对冷弯型钢的纵向变形过程进行了力学分析，得到了变形微分方程，求得了转动角的理论公式，并对其变形形状进行了分析计。
Through the mechanical analysis, the differential equation for the longitudinal deformation of cold forming steel is derived, and the formula for longitudinal rotation Angle is obtained.
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).
本文通过建立轨道振动微分方程，得到单轮作用下轨道变形的解析表达式。
The analytical formula of track deformation under a single wheel load has been deduced by establishing the track vibration differential equation.
从而推广了材料力学中扭转变形时的平衡微分方程。
Then, the equilibrium differential equations for the twist deformation topic in the mechaniCS of material are extended.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
结果表明：本文提出的控制微分方程的加权残值法解是成功的；而且圆柱壳的剪变形理论有满意的精度。
The results show that the solution of differential equations' MWR is successful, and the precision of the shear deformation theory of cylindrical shells is satisfactory.
本文首先建立楔形梁包含轴力和剪切变形效应的平衡微分方程。
In this paper, the equilibrium differential equation including the effects of constant axial force and shear deformation was established for tapered beams.
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.
在小变形情况下，运用伽辽金方法，可将偏微分方程转换为线性常微分方程组进行求解。
A set of linear ordinary differential equations in the case of sm all deflections is determined by application of the Galerkin's method.
首先列出了描述生长变形体能量平衡的微分方程以及熵不等式；
Firstly, the differential equations for describing the energy equilibrium of growing deformable body and the entropy inequality were discussed briefly.
在弹塑性大变形分析中，控制微分方程的分叉现象予示了一系列有实际工程背景的破坏机理。
In the elastoplastic analysis, much more attention has been paid to bifurcation behaviour of the governing equation which always predicts various mechanism of failure or fracture.
本文考虑悬吊结构周边变形的影响，推导出了悬索桥扭转的基本微分方程。
The effects of the transverse distorsion of suspended structures are considered in this paper, and fundamental differential equation of torsion for suspension bridges is derived.
采用微分方程的解析解法和数值解法相结合的思路建立了中厚板热轧过程温度场、变形场和轧制力的综合求解模型。
A combined analytic and numerical method for predicting the temperature, deformation and rolling pressure for plate hot rolling was established.
通过建立轨道振动微分方程，得到了单轮作用下轨道变形的解析表达式。
Analytical formula of track deformation under a single wheel load was derived by establishing the differential equation of track vibration.
利用变形边界函数法与上下解方法，研究了一类具非线性边界条件的半线性时滞微分方程边值问题，得到了此边值问题解的存在性的充分条件。
The asymptotic behavior for a class of higher-order delay partial differential equations be investigated in this paper, some asymptotic behavior be established, which expanded some references.
利用变形边界函数法与上下解方法，研究了一类具非线性边界条件的半线性时滞微分方程边值问题，得到了此边值问题解的存在性的充分条件。
The asymptotic behavior for a class of higher-order delay partial differential equations be investigated in this paper, some asymptotic behavior be established, which expanded some references.
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