在有限元方法中首次引入了单元耦合形函数（阵），以此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了单元耦合形函数．在此基础上，根据Ｋａｎｅ方程，运用模态坐标压缩，并采用适当的线性化处理，得到了包含动力刚度项的线性动力学方程．针对矩形板编制了动力刚化有限元分析程序．仿真算例证明了理论和算法的正确性． In the finite element method, the unit coupled shape function (array) is introduced for the first time, so that the element elastic displacement is expressed as the second order small form of displacement of the element node. Using geometrically nonlinear strain-displacement relationships, the unit coupling shape functions are determined under small deformation assumptions. Based on this, according to the Kane equation, using the modal coordinate compression, and using appropriate linearization, a linear dynamic equation containing the dynamic stiffness term is obtained. A rigid rigid finite element analysis program was developed for rectangular plates. The simulation example demonstrates the correctness of the theory and algorithm.