热环境下纤维增强树脂复合薄壁圆柱壳的强迫振动响应  

Forced vibration responses of fiber reinforced resin composite thin cylindrical shell in thermal environment

作　　者：李晖[1,2] 吕海宇 李则霖 周娜 闻邦椿[1] LI Hui;LV Haiyu;LI Zelin;ZHOU Na;WEN Bangchun(School of Mechanical Engineering Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,沈阳110819

出　　处：《复合材料学报》2020年第2期382-389,共8页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金(51505070; 51535082; U1708257);中央高校基本科研业务费专项资金(N160313002; N160312001; N170302001; N180313006);国家留学基金委资助项目(201806085032);东北大学航空动力装备振动及控制教育部重点实验室研究基金(VCAME201603)

摘　　要：研究了热环境下纤维增强树脂复合薄壁圆柱壳强迫振动响应的理论求解方法。考虑了基础激励载荷的影响,并依托板壳理论、复弹性模量等方法,在确立了受热后材料与结构的本构关系、物理方程及能量方程基础上,建立了该类型纤维增强树脂复合薄壁圆柱壳在热环境下的理论模型。利用双向梁函数法表示振型函数,在引入比例阻尼的基础上,通过Ritz法和振型叠加法成功求解获得了频域振动响应。以TC300碳纤维/环氧树脂复合薄壁圆柱壳为研究对象,测试获得前3阶振动响应曲线。研究发现,相对于测试获得的前3阶共振响应结果,理论计算获得的共振响应误差最大不超过14.8%,验证了所提出的分析方法的正确性和有效性。The theoretical solving techniques of vibration responses of fiber reinforced resin composite thin cylindrical shell in thermal environment were studied. Considering the influences of base excitation load and thermal environment, a theoretical model of the shell with such kind of materials was established, where the constitutive relations, physical equations and energy equations of the materials and structures were determined based on the plate and shell theory, complex elastic modulus approach, etc. The vibration mode function was represented by the bidirectional beam function method, so that the frequency domain vibration response can be successfully solved by the Ritz method and the mode superposition approach with the proportional damping being introduced. A TC300 fiber/epoxy resin composite cylindrical shell was taken as a study object. The first 3 frequency response curves of the shell structure were measured. It has been found that compared with the first 3 resonant responses measured, the error of resonant responses obtained by theoretical calculation is less than 14.8%. Thus, the correctness and effectiveness of the analytical method proposed have been verified.

关 键 词：纤维增强 复合薄壁圆柱壳 强迫振动 频域响应 基础激励 

分 类 号：TB535[理学—物理]