含初始变形的GPL增强多孔功能梯度梁的振动和热屈曲特性  

Vibration and Thermal Buckling Characteristics of GPL Reinforced Porous Functional Gradient Beams with Initial Deformation

作　　者：邓鹤轩 高芳清[1] 刘龙波 张剑锋[1] DENG Hexuan;GAO Fangqing;LIU Longbo;ZHANG Jianfeng(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学力学与航空航天学院,成都611756

出　　处：《噪声与振动控制》2025年第1期34-39,104,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(11872319)。

摘　　要：研究热环境下具有初始变形的石墨烯片(GPL)增强多孔功能梯度梁的振动和屈曲特性。考虑3种不同的孔隙分布模式和3种不同GPL散布类型,在高斯随机场分布条件下,确定孔隙率和GPL质量分数之间的关系,并根据Halpin-Tsai细观力学模型得到梁的材料参数的表达式。利用Hamilton原理,建立热环境下有初始变形的梁的控制方程,并利用微分求积法(DQM)进行数值求解。结果表明梁振动和屈曲特性不仅跟孔隙分布模式和GPL散布类型显著相关,还受到初始变形程度等诸多参数的影响。The vibration and buckling characteristics of graphene platelets(GPL)reinforced porous functional gradient beams with initial deformation under thermal environment were investigated.Three different pore distribution modes and three different GPL dispersion types were considered,and the relationship between porosity and GPL mass fraction was determined according to Gaussian random field distribution,and the expressions for the material parameters of the beams were obtained by applying Halpin-Tsai micromechanics model.Hamilton's principle was used to establish the governing equations of the beams with initial deformation under thermal environment,and differential quadrature method(DQM)was used to solve it numerically.The results show that the beam vibration and buckling characteristics are not only significantly related to the pore distribution pattern and the type of GPL dispersion,but also affected by some parameters such as the degree of initial deformation.

关 键 词：振动与波 初始变形 功能梯度梁 热屈曲 

分 类 号：O3[理学—力学]