在阐述移动连接单元动力特性的基础上,提出了车桥时变系统振动分析中梁单元形函数所应满足的条件;导出了适合此系统振动分析的梁单元五次形函数,并通过算例分析了梁单元形函数的选取对此系统振动响应的影响。计算结果表明:选用三次形函数会导致梁单元结点处曲率的不连续,影响此系统振动响应的计算精度;选用五次形函数满足了移动连接单元对形函数的要求,获得更精确的计算结果。
Based on the study of moving-connecting-element,the defect of three-Hermitian interpolation function in dealing with dynamics finite element problems were analyzed,and a new type of interpolation function was proposed in this paper.Several illustration examples were presented to analyze the dynamic responses of different interpolation function.The result shows that: Stiffness matrix of this time-varying system which conduced by three-Hermitian interpolation function is discontinuous at the nodes of beam element,and the calculated dynamic responses may be effected.The new five-Hermitian interpolation function can ensured the continuity of stiffness matrix greatly,and more preciseness results would be obtained.