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发展了在环向只能处理连续变量的常规有限条法。分析在环向由若干个离散分布的支板和支架支承的发动机机匣回转壳。各离散支板和支架回转壳刚度的贡献,是通过支板和壳体连接处位移相等的变换,将各支板的刚度阵叠加到回转壳的总体刚度阵上实现的。同时证明了位移在环向的Fourier级数展开式中,只有n=0,n=1项对轴系的支承刚度有贡献。支板及支板附近的壳体的局部应力,是由局部子结构空间板壳有限元分析得到,该子结构的边界位移由整体的回转壳分析给出。算例表明,本文提出的方法能有效地计算轴系的支承动刚度和壳体的局部应力。
A general finite strip method that can handle only continuous variables in the toroidal direction has been developed. Analysis of the engine casing rotating shell supported by several discrete distributed brackets and brackets in the circumferential direction. The contribution of each discrete support and the shell’s rotational shell stiffness is achieved by equalizing the displacements of the support and shell connections by adding the stiffness stacks of the supports to the overall stiffness matrix of the shell. At the same time, it is proved that only n = 0 and n = 1 in the toroidal Fourier series expansion of the displacement contribute to the support stiffness of the shaft system. The local stress of the shell near the support plate and the support plate is obtained by the finite element analysis of the local sub-structure space plate shell. The boundary displacement of this substructure is given by the overall shell revolution analysis. The examples show that the method proposed in this paper can effectively calculate the bearing stiffness of the shaft system and the local stress of the shell.