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具有非线性部件的柴油机轴系,不能采用通常的临界转速下共振计算的方法,或代数方程组求解简谐激励下轴系响应的方法来计算扭振问题。本文介绍了用威尔逊θ逐步积分法求解非线性轴系振动的过程,并对轻12V180柴油机(具有分段线性部件)的试验台系统进行了计算,其结果与台架试验相当接近。文中还给出了柴油机轴系计算步长的选取值和轴段扭振附加应力的评定方法。以逐步积分法求解非线性轴系扭振问题是简便可行的,该方法同样可用来求解线性轴系的振动响应和轴段综合应力,并有可能免去先对柴油机干扰力矩进行简谐分析,再合成多个简谐响应的繁琐步骤。
For diesel engine shaft systems with non-linear components, it is not possible to calculate the torsional vibration problem by using the method of resonance calculation at the normal critical speed or by solving the shaft system response under the harmonic excitation using algebraic equations. In this paper, we introduce Wilson θ step-by-step integration method to solve nonlinear shaft vibration, and calculate the test-bed system of light 12V180 diesel engine with piecewise linear components. The result is very close to the bench test. The paper also gives the selection of calculation steps of diesel engine shaft system and the evaluation method of additional stress of torsional vibration of shaft section. It is simple and feasible to solve the nonlinear shaft torsional vibration problem by the method of step-by-step integration. The method can also be used to solve the vibration response of linear shaft system and the comprehensive stress of shaft section, and it is possible to avoid the simple harmonic analysis of the interference torque of diesel engine, Re-synthesis of multiple harmonic response tedious steps.