Extreme structural response analysis of truss structures under material uncertainty via linear mixed 0-1 programming

摘要: This paper concerns the extreme structural response analysis of truss structures taking possible uncertainties Young's moduli bars into consideration. The uncertainty modulus is described by a non-probability but bounded interval model. With use this uncertain model, it shown that responses such as nodal displacement and bar stress will attain their values when take either upper or lower bound value. Based on conclusion simultaneous design formulation, linear mixed 0-1 programming problem can be constructed to find well-established branch-and-bound approach with global optimality. proposed applied several test problems for demonstration its validity.