波纹管在任意载荷作用下的几何非线性分析

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

Geometrically nonlinear analysis for arbitrarily loaded bellows

Bellows is widely used as flexible joint and elastic element in such fields as petrochemicals and micro machines. This paper studies the asymmetrically geometric nonlinear problems for arbitrarily loaded bellows using the finite element method based on the thin shells theory of Sanders. The difficulty in analyzing bellows with abrupt change in meridional curvature is overcome by discretizing the bellows with curved elements of shells of revolution. All dependent variables, including the nonlinear terms, are expanded into Fourier series in the circumferential direction, with the nonlinear coupling terms treated as "pseudo loads" by appropriate trigonometric identities. These methods allow the nonlinear problems for arbitrarily loaded bellows with any meridian shape to be effectively and easily analyzed.