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C型波纹管是一种重要的柔性连接和补偿元件。为了了解波纹管的动力学特性 ,基于 Novozhilov薄壳理论 ,用有限元法建立了 C型波纹管非轴对称自由振动的广义特征值问题。选取两结点非协调曲边旋转壳单元作为离散单元 ,解决了 C型波纹管因子午线曲率有突变而在求解上造成的困难 ,将所有相关变量沿其环向进行了 Fourier展开 ,得出了任意子午线形状的波纹管在任意环向谐波时的特征值 ,并对两种端部条件下的 C型波纹管进行了特征值分析
C-type bellows is an important flexible connection and compensation components. In order to understand the dynamic characteristics of corrugated pipe, a generalized eigenvalue problem of non-axisymmetric free vibration of C-type corrugated pipe was established by finite element method based on Novozhilov thin shell theory. The two-node non-coordinated curved-edge rotating shell element is selected as the discrete element to solve the difficulty in solving the sudden change of the radial curvature of the C-shaped corrugated tube due to the factorial radial curvature. All relevant variables are Fourier expanded along the circular direction, The eigenvalues of arbitrary radial corrugated tube with arbitrary circular harmonic are analyzed. The eigenvalues of the C-type corrugated tube with two end conditions are analyzed.