旋转预扭梁振动特性理论与实验研究  

Theoretical and experimental study on the vibration characteristics of rotating pre-twisted beams

作　　者：熊星星 宿柱 马小虎 XIONG Xingxing;SU Zhu;MA Xiaohu(State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学航空航天结构力学及控制全国重点实验室,江苏南京210016

出　　处：《振动工程学报》2025年第2期232-241,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(12272165,51805250)。

摘　　要：针对工程中的旋转预扭梁振动问题,提出了一种有效的建模方法研究其振动特性,并设计了旋转实验验证理论研究的准确性。通过调节边界弹簧刚度模拟不同边界约束,采用修正傅里叶级数法对位移场进行展开,利用瑞利-里兹法推导旋转梁的运动方程。基于理论研究设计不同尺寸的旋转直梁和预扭梁的振动实验,将理论计算与有限元仿真、实验结果对比验证了本文方法的准确性,通过误差分析验证了存在弹性边界的可能。结果表明:转速和厚度增大使梁的固有频率增大;预扭角增大对1阶固有频率影响较小,可显著减小2阶固有频率。Aiming at the vibration problem of rotating pre-twisted beams in engineering,an effective modeling method is proposed to study their vibration characteristics.Rotating experiments are designed to verify the accuracy of theoretical research.By adjusting the boundary spring stiffness,different boundary conditions are simulated.The displacement field is expanded using the modified Fourier series method,and the motion equation of the rotating beam is derived using the Rayleigh-Litz method.Based on the theo-retical research,vibration tests of rotating straight beams and pre-twisted beams with different sizes are designed.The accuracy of this method is verified by comparing the theoretical calculations with finite element simulations and experimental results.The possi-bility of elastic boundaries is also verified through error analysis.The results show that the natural frequency of the beam increases with the increase in rotating speed and thickness.The increase in pre-twist angle has a minimal effect on the first-order natural fre-quency but significantly reduces the second-order natural frequency.

关 键 词：旋转梁 弹性约束 修正傅里叶级数 旋转实验 

分 类 号：O327[理学—一般力学与力学基础]