Topology optimization design of planar elastic continuum based on non-probabilistic reliability

Topology optimization design of interval planar continuum under interval loads is discussed. The topology optimization mathematical model with stress constraints of plain elastic continuum structures under interval loads is established. The topology model is constructed based on non-probabilistic reliability. The mass of this structure is studied as the research objects and the structures elements topological information are regarded as the design variables here. The computational expressions of numerical characteristics of stress responses based on interval factor method are deduced. Bi-directional evolutionary structural optimization method is used in the optimization. Two examples illustrate the feasibility and practicability of the optimal model and solving approach.