CAJ | 학술논문

提出一种由线性连接元和非线性连接元组成的连接子结构，并将这种连接子结构用于自由界面的模态综合技术.利用非线性振动理论的平均方法，求得经模态综合法降维后系统方程的近似解析解.从而将具有连接子结构的自由界面的模态综合技术推广应用到具有局部非线性的复杂结构系统的动力分析，为利用非线性振动理论的平均方法及动力系统理论进一步研究高维非线性动力学系统的振动特性、分岔及混沌行为建立了新的途径.算例表明，该方法具有足够的精度.
제출일충유선성련접원화비선성련접원조성적련접자결구，병장저충련접자결구용우자유계면적모태종합기술.이용비선성진동이론적평균방법，구득경모태종합법강유후계통방정적근사해석해.종이장구유련접자결구적자유계면적모태종합기술추엄응용도구유국부비선성적복잡결구계통적동력분석，위이용비선성진동이론적평균방법급동력계통이론진일보연구고유비선성동역학계통적진동특성、분차급혼돈행위건립료신적도경.산례표명，해방법구유족구적정도.
A link substructure composed of a group of linear and nonlinear link units,can be used in the free interface modal synthesis technique to set up nonlinear vibration equations.Then the problem is reduced to less degrees of freedom to solve nonlinear equations by the modal synthesis method.To verify the successfulness of this method,an example is given.The approximate analytic solution of the low dimensional system has been obtained by KMB averaging method.Hence the free interface modal synthesis technique using link substructures is extended to the dynamic analysis of the structures with local non-linearity.This approximate method can also be used to study the bifurcation and chaos behavior of high dimensional systems with local nonlinear properties.The calculating example indicates that this method has enough precision.