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膛内弹上气室非线性分段微分方程组的染色函数解法

Numerical Solution of Chromosome-function in Segment Nonlinear Differential Equations for the Chamber on the Projectile in Bore of a Gun

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【作者】 方清翟玉宝

【Author】 FANG Qing1,ZHAI Yu-bao2(1.College of Power Engineering,NUST,Nanjing 210094,China; 2.Shenzhen Academy of Vocational Education,Shenzhen 518039,China)

【机构】 南京理工大学动力工程学院深圳职业技术学院 南京210094广东深圳518039

【摘要】 利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组,进行了大量的数值试验,证实数值解是收敛的,也是稳定的.分段区域的存在导致数值计算精度下降,缩小数值计算的步长可以有效提高存在分段区域的数值计算精度,降低计算结果的波动区间,满足工程计算要求.在数值计算的初始段,数值解出现大幅跳动.

【Abstract】 The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.Numerical experiments were carried out.The differential equations are nonlinear and segmental.The astringency and stability in calculation was proved.The existence of segment region causes the decline of numerical precision.The increase of numerical precision and the decrease of numerical fluctuation rang follow the decrease of the maximal step in numerical calculation.In the incipient stage of calculation,the instability exists in numerical calculation.

  • 【文献出处】 弹道学报 ,Journal of Ballistics , 编辑部邮箱 ,2007年04期
  • 【分类号】TJ012.1
  • 【被引频次】2
  • 【下载频次】48
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