介绍了求变截面梁挠曲线方程的奇异函数法。
Singular function method is introduced to derive the deflection equations of beams of variable cross section.
《材料力学》中出现的弯矩方程、挠曲线近似微分方程、挠曲线方程的定义域不尽一致。
The definition domains of the moment equation, the approximate differential line of deflection equation and line of deflection equation in Material Mechanics are quite different.
本文将奇异函数与拉普拉斯变换方法相结合,用这种方法来计算阶梯梁的弯曲变形,可以方便地求得梁的挠曲线方程。
The singular function is combined with Laplace 's transformation to calculate the deflection of stepwise beam. In this way the deflection equation of the beam is conveniently determined.
结合双安全钳作用特点,以多跨度细长杆模型为基础,建立并求解了电梯导轨在复杂受力状态下的弯矩方程和挠曲线方程。
Based on the model of multi-span slender rod, the moment equations and deflection equations of elevator rail with duplex safety gear were established and resolved in a complex state of stress.
应用挠曲线近似微分方程,推导了线切割结构的载荷与位移关系,并给出了由于微分近似导致的误差。
The relation between load and displacement is deduced by approximately differential equation of flexural curve and the error resulted from this estimation is given out.
作为计算埋地管道变形和强度的重要基础,给出了弹性地基梁的挠曲线微分方程(位移方程)。
As a important basis of calculating the distortion and strength of the buried pipeline, the paper gives out the space curve differential equations of elastic foundation-beam (displacement equation).
对欧拉梁的大变形问题进行了深入研究,直接从欧拉梁的非线性挠曲线微分方程,推导出求解梁挠度的一种简便有效的积分表达式。
Large deformation problems of Euler beams are studied. An efficient integration formula for the deflection is deduced directly from the nonlinear differential equation.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程,并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程,并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
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