复合材料曲梁的能量辐射传递模型研究  

Energy radiation transfer model of composite curved beam

作　　者：余海宁 陈海波[1] 黄进安 YU Haining;CHEN Haibo;HUANG Jin’an(CAS Key Lab for Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230027,China)

机构地区：[1]中国科学院材料力学行为和设计重点实验室中国科学技术大学,合肥230027

出　　处：《振动与冲击》2023年第23期124-132,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(11772322);中国科学院战略性先导科技专项(B类)子课题(XDB22040502)。

摘　　要：将能量辐射传递法(radiative energy transfer method, RETM)推广应用于复合材料曲梁的分析中,用于预测曲梁的高频能量响应,获得横向点激励作用下曲梁高频振动的能量密度分布特征。首先基于欧拉-伯努利梁(classical beam theory, CBT)和铁木辛柯梁理论(Timoshenko beam theory, TBT)推导了曲梁的平衡微分方程,获得波的传播特性参数。通过与波传播法(wave propagation approach, WPA)计算得到的理论解进行对比,验证曲梁模型的正确性;通过对比CBT与TBT梁理论计算结果,得出转动惯量与剪切应力的影响主要在较高频段以及较大梁厚的情况下发生。讨论了曲率半径对曲梁高频振动响应的影响,曲率半径的影响主要是改变曲梁轴力以及曲梁的弯曲刚度进而影响曲梁的高频振动响应;不同碳纳米管(carbon nanotube, CNT)体积分数以及分布形式对碳纳米管增强复合材料(carbon nanotube reinforced composites, CNTRC)曲梁高频振动的影响。Here,the energy radiative transfer method(RETM)was extended and applied in analysis of composite curved beam to predict high-frequency energy response of curved beam,and obtain energy density distribution characteristics of curved beam’s high-frequency vibration under transverse point excitation.Firstly,based on classical beam theory(CBT)and Timoshenko beam theory(TBT),equilibrium differential equations of curved beam were derived to obtain wave propagation characteristic parameters.The correctness of the curved beam model was verified by comparing it to the theoretical solution obtained with wave propagation approach(WPA).By comparing the theoretical calculation results based on CBT and TBT,it was shown that effects of moment of inertia and shear stress mainly occur under conditions of higher frequencies and larger beam thickness.Effects of curvature radius on high-frequency vibration response of curved beam were discussed,it was shown that effects of curvature radius mainly are to change axial force and bending stiffness of curved beam,and then affect its high-frequency vibration response.Finally,effects of different volume fractions and distribution forms of carbon nanotube(CNT)on high-frequency vibration of carbon nanotube reinforced composite(CNTRC)curved beam were discussed.

关 键 词：复合材料曲梁 能量辐射传递法(RETM) 高频振动响应 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3