简介:Underinspirationfromthestructure-preservingpropertyofsymplecticdifferenceschemesforHamiltoniansystems,twohomogenizationconditionsforarepresentativeunitcelloftheperiodicalcompositesareproposed,oneconditionistheequivalenceofstrainenergy,andtheotheristhedeformationsimilarity.Basedonthesetwohomogenizationconditions,aneigenelementmethodispresented,whichischaracteristicofstructure-preservingproperty.Itfollowsfromthefrequencycomparisonsthattheeigenelementmethodismoreaccuratethanthestiffnessaveragemethodandthecomplianceaveragemethod.