【摘要】 作大运动的空间桁架，由于运动和变形的耦合将产生动力刚化现象，传统的动力学理论难以计及这种影响。在有限元方法中首次引入单元耦合形函数（阵），将单元弹性位移表示成为单元结点位移的二阶小量形式。利用几何非线性的应变-位移关系式，在小变形假设条件下确定单元耦合形函数。根据Kane方程，运用模态坐标压缩，并通过适当的线性化处理，得到了一致线性化的动力学方程。编制空间精架外构动力刚化有限元分析程序。仿真算例证明理论和算法的正确性。更多还原

【Abstract】 Elastic bodies undergoing thehigh-speed and large overall motion can producedynamic stiffening due to the coupling betweenrigid motion and elastic deflection. Traditionaldynamics may hardly involve these terms. A newkind of element coupling shape function meatri-ces is used in finite element method,so that ele-ment elastic displacement is expressed as thesecond order small quantities of element nodedisplacement. The element coupling shape func-tion meatrices are derived by means of geometri-cally nonlinear strain displacement relation un-der small deformation assumption. The Kane’sequations and the modal coordinate reductionmethod are used to establish the consistent lin-earization dynamic equation. A finite elementanalysis program for spatial truss structureswith dynamic stiffening 1s developed. The validi-ty of the theories and algorithms presented inthis paper are verified by the numerical simula-tion sample.更多还原