周静南, 高金良. 用曲线拟合法求梁的变形[J]. 南昌航空大学学报(自然科学版), 2004, 18(2): 92-94.
引用本文: 周静南, 高金良. 用曲线拟合法求梁的变形[J]. 南昌航空大学学报(自然科学版), 2004, 18(2): 92-94.
ZHOU Jing-nan, GAO Jin-liang. Using Curve Fitting Method to Determine the Deflection of Beams[J]. Journal of nanchang hangkong university(Natural science edition), 2004, 18(2): 92-94.
Citation: ZHOU Jing-nan, GAO Jin-liang. Using Curve Fitting Method to Determine the Deflection of Beams[J]. Journal of nanchang hangkong university(Natural science edition), 2004, 18(2): 92-94.

用曲线拟合法求梁的变形

Using Curve Fitting Method to Determine the Deflection of Beams

  • 摘要: 采用光滑曲线对梁的挠曲线进行拟合,根据挠度各阶导数的性质和梁的边界条件、连续性条件计算拟合曲线的系数,其结果与积分法一致;这种方法具有明确的物理意义,不但适用于静定梁的变形计算,还适用于超静定梁的变形计算,且不必写出梁的弯矩方程.

     

    Abstract: The coefficient of fitting curve is the same whether it is calculated by the cumulative scoring or the deflection curve of beams with sleek curve and calculating according to the characteristics of deflection derivative and boundary conditions and the continuity conditions of beams.The later method is of great physical significance.It not only applies to the deformed calculation of both statically determinate beams and statically indeterminate beams,statically indeterminate beams but also needs no equation of bending moment.

     

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