基于改进光滑粒子流体动力学方法的弹塑性结构入水问题研究

STUDY ON WATER ENTRY OF ELASTIC-PLASTIC STRUCTURES BASED ON IMPROVED SMOOTHED PARTICLE HYDRODYNAMICS METHOD

  • 摘要: 弹塑性结构入水的冲击动力响应对结构安全性设计和运动稳定性评价至关重要,但目前针对弹塑性结构入水时的弹塑性变形、气垫效应和三维效应的研究仍不足。光滑粒子流体动力学(smoothed particle hydrodynamics, SPH)方法以其无网格、拉格朗日的特性在此类流固耦合模拟问题中具有独特优势。因此,该文开展了弹塑性楔形体冲击入水问题的SPH数值模拟研究。基于改进的弹塑性结构流固耦合SPH模型和流固黎曼接触算法,研究了二维固-液两相弹塑性楔形体入水问题,分析了入水速度、弹性模量和屈服应力对结构受力、挠度、屈服部位分布等动力响应的影响。基于加入空气模型的SPH改进方法,研究了二维气-固-液三相弹塑性楔形体入水问题,分析了气垫效应对于弹塑性楔形体响应的影响。基于GPU并行技术,研究了三维弹塑性楔形体入水问题,分析了三维效应的影响。研究结果表明:相较于弹性楔形体入水,弹塑性楔形体受到的砰击力峰值有所降低,且砰击力峰值与入水速度和弹性模量之间表现出更加复杂的关系。空气垫体积与砰击力缓冲程度正相关,当入水速度小于一定值或楔形体底升角大于一定值时空气影响可忽略。三维效应能够显著降低结构砰击力,其峰值约为二维的74.9%。

     

    Abstract: It is very important to study the dynamic response of elastic-plastic structures when it enters the water for structural safety design and stability evaluation. However, there is still insufficient research on elastic-plastic deformation, cushion effect, and three-dimensional effect when the structure enters into water. The Smoothed Particle Hydrodynamics (SPH) method has unique advantages in dealing with this problem because of its meshless and Lagrangian properties. Therefore, the water entry of the elastic-plastic structure based on the SPH method is studied. Based on the improved fluid and elastic-plastic structure coupling SPH model and the Riemann contact algorithm, the water entry of the two-dimensional elastic-plastic wedge with solid-liquid coupling is studied, and the effects of velocity, elastic modulus, and yield stress on the dynamic responses of the wedge such as slamming force, deflection, and yield location distribution are analyzed. Based on the improved SPH method with the addition of the air model, the gas-solid-liquid coupling water entry of the two-dimensional elastic-plastic wedge is studied, and the influence of air cushion effect on the response of the wedge is analyzed. Based on GPU parallel technology, the three-dimensional water entry of the elastic-plastic wedge is studied, and the influence of three-dimensional effect is analyzed. The results show that, compared with the elastic wedge, the peak value of the slamming force on the elastic-plastic wedge is reduced, and the relationship between the peak value of the slamming force and the velocity and the elastic modulus is more complex. There is a positive correlation between the volume of air cushion and the buffering. When the water entry velocity is less than or the deadrise of the wedge is greater than a certain value, the effect of air can be ignored. The three-dimensional effect can significantly reduce the slamming force, and its peak value is about 74.9% of that of two-dimensional results.

     

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