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薄壁管材等曲率矫直临界曲率半径作为重要的工艺参数,直接决定了设备结构和产品质量。而目前现场仍沿用经验图表结合人工经验和反复试矫对其进行估定,亟待建立针对性的力学模型以指导生产,为此从旋转壳体大挠度几何方程出发,基于J2形变理论和能量理论,运用里茨法建立了薄壁管材等曲率矫直塑性失稳时的临界弯矩,以此确定了临界曲率半径模型,并给出了数值解法。应用ANSYS/LS-DYNA进行了有限元动态仿真试验,结果表明模型是近似正确的,通过仿真对比分析证明了轴向起皱先于截面畸变是薄壁管材等曲率矫直塑性失稳的主要模态。
The critical curvature radius of curvature straightening, such as thin-wall pipe, is an important process parameter, which directly determines the structure of the equipment and product quality. At present, the experience is still used on the site with artificial experience and repeated trials to assess it. It is urgent to establish a targeted mechanical model to guide the production. For this reason, starting from the large deflection geometry of rotating shell, based on J2 deformation theory and energy theory , The critical moment of plasticity is established by using the Ritz method when the plastic pipe is straightened out, such as thin-walled pipe. The critical radius of curvature model is established and the numerical solution is given. Finite element dynamic simulation test is carried out with ANSYS / LS-DYNA. The results show that the model is approximately correct. The simulation analysis shows that the axial wrinkling before section distortion is the main mode state.