Sensitivity Analysis Based Numerical Solutions Of Normal And Inverse Problems Of Elastic Bimodular Truss Structure

Elastic bimodular materials are often encountered in the engineering problems. These materials are widely used in the construction industry, machinofacture, aircraft manufacturing, shipbuilding, rockets, and other industries. It is generally difficult to achieve analytical solutions to this kind of problems; therefore, the study of the numerical solution technical has great theoretical values and practical engineering significance.Non-linear and non-smoothness of the stress and strain relationship are the major difficulties of the bimodular problems. Numerical calculations based on the finite element technology need for continual back-generation, and have a lower efficiency. In this paper, the truss structure which is widely applied in engineering is taken as the background. Constitutive relationship of elastic bimodular problems are handled via smooth function in order to overcome the non-smoothness of constitutive relationship of the material, and numerical models of solving the elastic bimodular one-dimensional continuum and trass structure are established. By utilizing the derived sensitivity formula and the Newton-Raphson algorithm, numerical solutions are obtained with higher computing accuracy and the convergent velocity.Based on the accurate solution of the normal problem, sensitivity algorithms with a high solution efficiency and intelligent algorithm which avoids deducing complex sensitivity analytical expression are used to solve the elastic bimodular properties of the inverse problems. The influence of parameters range and date noise to the recognition result is discussed, the results show that sensitivity algorithm and ant algorithm mentioned in this paper can solve inverse problems of elastic bimodular truss structure effectively, and have a better capability of anti-noise.Finally, sensitivity analysis derived in this paper and the full stress methods are combined to make a size optimization design for the elastic bimodular truss structure. The impact of the partial failure of the truss on the optimal design is considered, the organic combination of strength and stability make the optimal design results be more in line with practical engineering.