计算梁大挠度变形的数值积分法

Calculation on Large Deflection of Beam Bending Using Numerical Integral Method

采用数值积分法计算梁的大挠度变形,将经典解法的椭圆积分转变为有限个点的初等函数值求和运算.具有收敛快、精度高、易为工程技术人员掌握等优点,是对材料力学教学内容的丰富和补充.

Using numerical integral method, the deformation of large deflection bending of beam is calculated, by application of the transition from elliptic integral which resulted from the classic solving processes to the summing operation of elementary function on some limited integral points. The method has many advantages, such as the fast convergence, high calculating precision, simply programming for computer , and being easily mastered by engineers.