Abstract
This lecture will summarize the results of several recent publications by Kanagasundaram & Karihaloo (1985, 1988, 1990), and Karihaloo & Kanagasundaram (1986, 1987, 1988a,b,c, 1989) on the minimum weight design of plane structural frames under multiple load systems. Each load system consists of external concentrated and distributed loads, couples, and self-weight. It is required that the normal and shear stresses, the maximum transverse deflection and the critical load factor in buckling not violate prescribed limits under any load system. In order to obtain designs which are practically feasible, the variation of the mass (stiffness) along the frame members is restricted to splines of order zero or one. Within these restricted classes of variation, the optimization problem reduces to a non-linear programming problem whose solution is attempted by several methods. Throughout this work, it has been assumed that the material is linear and elastic and that the engineering beam-column theory (e.g. Timoshenko & Gere, 1961) is applicable.
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Karihaloo, B.L., Kanagasundaram, S. (1993). Optimum Design of Plane Structural Frames by Non-Linear Programming. In: Rozvany, G.I.N. (eds) Optimization of Large Structural Systems. NATO ASI Series, vol 231. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9577-8_46
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DOI: https://doi.org/10.1007/978-94-010-9577-8_46
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