【作者】 韩明君； 王钢； 邱平； 王新志；

【Author】 Wang Gang Design Art Academy,Lanzhou Univercity,Lanzhou,730050 Han Mingjun Oiu Pin Wane Xinzhi College of science,Lanzhou University of Technology,Lanzhou,730050

【机构】 兰州理工大学理学院； 兰州理工大学土木工程学院；

【摘要】 用连续化方法建立了三向网格扁球面网壳的非线性静动态动力学方程和协调方程.在周边夹紧固定条件下,用修正迭代法求得静态解,用分离变量函数法给出扁球面网壳的横向动模态.由协调方程求出动张力,通过 Galerkin 作用得到了一个含二次、三次的非线性动力学微分方程.由一次项系数确定了扁球面网壳静动态频率; 由特征曲线图证实了静变形使频率增大.更多还原

【Abstract】 The nonlinear static-dynamic dynamical equations and compatible equations of the three-dimensional shallow spherical shells with circular bottom are established by using the method of continuum analogy,a nonlinear differential equation containing the second and the third order is derived under the boundary conditions of fixed edges. The static solution is solved by using the modified iteration method and the transverse dynamic mode of the shallow spherical reticulated shells is given by separating variables function method.The dynamic tension is solved from the compatible equations,a nonlinear dynamical differential equation containing the second and the third order is derived by using Galerkin method,the static-dynamic frequency of the shallow reticulated shells is conformed by the coefficient of the first item,the frequency becomes larger with the static distortion is conformed from the curve graph of characteristic.更多还原