【摘要】 直接从三维弹性力学微分方程出发，依据三维的Kelvin解，应用最小二乘法建立了三维虚边界元法解薄壳问题的一般方法。本方法的显著优点是：不论求解何种壳体问题，方法的思想是不变的，均以三维的Kelvin解来建立方程，而勿需对不同几何形状的壳体采用不同的基本解。文中给出了数值算例，以作为本方法的应用。本文方法与边界元直接法相比，优点在于无需处理奇异积分，且系数阵是对称的；再者，本文方法思想简单，程序实现容易。更多还原

【Abstract】 Proceeded from the differential equation of three-dimension theory of elastici ty, a numerical method is presented to solve the problems of thin shells wit h three-dimension virtual boundary element, in accordance with the Kelvin basic solution of three-dimension theory of elasticity and the least squares methods . Outstanding advantage of this method is that the idea of the method is no chan ge, no matter which one of thin shells computed, however, different basic soluti on is not used for solving the problems of thin shells with different geometry. In this paper, a numerical example of shallow thin-shell is computed by this me thod for the aplication. Comparing with the direct formulation is avoided, and t he coefficient matrix is a symmetrical one. In addition, the method is simple in ideas, and working out the programme is easy.更多还原