An optimization procedure for truss structures with discrete design variables and dynamic constraints

An optimization procedure is presented for the minimum weight optimization with discrete design variables for truss structures subjected to constraint s on stresses, natural frequencies and frequency responses. The optimizatio n procedure consists of two steps. The first step is to find a feasible bas ic point through defining a global normalized constraint function and using a difference quotient method. The second step is to determine the discrete values of the design variables by analyzing the difference quotient at the feasible basic point and by converting the structural dynamic optimization process into a linear zero-one programming. A binary number combinatorial algorithm is employed to perform the zero-one programming. Examples of disc rete optimum truss design are presented to demonstrate the feasibility of t he optimization procedure. (C) 2000 Elsevier Science Ltd. All rights reserv ed.