A novel method for the spatial discretization of two-dimensional domains is derived and applied to the problem of free vibrations of singly curved shells. This new method utilizes a tensor product of two independent families of lines to discretize the geometry and kinematics of a surface. The first family consists of NURBS functions which are implemented in agreement with the isogeometric approach. The second family of lines is a carefully selected series which satisfies boundary conditions a priori. The present hybrid formulation unifies spatial discretization schemes of the semi-analytical Finite strip method and the Isogeometric analysis. The obtained method inherits many features of both of the underlying techniques, e.g., high continuity in both directions, decoupling of the governing equations, and exact initial geometry. Thorough numerical analysis shows that this novel method is well-suited for the efficient and accurate free vibration analysis of singly curved thin shells.

提出了一种二维域空间离散化的新方法，并将其应用于单曲壳自由振动的问题。这种新方法利用了两个独立的线族的张量积来离散化曲面的几何形状和运动学。第一个系列包括NURBS功能，这些功能是按照等几何方法实现的。第二类线是经过精心选择的系列，可以先验地满足边界条件。本混合公式统一了半分析有限条法和等几何分析的空间离散方案。所获得的方法继承了两种基础技术的许多特征，例如，在两个方向上的高度连续性，控制方程式的解耦以及精确的初始几何形状。全面的数值分析表明，该新方法非常适合于有效且准确地分析单弯曲薄壳的自由振动。