Analysis on traveling wave modal frequency of a rotating FGMs laminated cylindrical shell

Chao LIU; Wenguang LIU; Zhipeng LÜ; Yuhang ZHANG

doi:10.13224/j.cnki.jasp.20210029

Chinese

您当前的位置：

首页 >

文章列表页 >

Analysis on traveling wave modal frequency of a rotating FGMs laminated cylindrical shell

Structure,Strength and Vibration | 更新时间：2025-04-07

- Analysis on traveling wave modal frequency of a rotating FGMs laminated cylindrical shell
- Journal of Aerospace Power Vol. 37, Issue 4, Pages: 721-733(2022)
- 作者机构：
  
  南昌航空大学航空制造工程学院，南昌 330063
- 作者简介：
- 基金信息：
- DOI：10.13224/j.cnki.jasp.20210029
  CLC：
- 稿件说明：
移动端阅览
Chao LIU, Wenguang LIU, Zhipeng LÜ, et al. Analysis on traveling wave modal frequency of a rotating FGMs laminated cylindrical shell[J]. Journal of Aerospace Power, 2022, 37(4): 721-733.
DOI：

Chao LIU, Wenguang LIU, Zhipeng LÜ, et al. Analysis on traveling wave modal frequency of a rotating FGMs laminated cylindrical shell[J]. Journal of Aerospace Power, 2022, 37(4): 721-733. DOI： 10.13224/j.cnki.jasp.20210029.

摘要

为推进功能梯度（FGMs）材料在发动机、导弹和火箭等领域的应用，旨在研究旋转FGMs层合圆柱壳的行波模态频率。采用Voigt模型和Sigmoid体积分数描述FGMs层合圆柱壳的材料属性，考虑科里奥利力、离心惯性力、环向初应力以及热内力推导了FGMs层合圆柱壳的能量表达式。采用切比雪夫正交多项式构造位移容许函数，建立了任意边界旋转FGMs层合圆柱壳的模态频率方程，并探讨了组分含量、夹层厚度、温度梯度和弹簧刚度系数等对FGMs层合圆柱壳模态频率的影响。结果表明：夹层厚度相比Sigmoid体积分数对模态频率的变化更为敏感；高旋转短薄壁圆柱壳相比长薄壁圆柱壳对边界条件和失稳现象的影响更为敏感；轴向弹簧相比其他弹簧对模态频率的影响更大。

Abstract

For prompting the application of functionally graded materials （FGMs） in the fields of engines，missiles and rockets，the traveling wave modal frequencies of rotating FGMs laminated cylindrical shell were studied.The Voigt model and Sigmoid volume fraction were employed to describe the material properties of the FGMs laminated cylindrical shell.The energy expression of the rotating FGMs laminated cylindrical shell was derived with the Coriolis force，centrifugal inertial force，hoop initial tension and thermal internal force involved.The modal frequency equation of the FGMs laminated cylindrical shell with arbitrary boundary conditions was derived by using the Chebyshev orthogonal polynomial as the admissible displacement function.And the effects of material components，sandwich thickness，temperature gradient and spring stiffness coefficients on the modal frequency of the FGMs laminated cylindrical shell were discussed.Results indicate that the sandwich thickness is more sensitive to the traveling wave mode than the Sigmoid volume fraction index；the short thin⁃walled cylindrical shell is more sensitive to boundary conditions and instability than the long thin⁃walled structures at high rotation speeds；the axial spring stiffness has a greater effect on the traveling wave mode than other spring stiffness.

关键词

Keywords

references

李凯伦，张家忠，王赵波 . 超声速流动中功能梯度曲壁板的热气动弹性颤振机理 [J]. 航空动力学报， 2018 ， 33 （ 8 ）: 1905 ⁃ 1915 .

LI Kailun ， ZHANG Jiazhong ， WANG Zhaobo . Aerothermoelastic flutter mechanisms of functionally graded curved panel in supersonic flows [J]. Journal of Aerospace Power ， 2018 ， 33 （ 8 ）: 1905 ⁃ 1915 . （in Chinese）

刘超，刘文光 . 金属陶瓷功能梯度板的模态频率分析 [J]. 航空材料学报， 2020 ， 40 （ 5 ）: 88 ⁃ 95 .

LIU Chao ， LIU Wenguang . Modal frequency analysis of metallic⁃ceramic functionally graded plates [J]. Journal of Aeronautical Materials ， 2020 ， 40 （ 5 ）: 88 ⁃ 95 . （in Chinese）

BRYAN G H . On the beats in the vibrations of a revolving cylinder or bell [J]. Proceedings of the Cambridge Philosophical Society ， 1890 ， 7 : 101 ⁃ 111 .

DITARANTO R A ， LESSEN M . Coriolis acceleration effect on the vibration of a rotating thin⁃walled circular cylinder [J]. Journal of Applied Mechanics ， 1964 ， 31 （ 4 ）: 700 ⁃ 701 .

SRINIVASAN A V ， LAUTERBACH G F . Traveling waves in rotating cylindrical shells [J]. Journal of Engineering for Industry ， 1971 ， 93 （ 4 ）: 1229 ⁃ 1232 .

SAITO T ， ENDO M . Vibration of finite length，rotating cylindrical shells [J]. Journal of Sound and Vibration ， 1986 ， 107 （ 1 ）: 17 ⁃ 28 .

项松，李广超，张魏，等 . 旋转功能梯度圆柱壳的固有频率计算 [J]. 应用数学和力学， 2012 ， 33 （ 3 ）: 332 ⁃ 341 .

XIANG Song ， LI Guangchao ， ZHANG Wei ， et al . Natural frequency of rotating functionally graded cylindrical shells [J]. Applied Mathematics and Mechanics ， 2012 ， 33 （ 3 ）: 332 ⁃ 341 . （in Chinese）

LIANG B ， XIANG S ， LI R ， et al . Study of effective factors for the vibration of rotating functionally graded cylindrical shells [J]. Journal of Ship Mechanics ， 2013 ， 17 （ 12 ）: 1460 ⁃ 1472 .

HOSSEINI⁃HASHEMI S ， ILKHANI M R ， FADAEE M . Accurate natural frequencies and critical speeds of a rotating functionally graded moderately thick cylindrical shell [J]. International Journal of Mechanical sciences ， 2013 ， 76 （ 1/2 ）: 9 ⁃ 20 .

孙述鹏，曹登庆，初世明 . 转动薄壁圆柱壳行波振动响应分析 [J]. 振动工程学报， 2013 ， 26 （ 3 ）: 161 ⁃ 168 .

SUN Shupeng ， CAO Dengqing ， CHU Shiming . Analysis of travelling wave vibration response for thin rotating cylindrical shell [J]. Journal of Vibration Engineering ， 2013 ， 26 （ 3 ）: 161 ⁃ 168 . （in Chinese）

SHENG G G ， WANG X . The nonlinear vibrations of rotating functionally graded cylindrical shells [J]. Nonlinear Dynamics ， 2017 ， 87 （ 2 ）: 1095 ⁃ 1109 .

SAADATFAR M ， AGHAIE K M . Thermoelastic analysis of a rotating functionally graded cylindrical shell with functionally graded sensor and actuator layers on an elastic foundation placed in a constant magnetic field [J]. Journal of Intelligent Material Systems and Structures ， 2016 ， 27 （ 4 ）: 512 ⁃ 527 .

TALEBITOOTI M . Three⁃dimensional free vibration analysis and critical speed of pressurized rotating functionally graded cylindrical shells [J]. Iranian Journal of Science and Technology ，Transactions of Mechanical Engineering， 2019 ， 43 （ 2 ）: 113 ⁃ 126 .

李文达，杜敬涛，杨铁军，等 . 基于改进傅里叶级数方法的旋转功能梯度圆柱壳振动特性分析 [J]. 哈尔滨工程大学学报， 2016 ， 37 （ 3 ）: 388 ⁃ 393 .

LI Wenda ， DU Jingtao ， YANG Tiejun ， et al . Vibration characteristics analysis of the rotating functionally graded cylindrical shell structure using an improved Fourier series method [J]. Journal of Harbin Engineering University ， 2016 ， 37 （ 3 ）: 388 ⁃ 393 . （in Chinese）

WANG Q S ， SHI D Y ， LIANG Q ， et al . Free vibration of four⁃parameter functionally graded moderately thick doubly⁃curved panels and shells of revolution with general boundary conditions [J]. Applied Mathematical Modelling ， 2017 ， 42 : 705 ‑ 734 .

JIN G Y ， SHI S X ， SU Z ， et al . A modified Fourier–Ritz approach for free vibration analysis of laminated functionally graded shallow shells with general boundary conditions [J]. International Journal of Mechanical sciences ， 2015 ， 93 : 256 ‑ 269 .

QIN Z Y ， CHU F L ， ZU J . Free vibrations of cylindrical shells with arbitrary boundary conditions:a comparison study [J]. International Journal of Mechanical Sciences ， 2017 ， 133 : 91 ⁃ 99 .

HEYDARPOUR Y ， MALEKZADEH P ， GOLBAHAR HAGHIGHI M R ， et al . Thermoelastic analysis ofrotating laminated functionally graded cylindrical shells using layerwise differential quadrature method [J]. Acta Mechanica ， 2012 ， 223 （ 1 ）: 81 ⁃ 93 .

SHEN H S . Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium [J]. Composite Structures ， 2012 ， 94 （ 3 ）: 1144 ⁃ 1154 .

LOY C T ， LAM K Y ， REDDY J N . Vibration of functionally graded cylindrical shells [J]. International Journal of Mechanical sciences ， 1999 ， 41 （ 3 ）: 309 ⁃ 324 .

李文达，杜敬涛，杨铁军 , 等 . 边界条件对旋转薄壁圆柱壳结构自由振动行波特性的影响分析 [J]. 振动工程学报， 2016 , 29 （ 3 ）: 452 ⁃ 464 .

LI Wenda ， DU Jingtao ， YANG Tiejun ， et al . Influence of boundary conditions on traveling wave characteristics of thin rotating cylindrical shell structure for free vibration [J]. Journal of Vibration Engineering ， 2016 ， 29 （ 3 ）: 452 ⁃ 464 . （in Chinese）

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Interval analysis of rotor dynamic characteristics based on ,Chebyshev polynomials expansion

Dynamic characteristics of active magnetic bearing system with metal rubber annuluses

Experimental investigation of effect of step axial location and rotating speed on leakage of stepped labyrinth

基于三维接触摩擦单元的套齿连接解析建模研究

组合式弹性金属密封泄漏特性实验研究与结构优化

Related Author

WANG Cun

XIE Zhen-yu

WANG Tong

ZHANG Jing-ting

GAO Hua

HUANG Pei-zhen

JI Guo-jian

JI Hong-hu

Related Institution

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics

College of Aerospace Engineering Nanjing University of Aeronautics and Astronautics

College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics

AI问答

Postal code：100079
Tel：（010）53879206 Email：tmw@bjxintong.com.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09082226号-64 京公网安备11010602201714号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰