摘要
为了探讨在动态激励作用下材料的局部力学行为,本文将改进的光滑粒子流体动力学方法(Smoothed Particle Hydrodynamics)应用于平面应力问题求解.引入速度、密度及应力修正项,对在简谐外部激励作用下的弹性悬臂梁运动及应力情况进行模拟.本文通过编写FORTRAN程序,计算了弹性悬臂梁的运动周期、运动幅值,并将悬臂梁自由端中点的位移情况与有限元计算结果进行了对比.此外,本文还对梁内典型位置处的正应力及密度变化情况进行显示跟踪.研究结果表明,本文采用的改进光滑粒子流体动力学方法不仅能够较为准确的模拟悬臂梁振动问题,且能持续显示跟踪各物质点的物理量,对结构强度的长期监测有一定的工程应用潜力与现实意义.
In order to investigate material’s local mechanical behavior, improved Smoothed Particle Hydrodynamics（SPH）method has been used to solve dynamic plane stress problems. Considering the correction of velocity, density and stress, SPH method has been used to simulate the movement and stress distributions of an elastic cantilever beam under simple harmonic excitation. FORTRAN programs have been developed to calculate the movement period and amplitude, and to compare with the FEM simulation results. Furthermore, the evolutions of normal stress and density at typical positions have been traced. Results showed that the improved SPH method can not only simulate the cantilever beam vibration problem accurately, but also trace the physical quantities of each material point in every single time step so that the structure strength can be detected, showing significant engineering application potential.
出处
《力学季刊》
CSCD
北大核心
2017年第4期765-771,共7页
Chinese Quarterly of Mechanics
基金
工业和信息化部海洋工程装备科研项目"水下工程安全作业仿真测试装备研制及关键技术研究"专项经费
关键词
光滑粒子流体动力学
悬臂梁
简谐激励
应力分析
smoothed particle hydrodynamics
cantilever beam
harmonic excitation
stress analysis
