摘要
应用谱几何法研究了热环境下功能梯度圆柱壳自由振动和瞬态振动特性。采用边界弹簧技术模拟圆柱壳结构的任意经典或者弹性边界约束条件,并结合一阶剪切变形理论建立了考虑温度场作用的功能梯度圆柱壳结构能量泛函。采用谱几何法与周向傅里叶谐波函数乘积和的形式描述圆柱壳的位移容许函数,以克服不同边界条件下壳体位移函数微分在边界上存在的不连续问题。在此基础上,将位移容许函数代入至结构能量泛函,并采用Ritz法获得结构振动分析模型。数值分析结果表明,所构建分析模型能够快速准确预测功能梯度圆柱壳结构的振动特性。研究了幂律指数、温度、载荷等参数对功能梯度圆柱壳振动特性的影响规律,为其他数值分析方法研究提供参考。
The spectro-geometric method is utilized to investigate the free and transient vibration characteristics of the functionally graded(FG)cylindrical shell under thermal environment.The boundary restraining spring technology is employed to simulate the arbitrary classical or elastic boundary support of the shell structure.The energy functional of FG cylindrical shell under thermal en⁃vironment is established with the first-order shear shell theory.The displacement admissible functions of the cylindrical shell are characterized by the spectro-geometric method and circumferential Fourier harmonic function product sum to overcome the disconti⁃nuity problem of the shell boundary displacement function differential along the boundary edge of the shell structure.By substituting the displacement admissible function into the cylindrical shell energy functional,the Ritz approach is employed to construct the vi⁃bration analysis model.The numerical analysis results show that the current model can predict the vibration characteristics of FG cylindrical shells with high precision.The influence of power law exponents,thermal environment and load parameters on the vibra⁃tion characteristics of FG cylindrical shells is studied.The new results presented in this study can be utilized as benchmark solution for other numerical method development.
作者
石先杰
左朋
SHI Xian-jie;ZUO Peng(Institute of Systems Engineering,China Academy of Engineering Physics,Mianyang 621999,China;Department of Modern Mechanics,University of Science and Technology of China,Hefei 230026,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2023年第2期526-533,共8页
Journal of Vibration Engineering
基金
国家自然科学基金面上项目(51975547)
中国工程物理研究院院长基金资助项目(YZJJLX2018008)。
关键词
自由振动
功能梯度圆柱壳
热环境
谱几何法
瞬态响应
free vibration
functionally graded cylindrical shell
thermal environment
spectro-geometric method(SGM)
transient response
