基于厚度预测与坐标映射的压力容器建模与仿真方法

Pressure vessel modeling and simulation method based on thickness prediction and coordinate mapping

  • 摘要: 针对压力容器封头变厚度、变缠绕角的特点,本文对比了单公式法、Knoell等式法等厚度预测方法,基于考虑一阶导函数连续的三次样条曲线预测了封头部位各缠绕层的轮廓曲线,结合缠绕角的计算方法,推导了在笛卡尔坐标系下容器上任一点的三维坐标矢量,实现了坐标映射方法。基于渐进损伤分析,开展了压力容器爆破强度的仿真预测,最终通过水压爆破试验验证了建模方法的准确性,进一步探讨了不同铺层方式对容器爆破压强的影响。结果表明,样条曲线对封头厚度的预测精度相对最高,建立的坐标映射方法可以准确地表征压力容器的缠绕角;水压爆破强度预测结果为38.25 MPa,试验平均结果为40.4 MPa,相对误差约为−5.3%,验证了本文建模方法的正确性;铺层方式对爆破强度没有明显影响,当纵/环缠厚度比约为1.2时,水压爆破强度最高。

     

    Abstract: Considering the characteristics of variable thickness and winding angles of pressure vessel dome, this paper compared different thickness prediction methods, including the single formula and Knoell equation method. Based on cubic spline curves that ensure the continuity of the first derivative, the profile of each winding layer at the dome were predicted. Combining the calculation method of winding angles, the three-dimensional coordinate vector of any point on the vessel in the Cartesian coordinate system was derived, achieving the coordinate mapping. Based on the progressive damage analysis, the simulation prediction of the burst strength of the pressure vessel was conducted. The accuracy of the modeling method was ultimately verified through hydrostatic burst tests. Furthermore, the effects of layer methods on the burst pressure of the vessel were investigated. The results indicate that the spline curve has the highest accuracy in predicting head thickness. The established coordinate mapping method can accurately represent the winding angles of the pressure vessel. The predicted hydrostatic burst strength is 38.25 MPa, and the average test result is 40.4 MPa, with a relative error of approximately −5.3%, verifying the correctness of the modeling method in this paper. The ply sequence has no significant effect on burst strength, and when the longitudinal/circumferential winding thickness ratio is about 1.2, the hydrostatic burst strength is the highest.

     

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