内燃机轴系扭振响应的扭转弹性波计算方法研究

An Investigation on the Torsional Elastic Wave Theory for the Calculation of Crankshaft Torsional Vibration Response in I. C. Engines

以工程中常见的阶梯轴为研究对象，建立了连续轴模型中沿轴向传播的扭振弹性波的波动方程 组，结合方程组的初始条件和边界条件及波动方程解的行波表达式，导出了各轴段扭转弹性波传播的解 析表达式，利用数值迭代方法可求解；利用弹性波分析理论对船舶柴油机推进轴系的连续模型进行了扭 振响应计算的研究，在激励力上可同时计及各谐波的综合作用，可精确计算共振及非共振工况的强迫振 动响应，使计算过程与扭振实测分析过程完全对应。

In this paper,a stepped shaft is used as a basic model that is more popular in engineering practice. The partial differential equations of torsional wave propagating along the stepped shaft are set up. The initial conditions,boundary conditions and reflection,transmissions of elastic wave in varying cross-sections are considered. The wave solutions of motion equation are derived in order to determine dynamic response in cross- section of the shaft. Meanwhile,the torsional elastic wave propagation theory is applied for dynamic response investigation of continuous distribution model of shaft system in ship diesel engines. Every order exciting force can be considered in the meantime. Response of forcing vibration in resonance and non-resonance condition can be caculated exactly. The procedure of torsional vibration caculation and measurement is similar.