layouts. Part I: cantilever with a horizontal axis of symmetry. Int J Mech Sci 36:375–398

Lewiński T, Zhou M, Rozvany GIN (1994b) Extended exact solutions for least-weight truss layouts. Part II: unsymmetric cantilevers. Int J Mech Sci 36:399–419

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Structural and Multidisciplinary Optimization

Tập 33

1-19

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