Based on the non-moment theory of a revolutionary thin shell ,the motion and elastic equa-tions of the arc-type flexible pipe are established .Combined with the precise integration method ,a method of calculating its axial mechanical impedance is derived .Through comparing its plotted me-chanical impedance curve with the straight flexible and the finite element results ,the results show that the proposed method is feasible and practicable ,which will provide a new idea for future study on the impedance characteristics of arc-type flexible pipe .%根据旋转薄壳的无矩理论 ,将弧形挠性接管当作旋转薄壳处理 ,建立了弧形管的运动方程和弹性方程 ,并结合精细积分法 ,推导出弧形挠性接管轴向机械阻抗的计算方法 ;给出了弧形管的阻抗曲线 ,比较了与直管阻抗曲线的变化趋势 ,并与有限元结果进行了对比分析 ,验证了其可行性 ,为深入研究弧形管的阻抗特性提供了一种新思路.
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