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我們将討論以下的方法,近似地求出梁的变形、剪力和弯矩。其方法如下。 1.有限差分法 2.松弛法 1.有限差分法特别是綫性差分方程愈来愈广泛地用于工程計算方面,有时也用来作为近似的微分方程,然而,更重要的是应用在冗长工程計算上,更显得方便。現用微差来代替微分数值求算梁的挠度,一般多用力法及虚功法計算挠度,运算较繁,每次計算只能求得一点的挠度数值。如果利用有限差分法,則可一次求出各点的挠度,图1所示为挠度曲綫。任意点的斜率,例如第3点,
We will discuss the following methods to approximate the beam’s deformation, shear, and bending moments. The method is as follows. 1. Finite difference method 2. Relaxation method 1. The finite difference method, especially the linear difference equation, is more and more widely used in engineering calculations, and is sometimes used as an approximate differential equation. However, more importantly, it is used in verbosity. Engineering calculations are even more convenient. The differential is used instead of the differential value to calculate the deflection of the beam. Generally, the deflection is calculated by the multi-force method and the virtual work method. The calculation is more complicated, and only one deflection value can be obtained for each calculation. If the finite difference method is used, the deflection at each point can be obtained at once, and the deflection curve is shown in FIG. 1 . The slope of any point, such as point 3,