基于新方法的点源出平面波动数值模拟程序与算例
首发时间:2012-02-29
摘要:概要介绍了点源出平面程序采用的显式计算方法,说明了程序的主要功能、输入输出参数和调用方法。计算了3种典型点源荷载与不同输入参数情况下的数值算例,并给出了相应计算结果。基于计算结果重点分析讨论了方法与程序的近源稳定性、精度以及相关问题。研究结果表明,在内域波动的数值稳定性条件△x≥Cs△t得到满足的前提下,本文的方法和程序具有以下几点不同于传统的特色:其一是,具有令人难以置信的近源稳定性;在虚拟边界极限接近点源荷载时,也能给出稳定的数值模拟结果。其二是,具有超强的阻尼稳定性;在超越常用工程阻尼比的变化范围内(0≤c≤0.5 ),均可以给出稳定的数值模拟结果。其三是,具有数值模拟的稳定性不受积分步长 影响,通过改变积分步长可以实现模拟超高频或超低频出平面波动的特点。其四是,具有内域和虚拟边界波动位移的数值模拟精度均达到3阶精度的特点。
关键词: 计算固体力学 新方法 出平面波动 数值模拟 稳定性 精度 优化透射边界
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Point Source out of Plane Wave Numerical SimulationProgram and Example Based on New Methods
Abstract:This paper outlined explicit calculation method used in the point source out of plane program, and illustrate main function,input and output parameters and call methods of program. The numerical example under three typical point source load and different input parameters are calculated, and give relevant calculation results. Near source stability, accuracy and relevant problems based on calculation results are discussed and analyzed. The research results show that under precondition of inner domain wave numerical stability condition △x≥Cs△t get satisfied ,this paper methods and program have several points are different from traditional feature: the first is that near source stability is incredible; while virtual boundary is extremely close to point source load, it can also give stable numerical simulation result. The second is that damping stability is outstanding; over the range of surpass commonly project damping(0≤c≤0.5), the stable numerical simulation result is also gave. The third is that the stability of numerical simulation is not influenced by integral step, through change integral step can achieve simulation ultrahigh frequency and ultralow frequency out of plane wave. The fourth is that numerical simulation accuracy of inner domain and virtual boundary wave displacement are all reach 3-order accuracy.
Keywords: computational solid mechanics new methods out of plane wave numerical simulation stability accuracy best-fitting transmitting boundary
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