Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix

TONG Guojun; LIU Yongshou; WANG Yingchao

doi:10.3969/j.issn.0258-2724.20180287

Volume 55 Issue 3

Jun. 2020

Turn off MathJax

Article Contents

Journal of Southwest Jiaotong University > 2020 > 55(3): 502-508.

TONG Guojun, LIU Yongshou, WANG Yingchao. Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix[J]. Journal of Southwest Jiaotong University, 2020, 55(3): 502-508. doi: 10.3969/j.issn.0258-2724.20180287

Citation:

TONG Guojun, LIU Yongshou, WANG Yingchao. Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix[J]. Journal of Southwest Jiaotong University, 2020, 55(3): 502-508. doi: 10.3969/j.issn.0258-2724.20180287

Citation:

PDF( 1266 KB)

Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix

doi: 10.3969/j.issn.0258-2724.20180287

Received Date: 20 Apr 2018
Rev Recd Date: 17 Aug 2018

Available Online: 05 Sep 2018

Publish Date: 01 Jun 2020

Abstract

Abstract

In order to investigate the fluid-structure coupled vibration problems of functionally graded material (FGM) fluid conveying pipes embedded in elastic matrix. Firstly, the vibration control equation of the FGM pipe was derived according to Euler-beam model theory. Then, the differential quadrature method was used to solve the vibration control equation. Finally, the influence of the volume fraction of the material component, temperature, slenderness ratio and elastic coefficient of elastic matrix on natural frequency and critical velocity of the system was discussed according to the calculated results.The following conclusions are obtained: (1) The increase of the volume fraction of the internal material components will lead to the dimensionless natural frequency of the system increase and the critical velocity decrease (exponential n increases from 0 to 10, the natural frequency increases by about 13% and the critical velocity decreases by about 6% when the flow velocity is 0). (2) With the increase of temperature, the natural frequency and the critical velocity of the system will decrease (when the length-diameter ratio is 100, the temperature increases by 30 K, the natural frequency decreases by about 4% wand the critical velocity decreases by about 14% hen the flow rate is 0). The natural frequency of the system decrease obviously when the slenderness ratio decreases (when the length-diameter ratio is 100, 50 and 20, the natural frequencies of the system are 160, 41.1 and 11.87, respectively). (3) The natural frequency of the system decreases with the increase of the external radius, the thinner the tube wall the faster it changes, the thicker the tube wall the slower it changes (the decrease of natural frequency caused by the increase of outer diameter from 0.1 m to 0.11 m is about 100 times that from 0.19 m to 0.2 m). (4) The increase of the elastic coefficient k will improve the natural frequency of the system (the natural frequency of the system increased by about 74% when k increases by three times).
- functionally graded material fluid conveying pipes,
- elastic matrix,
- volume fraction,
- natural frequency

FullText(HTML)

References(19)

References

仲政,吴林志,陈伟球. 功能梯度材料与结构的若干力学问题研究进展[J]. 力学进展,2010,40(5): 528-541.

ZHONG Zheng, WU Linzhi, CHEN Weiqiu. Progress in the study on mechanics problems of functionally graded materials and structures[J]. Advances in Mechanics, 2010, 40(5): 528-541.

邸克,杨月诚. 功能梯度界面层模型断裂问题研究进展[J]. 兵器装备工程学报,2012,33(10): 116-119. doi: 10.11809/j.issn.1006-0707.2012.10.040

DI Ke, YANG Yuecheng. Research progress on fracture of functional gradient interface layer model[J]. Journal of Sichuan Ordnance, 2012, 33(10): 116-119. doi: 10.11809/j.issn.1006-0707.2012.10.040

王琳,匡友弟,黄玉盈,等. 输液管振动与稳定性研究的新进展:从宏观尺度到微纳米尺度[J]. 固体力学学报,2010,31(5): 481-495.

WANG Lin, KUANG Youdi, HUANG Yuying, et al. Recent development on vibration and stability of pipes conveying fluid:from macro-scale to micro-and nano-scales[J]. Chinese Journal of Solid Mechanics, 2010, 31(5): 481-495.

李云东,杨翊仁,文华斌. 非线性弹性地基上悬臂管道的参数振动[J]. 振动与冲击,2016,35(24): 14-19.

LI Yundong, YANG Yiren, WEN Huabin. Parametric vibration of a cantilevered pipe conveying pulsating fluid on a nonlinear elastic foundation[J]. Journal of Vibration and Shock, 2016, 35(24): 14-19.

YANG T Z, YANG X D, LIU Y H, et al. Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity[J]. Journal of Vibration and Control, 2013, 20(9): 1293-1300.

XU Y Z, JIAO Z X. Exact solution of axial liquid-pipe vibration with time-line interpolation[J]. Journal of Fluids and Structures, 2017, 70: 500-518. doi: 10.1016/j.jfluidstructs.2016.12.011

段伦良,郑东生,张启博,等. 半埋式海底管道周围海床瞬态液化稳定性研[J]. 西南交通大学学报,2017,52(4): 671-677. doi: 10.3969/j.issn.0258-2724.2017.04.004

DUAN Lunliang, ZHENG Dongsheng, ZHANG Qibo, et al. Numerical study on wave-induced oscillatory soil liquefaction around a partially buried pipeline[J]. Journal of Southwest Jiaotong University, 2017, 52(4): 671-677. doi: 10.3969/j.issn.0258-2724.2017.04.004

郑爽英,杨立忠. 隧道爆破地震下输气管道动力响应数值试验[J]. 西南交通大学学报,2017,52(2): 264-271. doi: 10.3969/j.issn.0258-2724.2017.02.008

ZHENG Shuangying, YANG Lizhong. Numerical experiments of dynamic response of buried gas pipeline under the action of seismic waves induced by tunnel blasting[J]. Journal of Southwest Jiaotong University, 2017, 52(2): 264-271. doi: 10.3969/j.issn.0258-2724.2017.02.008

黄茜,臧峰刚,张毅雄. 带滞变支撑悬臂输流管的稳定性[J]. 西南交通大学学报,2011,46(5): 841-846. doi: 10.3969/j.issn.0258-2724.2011.05.022

HUANG Qian, ZANG Fenggang, ZHANG Yixiong. Stability analysis of cantilevered pipes conveying fluid with hysteretic supports[J]. Journal of Southwest Jiaotong University, 2011, 46(5): 841-846. doi: 10.3969/j.issn.0258-2724.2011.05.022

LI Y S, ZHANG Z J, LI B H. Dynamic stiffness method for free vibration analysis of variable diameter pipe conveying fluid[J]. Journal of Vibroengineering, 2014, 16(2): 832-845.

赵千里,孙志礼,柴小冬,等. 具有弹性支承输流管路的强迫振动分析[J]. 机械工程学报,2017,53(12): 186-191. doi: 10.3901/JME.2017.12.186

ZHAO Qianli, SUN Zhili, CHAI Xiaodong, et al. Forced vibration analysis of fluid-conveying pipe with elastic supports[J]. Journal of Mechanical Engineering, 2017, 53(12): 186-191. doi: 10.3901/JME.2017.12.186

LI B H, GAO H S, LI Y S, et al. Transient response analysis of multi-span pipe conveying fluid[J]. Journal of Vibration and Control, 2013, 19(14): 2164-2176. doi: 10.1177/1077546312455836

DENG J Q, LI Y S, ZHANG Z J, et al. Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method[J]. European Journal of Mechanics A/Solids, 2017, 65: 257-270. doi: 10.1016/j.euromechsol.2017.04.003

WANG Z M, LIU Y Z. Transverse vibration of pipe conveying fluid made of functionally graded materials using a symplectic method[J]. Nuclear Engineering and Design, 2016, 298: 149-159. doi: 10.1016/j.nucengdes.2015.12.007

SHEN H J, MICHAEL P, PAIDOUSSI S, et al. The beam-mode stability of periodic functionally-graded-material shells conveying fluid[J]. Journal of Sound and Vibration, 2014, 333(10): 2735-2749. doi: 10.1016/j.jsv.2014.01.002

LIU F, YANG X D, BAO R D, et al. Frequency analysis of functionally graded curved pipes conveying fluid[J]. Advances in Materials Science and Engineering, 2016, 2016: 1-9.

ANSARI R, GHOLAMI R, NOROUZZADEH A, et al. Size-dependent vibration and instability of fluid-conveying functionally graded microshells based on the modified couple stress theory[J]. Microfluidics and Nanofluidics, 2015, 19(3): 509-522. doi: 10.1007/s10404-015-1577-1

SETOODEH A R, AFAHIM S. Nonlinear dynamic analysis of FG micro-pipes conveying fluid based on strain gradient theory[J]. Composite Structures, 2014, 116(1): 128-135.

FUNG T C. Imposition of boundary conditions by modifying the weighting coefficient matrices in the differential quadrature method[J]. International Journal of Numerical Mathematic Engineering, 2003, 56(3): 405-432. doi: 10.1002/nme.571

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Figures(6)

Get Citation

PDF

XML

Article views(598) PDF downloads(9)

Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix

doi: 10.3969/j.issn.0258-2724.20180287

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Proportional views

Related

Thermo-Elastic Vibration Analysis of Functionally Graded Material Pipes in Elastic Matrix

doi: 10.3969/j.issn.0258-2724.20180287

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Proportional views

Related

Export File

Citation

Format

Content