The Topology Optimization Design Of Truss Structures Under Uncertainty

Truss structures have been widely used in fields of engineering machinery,bridge design,building structures et al,and play an increasingly important role in constructions.Many useful studies have been done on the problems of topology optimization of truss structures with different engineering and different constraints.In practical engineering application,Duo to the scatter and degradation of materials' performance,and the action of random loads,the deterministic topology optimization results may not satisfy the structural performance requirements and reliability.According to this,it is necessary to study the structural topology optimization based on reliability for truss structures.In this thesis,the main research includes:(1)The maximal stress of truss members,and deformation of nodes are analyzed by finite element methods under stochastic loads.(2)The physics of failure modeling for truss structure based on machine learning method such as Gaussian process regression is studied.(3)The topology optimization model of truss structure with reliability constraints is developed.