Engineering Transactions, 44, 3-4, pp. 361-373, 1996

Minimum Weight Design of Trusses Using Heuristic Rules

M. Pyrz
Ecole Universitaire D’Ingenieurs de Lille, Laboratoire de Mecanique de Lille, Lille

The minimum weight design of truss structures, composed of elements chosen from catalogues of available profiles, is presented in the paper. A controlled enumeration method is supplied with a knowledge module, containing the problem-oriented information, and represented symbolically. Heuristic rules, proposed on the basis of static analysis of the structure, are used to eliminate all "non-promising" propositions without numerical checking for feasibility. This approach leads to a great reduction (with respect to the "standard" enumeration) in the number of variants that have to be verified to find the global optimum. The application of knowledge-based enumeration is illustrated by numerical examples of standard truss optimisation problems for one or several loading conditions.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


W. GUTKOWSKI and J. BAUER [Eds.], Discrete structural optimisation, IUTAM Symposium Zakopane, Poland, 31.08-03.09.1993, Springer Verlag, 1994.

J. BAUER, A survey of methods for discrete optimum structural design, CAMES, 1, pp. 27-38, 1994.

J.S. ARORA, M.W. HUANG and C.C. HSIEH, Methods for optimisation of nonlinear problems with discrete variables. A review, Struct. Optim., 8, pp. 69-85, 1994.

P.B. THANEDAR and G.N. VANDERPLAATS, Survey of discrete optimisation for structural design, J. Struct. Engng., 121, 2, pp. 301-306, 1995.

M. BALACHANDRAN, Knowledge-based optimum design, [in:] Topics in Engineering, vol. 10, C.A. BREBBIA, J.J. CONNOR [Eds.], Computational Mechanics Publications, Southampton UK, Boston USA 1993.

M. KLEIBER [Ed.], Artificial intelligence in computational engineering, Ellis Horwood Limited, 1990.

M. BALACHANDRAN and J. GERO, Knowledge engineering and multicriteria optimization, [in:] Multicriteria Design Optimisation, Procedures and Applications, H. ESCHENAUER, J. KOSKI, A. OSYCZKA [Eds.], pp. 115-147, Springer Verlag, Berlin, Heideberg, New York 1990.

Z. IWANOW, An algorithm for finding an ordered sequence of a discrete linear Junc­tion, Control and Cybernetics, 19, 3-4, pp. 129-154, 1990.

C.L. DYM and R.E. LEVITT, Towards the integration of knowledge for engineering modeling and computation, Engng. with Computers, 7, pp. 209-224, 1991.

M. PYRZ, Symbolic computations approach in controlled enumeration methods ap­plied to discrete optimisation, [in:] Discrete Structural Optimisation, IUTAM Symposium Zakopane, Poland, 31.08-03.09.1993, W. GUTKOWSKI, J. BAUER [Eds.], pp. 221-227, Springer Verlag, 1994.

M. PYRZ, Knowledge-based discrete optimisation of truss structures, Engng. Trans., 47, 1-2, pp. 313-325, 1995.

E.J. HAUG and J.S. ARORA, Applied optimal design. Mechanical and structural systems, J. Wiley, New York 1979.

G.I.N. ROZVANY and M. ZHOU, New discretized optimality criteria method. State of the art, [in:] Discrete Structural Optimisation, IUTAM Symposium Zakopane, Poland, 31.08-03.09.1993, W. GUTKOWSKI, J. BAUER [Eds.], pp. 118-134, Springer Verlag, 1993.