简介：Inthispaper,amathematicalmodelfortopologyoptimizationoftrussstructureswithconstraintsofdisplacementandsystemreliabilityundermultipleloadingcasesisconstructed.Inordertoavoidthedifficultyofcomputingthestructure’ssystemreliability,asolvingapproachispresentedinwhichthefailureprobabilityofsystemisdividedintothesumofallbars’failureprobabilitybymeansofreliabilitydistribution.Inaddition,bydrawingintothereliabilitysafetyfactorandthefundamen-talrelationshipinstructuralmechanics,allprobabilityconstraintsofdisplacementandstressareequiv-alentlydisplayedasconventionalformandlinearfunctionofthedesignvariables.Theoptimizationproblemwithmultipleconstraintsistreatedbythecompactconstrainttacticsandissolvedbytheim-provedsimplexmethod.Theexamplesshowthattheapproachproposedinthispaperisfeasibleandef-ficient.