哈尔滨工程大学学报2025，Vol.46Issue(4)：787-796,10.DOI:10.11990/jheu.202303025
压电智能功能梯度材料圆柱壳自由振动的谱-切比雪夫解法
Spectral-Tchebychev method for free vibration analysis of the cylindrical shell of smart piezoelectric functionally gradient materials
摘要
Abstract
Aiming at piezoelectric smart structures,the existing vibration modeling method was limited by the struc-tural boundary conditions and the problem of high computational cost.Therefore,this paper focuses on the spectral-Tchebychev method to achieve accurate and fast modeling under general boundary conditions.Using the theoretical framework of the first-order shear deformation theory and the piezoelectric constitutive equation,the spectral-Tcheby-chev method,combined with the boundary spring technology,is adopted to establish a model for piezoelectric smart Functionally Graded Material cylindrical shell structures.The fast convergence of the solution and accuracy of the an-alytical model were verified by comparing the results with those derived from the finite element method,where the computational error was controlled to approximately 0.8%with a truncation number of 20.Therefore,the transforma-tion of the free vibration characteristics of the structure,considering materials,boundaries,and geometric dimen-sions,was obtained through parametric analysis.Therefore,this paper provides a set of fast and accurate modeling methods,along with valuable design insights,for the study of active vibration control in engineering shell structures.关键词
谱-切比雪夫法/压电结构/人工弹簧技术/功能梯度壳/功能梯度材料/一阶剪切变形理论/Hamilton原理/自由振动Key words
spectral-Tchebychev method/piezoelectric structure/artificial spring technique/functionally gradient shell/functionally gradient material/first-order shear deformation theory/Hamilton's principle/free vibration分类
机械制造引用本文复制引用
高先松,钟锐,王青山,刘新想,徐海良..压电智能功能梯度材料圆柱壳自由振动的谱-切比雪夫解法[J].哈尔滨工程大学学报,2025,46(4):787-796,10.基金项目
国家自然科学基金项目(52075554). （52075554）
