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为了深入探讨波纹管的力学特性 ,基于 Sanders非线性薄壳理论 ,用有限元法对其进行了非轴对称几何非线性分析。由于选取两结点非协调曲边旋转壳单元作为离散单元 ,解决了某些波纹管因子午线曲率有突变而在求解上造成的困难。同时由于将所有物理量 ,包括非线性耦合项 ,均沿环向进行了 Fourier展开 ,并通过适当的三角恒等式将非线性耦合项处理成“伪载荷”。因此能够方便有效地解决任意子午线形状的波纹管在任意载荷作用下的几何非线性问题
In order to investigate the mechanical properties of the corrugated tube, the non-axisymmetric geometric nonlinear analysis of the corrugated tube was carried out by the finite element method based on the Sanders nonlinear thin shell theory. Due to the selection of two nonconforming curved-shell rotating shell elements as discrete elements, the solution to some of the corrugated tube radial curvature mutations has been solved. At the same time, all the physical quantities, including the nonlinear coupling terms, are Fourier extended in the ring direction and the non-linear coupling terms are processed into “pseudo-loads” through appropriate trigonometric identities. Therefore, it can be convenient and effective to solve the geometric nonlinear problem of corrugated pipe with arbitrary meridian shape under any load