A two-bar truss structural model under uncertainty: a uncertain chance constrained geometric programming (UCCGP) approach

In this paper a two-bar truss structural model under uncertainty is developed. Generally coefficients of two-bar truss structural model assume deterministic and precise parameters. However, the values observed for the parameters in real-world into a structural model often are imprecise and vague. Therefore, I have used coefficients are uncertain variables. Here assume the uncertain variables to have expected, variance, 2-ND moment and entropy based zigzag uncertainty distribution, respectively and show that the corresponding uncertain chance constraints two-bar truss structural model can be transformed into crisp problems to calculate the objective values. Geometric programming is one of the best optimization techniques for solving a variety of nonlinear optimization problems and engineering problems. A numerical example is given to illustrate the efficiency of the model through this approximation technique.