层合开孔板-柱壳节段模型及其结构振动特性分析  

Analysis on the Laminated Perforated Plate-Column Shell Segmental Model and Its Structural Vibration Characteristics

作　　者：张剑锋[1] 高芳清[1,2] 刘龙波 邓鹤轩 ZHANG Jian-feng;GAO Fang-qing;LIU Long-bo;DENG He-xuan(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,Sichuan,China;Key Laboratory of Applied Mechanics and Structural Safety of Sichuan Province,Southwest Jiaotong University,Chengdu 610031,Sichuan,China)

机构地区：[1]西南交通大学力学与航空航天学院,四川成都610031 [2]西南交通大学应用力学与结构安全四川省重点实验室,四川成都610031

出　　处：《机械研究与应用》2025年第1期56-60,共5页Mechanical Research & Application

摘　　要：复合材料层合板(壳)因其具有高比强度和高比刚度优势而在航空航天、船舶等领域中的应用越来越广泛,同时其结构的整体动力学性能也备受关注。文章以一类可应用于航空或船舶的整体式层合开口板-柱壳功能结构为研究对象,建立了能够求解任意开孔参数、耦合角度以及复杂边界条件下的节段分析模型。然后基于一阶剪切变形理论,采用改进傅里叶级数作为试函数,通过弹簧模型来模拟边界条件与相邻子结构的耦合关系,用Rayleigh-Ritz方法求解固有频率和模态。分析结果表明,所建立的层合板壳耦合结构模型可适用于各类复杂边界条件,且通过算例证明了该方法的准确性,可为类似的复杂层合板壳耦合结构的动力学分析与设计提供通用的模型基础。Due to the advantages of high specific strength and high specific stiffness,the composite laminates(shells)are increasingly used partially or even integrally in aerospace,marine and other structures,where the overall dynamics of the structure is of great concern.In this paper,considering a class of monolithic laminated open-ended plate-column-shell functional structures that can be applied to aerospace or shipbuilding,an analytical model capable of solving the section analysis under arbitrary opening parameters,coupling angles and complex boundary conditions is established.Based on the first-order shear deformation theory,the improved Fourier series is used as the trial function,the coupling relationship between the boundary conditions and the adjacent substructures is simulated by the spring model,and the Rayleigh-Ritz method is used to solve the intrinsic frequencies and modes.The analytical results show that the laminate-shell coupled structure model established by the method of this paper can be applied to all kinds of complex boundary conditions,and the accuracy of the method of this paper is proved by the arithmetic examples,which can provide a general model basis for the dynamic analysis and design of the similar complex laminate-shell coupled structures.

关 键 词：复合材料 板壳耦合结构 改进傅里叶级数 振动特性 层合板 

分 类 号：O327[理学—一般力学与力学基础]