Layout optimization of disks by the use of rigid-plastic element model

• Autorzy: Kaliszky S. , Logo J.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the layout optimization of rigid-plastic disks is presented. The method is based on a model where a disk is subdivided into rectangular elements interconnected by normal and shear forces along their edges. Using this model statically admissible stress fields are constructed and the static theorem of limit analysis is applied. Following the concept of porous materials the design variables are the unknown densities of the elements with variable yield stress expressed in terms of the densities. Two complementary optimum design problems are presented. The load intensity is maximized at given intensity of the load and the total amount of material is minimized at prescribed amount of material, respectively. Both problems are expressed in the forms of nonlinear mathematical programming. The application is illustrated by two examples.

Słowa kluczowe

EN

rigid-plastic element; optimization

PL

sztywny plastyk; optymalizacja

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2002
• Tom: Vol. 9, No. 2
• Strony: 183--189
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Kaliszky S.

• Hungarian Academy of Sciences, Research Group for Computational Structural Mechanics, Muegyetem rkp. 3. K. m. f. 35, H-1521 Budapest, Hungary

autor

Logo J.

• Budapest University of Technology and Economics, Department of Structural Mechanics, Muegyetem rkp. 3. K. m. f. 35, H-1521 Budapest, Hungary

Bibliografia

• [1] M.P. Bendsoe. Optimization of Structural Topology, Shape and Material. Springer-Verlag, Berlin, Heidelberg, Wien, New York. 1995.
• [2] M.P. Bendsoe, C.A. Mota Soares. Topology Design of Structures. Kluwer, Dordrecht, 1991.
• [3] S. Kaliszky. Statically admissible stress fields in plane plastic problems. Bull. Acad. Polonaise Sci., XXVII(5/6): 51-55, 1979.
• [4] S. Kaliszky. Plasticity. Theory and Applications. Elsevier Science Publishers, Amsterdam, 1989.
• [5] S. Kaliszky, J. Lógó. Layout and shape optimization of elastoplastic disks with bounds on deformation and displacement. J. Mechanics of Structures and Machines, 2001 (submitted for publication).
• [6] I. Kaneko, G. Maier. Optimum design of plastic structures under displacement constraints. Computer Methods Applied Mechanics and Engineering, 27(3): 369-392, 1981.
• [7] R.V. Kohn, G. Strang. Optimal design and relaxation of variational problems. Comm. Pure Appl. Math., 36: 113-137, 139-182, 353-377, 1986.
• [8] G. Maier. Limit design in the absence of given layout. A finite element, zero-one programming approach. J. Struct. Mech., 1: 213-230, 1972.
• [9] G. Maier, J. Munro. Mathematical programming applications to engineering plastic analysis. Appl. Mech. Rev., 35(12): 1633-1643, 1982.
• [10] K. Maute, S. Swartz, E. Ramm. Adaptive topology optimization of elastoplastic structures. Structural Opti-mization, 15: 81-91, 1998.
• [11] N. Olhoff, M.P. Bendsoe, J. Rasmussen. On CAD-integrated structural topology and design optimization. Comp. Math. Appl. Mech. Eng., 89: 259-279, 1991.
• [12] G.I.N. Rozvany. Topology optimization in structural mechanics. CISM Cources and Lectures Notes 374. Springer-Verlag, Wien, New York, 1997.
• [13] G.I.N. Rozvany, M.P. Bendsoe, U. Kirsch. Layout optimization of structures. Appl. Mech. Rev., 48: 41-119, 1995.
• [14] K. Yuge, N. Kikuchi. Optimization of a frame structure subjected to a plastic deformation. Structural Optimization, 10: 197-208, 1995.
• [15] J. Zavelani, A. Rossi, G. Maier, L. Binda. Shape optimization of plastic structures by zero-one programming. In: Z. Mróz, A. Sawczuk, eds., Optimization in Structural Design. Proc. JUTAM Symposium. Warsaw 1973, pp. 541-554. Springer-Verlag, Berlin, 1975.