摘要
Anewalgorithmforsolvingthethree-dimensionalelasticcontactproblemwithfrictionispresented.Thealgorithmisanon-interiorsmoothingalgorithmbasedonanNCPfunction.Theparametricvariationalprincipleandparametricquadraticprogrammingmethodwereappliedtotheanalysisofthree-dimensionalfrictionalcontactproblem.Thesolutionofthecontactproblemwasfinallyreducedtoalinearcomplementarityproblem,whichwasreformulatedasasystemofnonsmoothequationsviaanNCP-function.Asmoothingapproximationtothenonsmoothequationswasgivenbytheaggregatefunction.ANewtonmethodwasusedtosolvetheresultingsmoothingnonlinearequations.Thealgorithmpresentediseasytounderstandandimplement.ThereliabilityandefficiencyofthisalgorithmaredemonstratedbothbythenumericalexperimentsofLCPinmathematicalwayandtheexamplesofcontactproblemsinmechanics.
出版日期
2004年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)