说明采用七自由度单元的有限元法进行矩形截面简支梁的弯翘分析，有很高的精度，可以代替繁琐的解析解。
The result shows seven-freedom unit finite element method has high precision to analyse simple beam of rectangular section, it can replace complex analytic solution.
建立了描述淬火钢圆形截面硬度分布曲线——U曲线的解析函数表达式。
An analytical function for describing hardness distribution in round section of quenched steel, known as U-curve, has been established.
首先对常见的工艺补充面截面线类型进行分析，建立数学解析模型并进行参数化设计，并且给出特殊问题的处理方法。
At first, the section curves of addendum is analysed, mathematic analytic models are established, the parametric design is finished and method to deal with especial questions is presented.
然后根据边界条件得出计算所讨论的阻抗圆柱体的雷达散射截面的解析表达式。
An analytic expression for the radar cross-section of an impedance cylinder coated with composite and anisotropic. chiral material is obtained by application of boundary conditions.
本文根据激光的目标等效反射截面的概念，提出计算从目标反射回来的激光波形的一般公式。推导出从漫反射的平板、球和圆柱目标反射回来的激光波形的解析表达式。
In this paper a general formula for calculating the laser waveshapes reflected from the targets is proposed on the basis of the idea on laser equivalent cross-section reflected from the targets.
本文给出了两组一元变截面不定常可压缩完全气体等熵流的解析解。
Two sets of analytical solutions of 1-d unsteady isentropic perfect gas flow with area change are given.
入口截面不消耗剪切功率，然后用上界定理与曲面积分方法首次得到了用余弦模拉拔方棒时变形力的解析解。
Then with the upper-bound theorem and the surface integral an analytical solution of the drawing stress was first obtained.
从理论上解析大倾角带式输送机物料横截面积的计算过程，并通过具体实例验证大倾角皮带机输送量的计算的合理性。
On the basis of the curve equation of the profilogram deduced exactly, this paper obtains an exact calculating method for the cross sectional area of gear.
从理论上解析大倾角带式输送机物料横截面积的计算过程，并通过具体实例验证大倾角皮带机输送量的计算的合理性。
On the basis of the curve equation of the profilogram deduced exactly, this paper obtains an exact calculating method for the cross sectional area of gear.
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