连续分布轴系扭/弯耦合振动的自由振动研究

本文建立了连续分布轴系扭转振动和弯曲振动耦合的模型和数学表达式 ,对轴系扭 /弯耦合的自由振动求得了解析解 .并对仅考虑轴系自重情况下的简支轴系扭 /弯耦合振动进行了求解 ,通过实验研究验证了理论计算结果 .发现了耦合频率与非耦合情况下的扭振和弯曲振动固有频率的对应关系 ,这对于轴系复杂振动形式的研究和分析提供了理论依据

Study on the Torsion-and-Flexure-Coupled Free Vibration of continuous Shaft

This paper establishes the modal and the partial differential equations of the torsion and flexure coupled vibration on the continuous shaft. THe solution of torsion and flexure coupled free vibration is obtained. The analysis for the free coupled vibration of a copper shaft with constant sections is performed, only considering the weight of itself. The result shows that the natural frequency of the coupled torsional and flexural vibration is correlated to that of uncoupled torsional and flexural vibration.