Continuum Structural Topology Optimization Design Based On Probability

Topological optimization of continuum structure based on probability is a new important task in the field of engineering research today. In this paper, the research of topology optimization under the static loads and structural dynamic characteristic topological optimization is individually presented. About the topology optimization under the static loads, the problem of topology optimization with stress constraints of plain elastic continuum structures under random loads are investigated, in which the structural parameters are random variables. In the model the topology variable is taken as design variable, minimum of structural mass as objective function. The corresponding solving method based on full stress method is proposed, the probabilistic stress constraints are transformed into equivalent normal constraints by using safety coefficient method based on reliability. The rationality of the model and the effectiveness of the method are illustrated by optimal results of examples; In the study of structural dynamic characteristic topological optimization, Dynamic characteristic topology optimization about continuum structure with random parameters is investigated based on frequency probability constraints. Basing on frequency probability constraints, the models of topology optimization about bending thin plate and plain stress thin plate are constructed. A new evolutionary optimal criterion is proposed based on evolutionary method. The rationality of the model and the effectiveness of the method are illustrated by optimal results of examples.