【摘要】 本文成功地应用样条函数对环向加肋旋转壳自由振动问题进行了分析。导出了截面惯性主轴为任意方向的环梁空间变形与位移谐调关系公式。这一公式较之文献[1]所给公式更具一般性,从而使得对环向加肋一般形状旋转壳的有限元分析有可能实现。本文方法同采用埃尔米特插值的通常有限元法相比较,具有多项式次数低,自由度少而连续性强、计算速度快、内存小等优点。数字算例表明,计算结果是令人满意的。更多还原

【Abstract】 In this paper, an analysis is made of the free vibration of ring-stiffened shells-of-revolution using cubic B-spline. The relations between the space strain and displacement of ring-beam possessing arbitrary direction of principal axes of inertia of cross section are derived. These relations are more general than those in [1] and make it possible to analyze the ring-stiffened shells-of-revolution with FEM. Numerical examples show that the results are satisfactory.更多还原