多参数稳定性理论与机械应用MULTIPARAMETER STABILITY THEORY WITH MECHANICAL

Thisbookdealswithfundamentalproblems,concepts,andmethodsofmultiparameterstabilitytheorywithapplicationsinmechanics.Itpresentsrecentachievementsandknowledgeofbifurcationtheory,sensitivityanalysisofstabilitycharacteristics,generalaspectsofnonconservativestabilityproblems,analysisofsingularitiesofboundariesforthestabilitydomains,stabilityanalysisofmultiparameterlinearperiodicsystems,andoptimizationofstructuresunderstabilityconstraints.Systemswithfinitedegreesoffreedomandwithcontinuousmodelsarebothconsidered.Thebookcombinesmathematicalfoundationwithinterestingclassicalandmodernmechanicalproblems.Anumberofmechanicalproblemsillustratinghowbifurcationsandsingularitieschangethebehaviorofsystemsandleadtonewphysicalphenomenaarediscussed.Amongtheseproblems,theauthorsconsidersystemsofrotatingbodies,tubesconveyingfluid,elasticcolumnsundertheactionofperiodicandfollowerforces,optimizationproblenTsforconservativesystems,etc.Themethodspresentedareconstructiveandeasytoimplementincomputerprograms.Thisbookisaddressedtograduatestudents,academics,researchers,andpractitionersinaerospace,naval,civil,andmechanicalengineering.Nospecialbackgroundisneeded;justabasicknowledgeofmathematicsandnTechanics.