复杂刀具的设计、制造和测量中,常常需要求渐开线函数的反函数值。常规的做法是反查渐开线函数表,或用迭代公式进行计算,但在实用中这两种方法都较麻烦。为此,作者运用曲线拟合原理,建立了一个高精度的渐开线函数的反函数值计算公式。其表达式如下: In the design, manufacture, and measurement of complex tools, the inverse function of the involute function is often required. The usual practice is to look up the involute function table, or to use iterative formulas to calculate, but in practice these two methods are more troublesome. To this end, the author uses the principle of curve fitting to establish a high-precision inverse function of the involute function. Its expression is as follows: