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打靶法在力法解超静定梁中的应用 被引量:2

The Shooting Method's Application in Solving Statically Indeterminate Beams
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摘要 叙述了打靶法的基本原理.打靶法是解微分方程的数值方法,其基本思想是将微分方程的边值问题转化为初值问题来求解,其特点是精度高,程序简单,实用性强.本文将打靶法与力法相结合用于解超静定梁,并给出了求解等截面、变截面超静定梁弯矩。 The shooting,method is a numerical method to solve differential equations,its fundamental thought is that the problems of boundary value of differential equation is transfered to problemes of initial value to solve.Its features are that the accuracy is high,the program is simple and the applied character is good.The fundamental of the shooting method and has been told,and being combined with the forcing method has been used to solve the statically indederminate beams.The paper has given the calculated examples in bending moments,deflections and rotating angles of the uniform beam and un-uniform beam as well as their diagrams.
出处 《河北工学院学报》 1994年第4期32-37,共6页 Journal of Hubei Polytechnic University
关键词 打靶法 微分方程 力法 超静定梁 挠曲线 数值解 Shooting method,Numerical method,Differential equations,Forcing method,Statically in determinate beams,Deflection curves.
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  • 1吴文海,周志刚,韩强,杨小凡.基于打靶法的战机攻击导引方法研究[J].飞机设计,2005,25(1):47-51. 被引量:1
  • 2朱江,汪萍.集合卡尔曼平滑和集合卡尔曼滤波在污染源反演中的应用[J].大气科学,2006,30(5):871-882. 被引量:35
  • 3徐自新,微分方程近似解,1990年
  • 4胡人礼,结构分析,1978年
  • 5严宗达,结构力学中的傅里叶级数解法,1989年
  • 6龙驭球,弹性地基梁的计算,1981年
  • 7凌复华,李继跃.1988.打靶法在常微分方程边界层型奇异摄动问题中的应用[J].应用数学和力学,9(7):60915.
  • 8Mendoza-Dominguez A, Russell A G. 2001. Estimation of emission adjustments from the application of four-dimensional data assimilation to photochemical air quality modeling [J]. Atmos. Environ., 35 (16): 2879-2894, doi: 10.1016/S 1352-2310(01)00084-X.
  • 9Ning Jiping, Han Qun, Chen Zhiqiang, et al. 2004. A powerful simple shooting method for designing multi-pumped fibre Raman amplifiers [Jr]. Chin. Phys. Lea., 21 (11): 2184-2187, doi:10.1088/0256-307X/21/11/030.
  • 10Tang Xiao, Zhu Jiang, Wang Zifa, et al. 2013. Inversion of CO emissions over Beijing and its surrounding areas with ensemble Kalman filter [J]. Atmos. Environ., 81 : 676686, doi: 10.1016/j.atmosenv.2013.08.051.

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