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.
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