| Title |
SQP Method for Optimal Design of Trusses Subject to Miltiple Loading Conditions |
| Abstract |
The objective of this work is to present a formulation to slove structural optimization problems of trusses subject to multiple loading conditions. Basically this algorithm uses SQP method. Unfortunately the problem of optimizing structural problems such as the struction problems of optimizing the highrize buildings is very challenging. It leads to optimization problems with tens of thousands (or more) of nonlinear construtrains, which until recently have been out of the reach of nonlinear numerical optimization methods. Furthermore commonly-available conputers have not been powerful enough to warrant such an approach. This SQP method therefore, has to be modified to apply to structural optimization problems. I pursue a decomposition of the problem into the state space and the sizing space as follows: solve at each iteration the discrete equilibrium equations (Ku=P) for the state variables (u:displacemet) given values of the sizing variables (A:section area). Thus, I eliminate the state equations (equilibrium equation) from the equality constraint set, and I eliminate the state variables becomes and implicit funtion of the sizing variables, the dimension of the optimization problem can be greatly reduced. The examples demonstrate that the formulation presented in this study is very effective for finding optimal solution to minimize the weight of structures. |