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利用特殊函数公式，得到第一类全椭园积分在ρ→１时的近似展开，然后将近似展开式应用于屈曲杆问题，得到求解屈曲杆最大挠度的近似计算公式，该公式优于已有的求屈曲杆最大挠度的近似公式。
By using the special function formula, the approximate expansion of the first kind of total elliptic integral at ρ → 1 is obtained, and then the approximate expansion formula is applied to the bending rod problem to get the approximate calculation formula for solving the maximum deflection of the bending rod. The approximate formula of maximum deflection of the flexion bar.