摘要
Thenonlineardynamicalequationsofaxlesymmetryareestablishedbythemethodofquasi-shellsforthree-dimensionalshallowconicalsingle-layerlatticeshells.Thecompatibleequationsaregiveningeometricalnonlinearrange.AnonlineardifferentialequationcontainingthesecondandthethirdordernonlinearitemsisderivedundertheboundaryconditionsoffixedandclampededgesbythemethodofGalerkin.TheproblemofbifurcationisdiscussedbysolvingtheFloquetexponent.Inordertostudychaoticmotion,theequationsoffreeoscillationofakindofnonlineardynamicssystemaresolved.Thenanexactsolutiontononlinearfreeoscillationoftheshallowconicalsingle-layerlatticeshellisfoundaswell.ThecriticalconditionsofchaoticmotionareobtainedbysolvingMelnikovfunctions,somephaseplanesaredrawnbyusingdigitalsimulationprovingtheexistenceofchaoticmotion.
出版日期
2006年05月15日（中国期刊网平台首次上网日期，不代表论文的发表时间）
