非均匀变截面多跨转轴临界转速分析

The Critical Speeds Analysis for A Multiple Span Nonuniform Rotating Axis

本文采用阶梯折算法[1],得到了非均匀变截面多跨转轴在任意边界条件下临界转速方程的解析表达式.它是一个超越代数方程,求解这个方程,便可以得到各阶临界转速.文中给出收敛性证明和算例.算例表明,用本文的方法计算临界转速可得到满意的结果.

The authors give an analytical calculating formula of critical speed formultiple span nonuniform rotating axis with variable diameters in arbitboundary conditions with step reduction method[1].This is the only necessaryway to solve a nonlinear algebraic equation.By solving this equation,onecan obtain arbitrary order critical speeds,and prove its convergence.Numerical examples are given at the end of the paper.They indicatesatisfactory results can be obtained by this method.