航空科学技术2025，Vol.36Issue(8)：20-26,7.DOI:10.19452/j.issn1007-5453.2025.08.003
基于假设模态法的压电柔性机翼几何非线性建模与主动控制
Geometrically Nonlinear Modeling and Active Control of Piezoelectric Flexible Wing Based on the Assumed Mode Method
摘要
Abstract
Lightweight flexible wings are highly susceptible to large deformations and vibrations under fluid forces.Therefore,studying nonlinear modeling methods and active control of lightweight flexible wings is essential for improving the overall performance and reliability of aircraft.Therefore,this paper develops a geometrically nonlinear dynamics model of flexible wing based on the Euler-Bernoulli beam theory and Lagrange's principle.Based on this,the piezoelectric constitutive relation of macro-fiber composites is introduced into the dynamic equation to establish the geometrically nonlinear continuous dynamic equations of the piezoelectric flexible wing.Furthermore,the assumed mode method is applied to discrete the continuous dynamics equations and establish the wing characteristic equations.Additionally,the first four natural frequencies of the flexible wing are compared with finite element software simulations,confirming the accuracy of the present model.Finally,based on the truncated modes dynamics model of the piezoelectric flexible wing,the effectiveness of the fuzzy adaptive proportiona-integral-derivative(PID)control strategy was validated.The results demonstrate that the proposed controller significantly suppresses structural vibrations under various disturbances,achieving reductions in harmonic and random disturbance vibration amplitudes by more than 95.2%and 79.54%,respectively.The research results can serve as a reference for reducing vibration in flexible wings,effectively minimizing wing fatigue damage and mitigating the potential risks associated with resonance.关键词
柔性机翼/非线性振动/假设模态法/宏纤维复合材料/主动控制Key words
flexible wing/nonlinear vibration/assumed mode method/macro-fiber composites/active control分类
航空航天引用本文复制引用
孙意诚,江涌,韩政轩,张顺琦..基于假设模态法的压电柔性机翼几何非线性建模与主动控制[J].航空科学技术,2025,36(8):20-26,7.基金项目
航空科学基金(2022Z0080S6001) Aeronautical Science Foundation of China(2022Z0080S6001) （2022Z0080S6001）
