Influence of High Temperatures on the Structural optimization

摘要

An algorithm for optimizing of load-carrying structures is proposed. Load-bearing elements have heating of high level and different mechanical characteristics. The solution of this problem is based on the use of the optimality criterion method. The minimum pliability of the structure is used as an optimization criterion, provided that static equilibrium is maintained in the finite element formulation. To obtain a recurrent formula for finding the optimal values of the calculated parameters, the Lagrange multiplier method is used. Topological optimization is performed by excluding passive elements from the original most General structure. A contradiction is shown in the operation of the optimization algorithm for mechanical and thermal loads based on minimizing the potential energy of deformation. The optimization uses the concept of pseudo-elastic modulus of elasticity, which allows identifying problematic heated elements that require special optimization approaches. The criterion for applying the optimization algorithm is determined, which is related to the contradictions of solving the problem with simultaneous action of mechanical and thermal loads. A numerical analysis of typical examples is presented.