倾斜三段分段二次半平面接触的封闭解
Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts
摘要：
一般的半平面接触问题，其中的几何形状是指定在一个分段二次意义上的三个部分在封闭的形式解决。这包括所施加的足以引起一个节段分离的力矩和所施加的足以或不足以引起滑动的剪切力的影响。为了扩大我们对燃气轮机风扇叶片燕尾根部特性的理解，将现有的解决方案扩展到非对称问题是必要的。在以前的研究中，对称接触经常被用来表示燕尾齿面接触。在不对称的情况下，与相应的对称情况相比，在接触边缘之一处的接触压力可以显著更高。利用本研究提供的解决方案的一般性，几个简单的压头问题进行了研究，利用代数操作器。Mathematica代码可供下载。
英文摘要：
A general half-plane contact problem in which the geometry is specified in a piecewise-quadratic sense over three segments is solved in closed form. This includes the effects of a moment applied sufficient to introduce separation of one segment and the application of a shearing force sufficient or insufficient to cause sliding. Extending existing solutions to asymmetrical problems is necessary in order to broaden our understanding of the behaviour of dovetail roots of gas turbine fan blades. In previous studies symmetrical contacts have often been used to represent a dovetail flank contact. In the asymmetrical case, the contact pressure may be considerably higher at one of the contact edges compared to the corresponding symmetrical case. Exploiting the generality provided with the solution presented in this study, several simpler indenter problems are investigated making use of an algebraic manipulator. The Mathematica code is made available for download.
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