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点插值无网格法在弹性力学中的应用 总被引:1,自引:0,他引:1
点插值法是一种新型的无网格法,它改善了其他无网格方法中形函数计算复杂、本质边界条件处理困难等问题.文中分析点插值法的计算原理,给出其在弹性问题中的应用,并与有限元法以及移动最小二乘法进行比较.结果表明,点插值法具有计算速度较快、精度较高以及本质边界处理相对简单等优点. 相似文献
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介绍了一种基于无网格思想的数值流形方法.用移动最小二乘法(MLS)构造插值函数,罚函数法处理位移边界条件,根据变分原理导出整体离散方程,最后用算例验证本文方法是可行的. 相似文献
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比较了有限元法与无网格法在金属成形应用中的优缺点,分析描述了无网格法在金属弹塑性变形、金属体积成形、板料成形等金属成形加工方面的应用现状,并阐述了无网格法的不足、亟待继续深入解决的问题以及未来的展望. 相似文献
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用局部Petrov-Galerkin方法求解几何非线性问题,这是一种真正的无网格方法。这种方法采用移动最小二乘近似函数作为试函数;只包含巾心在所考虑点处的规则局部区域上以及局部边界上的积分;所得系统矩阵是一个带状稀疏矩阵。该方法可以容易推广到求解非线性问题以及非均匀介质力学问题。在涉及几何非线性问题的数值方法中,通常都采用增量和迭代分析的方法。本文从虚功原理出发,用移动最小二乘近似函数的权函数替代虚位移,并在整个分析过程中所有变量的表达格式都是采用全拉格朗日格式。数值算例表明,无网格局部Petrov-Galerkin方法在求解几何非线性问题时仍具有很好的精度。 相似文献
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采用有限元法(FEM)与光滑质点流体动力学法(SPH)耦合算法,假设以圆锥作为磨粒的形状,以玻璃为工件材料,进行了单颗金刚石磨粒的三维磨削仿真。仿真结果表明:磨粒的挤压使工件材料向前方及两侧流动而产生隆起,且磨屑发生粉末化现象;沟槽的实际宽度远大于磨粒的切削宽度,断裂裂纹向沟槽两侧扩张,裂纹扩展一段后就停止不前而残留下来,成为残留裂纹。该方法可以较好地解决传统有限元法进行脆性材料磨削仿真时容易发生单元畸变的问题,验证了FEM与SPH耦合算法应用于脆性材料磨削仿真研究的可行性。 相似文献
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基于SPH/FEM方法,将数值模拟方法与贝克经验公式进行了比较;建立了机器人脚与土壤的相互作用模型,进行了机器人脚在土壤中的沉陷研究。结果表明,当机器人脚底部圆弧曲率半径R为16cm时,机器人脚的几何形状更为理想。 相似文献
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SPH方法在冲击破坏中的爆炸现象分析 总被引:1,自引:0,他引:1
由于SPH方法已被广泛应用到工程模拟的各个方面,虽然已有很大成功,但是还有很多的方面不成熟,其中之一就是爆炸现象,笔者对这种现象产生的原因进行了分析。 相似文献
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Wang Jianming Gao Na Gong Wenjun 《The International Journal of Advanced Manufacturing Technology》2010,50(1-4):227-234
Abrasive waterjet machining (AWJM) is a non-conventional process. The mechanism of material removing in AWJM for ductile materials and existing erosion models are reviewed in this paper. To overcome the difficulties of fluid–solid interaction and extra-large deformation problem using finite element method (FEM), the SPH-coupled FEM modeling for abrasive waterjet machining simulation is presented, in which the abrasive waterjet is modeled by SPH particles and the target material is modeled by FE. The two parts interact through contact algorithm. The creativity of this model is multi-materials SPH particles, which contain abrasive and water and mix together uniformly. To build the model, a randomized algorithm is proposed. The material model for the abrasive is first presented. Utilizing this model, abrasive waterjet penetrating the target materials with high velocity is simulated and the mechanism of erosion is depicted. The relationship between the depth of penetration and jet parameters, including water pressure and traverse speed, etc., are analyzed based on the simulation. The results agree with the experimental data well. It will be a benefit to understand the abrasive waterjet cutting mechanism and optimize the operating parameters. 相似文献
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Wang Jianming Liu Feihong Yu Feng Zhang Gang 《The International Journal of Advanced Manufacturing Technology》2011,56(5-8):571-578
Shot peening is a complex surface-treating process which is usually employed to improve the fatigue strength of metallic part or members. In dealing with shot peening simulation, existing literatures apply finite element method (FEM) to establish only a single shot or several shots models, thus the effect of a mass of shots impacting repeatedly and the interaction among adjacent shots are ignored. To overcome these defects of FEM models, smoothed particle hydrodynamics (SPH) coupled FEM modeling is presented, in which the shots are modeled by SPH particles and the target material is modeled by finite elements. Contact algorithm is used to simulate the interaction between shots and target. Utilizing this model, material model for shots is established, the relationships between compressive residual stress and peening frequencies, coverage, and velocities are analyzed. Steady compressive residual stress can be gotten by multiple peening; higher coverage can improve the compressive residual stress; faster velocities can induce greater and deeper maximum residual stress in target subsurface. The simulation results agree well with the existing experimental data. The study will not only provide a new powerful tool for the simulation of shot peening process, but also be benefit to optimize the operating parameters. 相似文献
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Yu Feng Wang Jianming Liu Feihong 《The International Journal of Advanced Manufacturing Technology》2012,59(1-4):193-200
The existing numerical simulations of hydrodynamic characteristics of abrasive waterjet in a cutting head were mainly based on Eulerian grid or arbitrary Lagrange–Eulerian grid method to establish computational fluid dynamics models. However, using these two methods, the abrasive and water were premixed and given an identical initial velocity, which were different from the mixing and acceleration processes of abrasive in the cutting head. This paper presents a more suitable numerical model that the abrasive particle enters into the mixing chamber in a low velocity and is accelerated in the focus tube by a high-speed waterjet from the orifice. In order to model this mixing-and-acceleration process of abrasive and high-speed waterjet, the smooth particle hydrodynamics (SPH) coupled finite element method (FEM) is adopted, in which SPH particles are used to model the high-speed waterjet to adapt its extremely large deformation and FEM is applied to model the discrete abrasive particle, cutting head, and workpiece. As a result, evolution of abrasive and waterjet velocities along focus tube is analyzed; trajectory of single abrasive particle in focus tube is sighted; the relationships between abrasive particle velocities and different water pressures are described; the rule of outlet velocities of abrasive particle vs. dimensionless ratio of diameter is conducted; depth of penetration caused by single abrasive particle impact is obtained. The current model is validated by the existing theoretical and experimental data. 相似文献