固体冲击模拟的轴对称光滑粒子法  

Axisymmetric smoothed particle hydrodynamics method for solid impact simulation

作　　者：杨刚[1] 傅奕轲 胡德安[1] 

机构地区：[1]湖南大学机械与运载工程学院 汽车车身先进设计制造国家重点实验室,长沙410082

出　　处：《计算机辅助工程》2013年第6期84-89,共6页Computer Aided Engineering

基　　金：国家自然科学基金(11102065);高等学校博士学科点专项科研基金新教师类项目(20110161120038)

摘　　要：为提高光滑粒子(Smoothed Particle Hydrodynamics,SPH)法模拟轴对称固体冲击的计算效率,将三维模型简化到二维轴对称平面上;为避免在构造轴对称SPH法过程中对光滑函数进行环向积分,在传统SPH法的基础上通过直接离散的方式,利用导数关系式与SPH法的近似特性,构造在轴对称柱坐标系下具有对称形式的粒子近似方程组.以泰勒杆冲击为例,将该方法的计算结果与实验以及商业软件得到的结果进行对比分析,验证所构造的轴对称SPH法的可靠性和正确性.To improve the calculation efficiency of axisymmetric solid impact using Smoothed Particle Hydrodynamies（SPH） method, the 3D model is simplified to a 2D symmetric plane; to avoid the circumferential integration of smooth function during building axisymmetric SPH method, the approximate equations with symmetry form under axisymmetric cylindrical coordinates are built by the direct discretizaion based on the traditional SPH method and the approximate properties between the derivative relationship and the SPH method. The Taylor bar impact is taken as an example. The stability and precision of the new axisymmetric SPH method are verified by the numerical results which are compared with the experiment results and the results obtained by commercial software.

关 键 词：光滑粒子法 轴对称固体冲击 数值模拟 计算效率 泰勒杆冲击 

分 类 号：O347[理学—固体力学]