Abstract
The optimal design of a twenty-five bar space truss commonly involves multiple loading conditions acting on 4 node elements in the linear elastic model. In this paper, we describe the behavior of the truss system with our experimental loading conditions on five node elements subject to minimum displacement and stresses that are used to formulate the constrained nonlinear optimization problem. Numerical computations are developed with the objective of mass minimization and the best structural design is selected by applying the interior point method with the guidance of Matlab Optimization Toolbox. Our numerical results show the optimal values of cross-sectional areas, material densities, and internal forces which satisfy the minimum weight design. These results provide the appropriate mass to the experimental data and allow substantial changes in size, shape, and topology.
Highlights
IntroductionThe twenty-five bars space truss problem is typically characterized by their large numbers of design variables and constraints within allowable limits
It is difficult but not impossible to describe this truss system with all stresses and displacements for minimum weight, deflection and for the maximum fundamental natural frequency of vibration
We examine the case where the loading conditions are acting on five nodes elements in a linear elastic model in order to select the economical profile of the 25 bars space truss
Summary
The twenty-five bars space truss problem is typically characterized by their large numbers of design variables and constraints within allowable limits It is difficult but not impossible to describe this truss system with all stresses and displacements for minimum weight, deflection and for the maximum fundamental natural frequency of vibration. This structure has been optimized by many workers including Rajeev and Krishnamoorthy (1992), Wu and Chow (1995a, 1995b), Adeli and Park (1996), Erbatur et al (2000), Park and Sung (2002). We examine the case where the loading conditions are acting on five nodes elements in a linear elastic model in order to select the economical profile of the 25 bars space truss.
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