航空科学技术2024，Vol.35Issue(6)：63-70,8.DOI:10.19452/j.issn1007-5453.2024.06.008
一维立方非线性刚度周期结构色散特性研究
Study on Dispersion Characteristics of One-Dimensional Cubic Nonlinear Stiffness Periodic Structures
摘要
Abstract
The study of the dispersion characteristics of periodic structures formed by cubic nonlinear stiffness unit cell arrays,which has a certain promoting effect on the research of aircraft panel vibration control.Firstly,the dynamic model of one-dimensional linear stiffness periodic structure is constructed,and its dispersion equation is derived based on Bloch theory.Its dispersion characteristics and wave propagation are analyzed.Then the dynamic model of the periodic structure with cubic nonlinear stiffness unit cells is established,and the dispersion equation of the periodic structure is derived by using the perturbation approach.Finally,considering the complex working environment of aircraft panels and the limitation that the perturbation approach is only applicable to weak nonlinearity,the solution process of harmonic balance method for periodic structures with cubic nonlinear stiffness dispersion relation is given,and the solution results of the two methods are compared.This paper lays the foundation for further research on vibration control of aircraft wall panels using nonlinear periodic structures,and also contributes to the research on low-frequency damping of nonlinear phononic crystals.关键词
周期结构/色散特性/摄动法/谐波平衡法/非线性Key words
periodic structure/dispersion characteristics/perturbation approach/harmonic balance method/nonlinear分类
航空航天引用本文复制引用
左昂,徐艳龙,陈宁,张梦佳,谷迎松,杨智春..一维立方非线性刚度周期结构色散特性研究[J].航空科学技术,2024,35(6):63-70,8.基金项目
航空科学基金(20161553016) （20161553016）
广东省基础与应用基础研究基金(2022A1515011497) （2022A1515011497）
西安交通大学复杂服役环境重大装备结构强度与寿命全国重点实验室开放课题基金(SV2023-KF-19) Aeronautical Science Foundation of China(20161553016) （SV2023-KF-19）
Guangdong Basic and Applied Basic Research Foundation(2022A1515011497) （2022A1515011497）
Open Project of State Key Laboratory for Strength and Vibration of Mechanical Structures of Xi'an Jiaotong University(SV2023-KF-19) （SV2023-KF-19）
