充液功能梯度材料圆柱壳振动特性的波动解

Z·伊克巴尔; M·N·纳伊姆; N·萨尔塔纳; S·H·阿沙德; A·沙赫

doi:10.3879/j.issn.1000-0887.2009.11.005

充液功能梯度材料圆柱壳振动特性的波动解

doi: 10.3879/j.issn.1000-0887.2009.11.005

1.
萨戈达大学数学系,旁遮普,巴基斯坦;2.G·C·费萨拉巴德大学数学系,旁遮普,巴基斯坦;3.巴哈瓦尔普尔伊斯兰大学数学系,巴哈瓦尔普尔,旁遮普,巴基斯坦

详细信息

中图分类号: O327
计量
- 文章访问数: 2083
- HTML全文浏览量: 282
- PDF下载量: 709
- 被引次数: 0
出版历程
- 收稿日期: 2009-03-22
- 修回日期: 2009-07-28
- 刊出日期: 2009-11-15

Vibration Characteristics of FGM Circalar Cylindrical Shells Containing Fluid Using Wave Propagation Approach

1.
Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan;

摘要

摘要: 利用波动法，研究充满非粘滞不可压缩流体的，功能梯度材料圆柱壳的振动特性．相关的轴向形态用指数函数来近似，在两端简支、一端固支另一端简支和两端固支边界条件下，计及流体的影响，理论研究了壳的振动频率．通过与现有文献研究结果的比较，验证了该方法的有效性和精确性，发现二者吻合得很好
- 功能梯度材料 /
- Love壳体理论 /
- 圆柱壳 /
- 体积分数律 /
- 固有频率 /
- 波的传播
Abstract: The vibration characteristics of functionally graded material circular cylindrical shell containing fluid are examined by employing the wave propagation approach. The shell was filled with a non-viscous and in compressible fluid. Axialmodal dependence was approxmiated by exponential functions. A theoretical study of shell vibration frequencies was analyzed for simply supported-simply supported, clamped-simply supported and clamped-clamped, boundary conditions with the fluid effect. Validity and accuracy of the present method was con firmed by comparing the present results with those available in the literature. A good agreement was observed between the two sets of the results.
- functionally gradedmaterial /
- Love? /
- shelltheory /
- cylindrical shell /
- volume fraction law /
- natural frequency

HTML全文

参考文献(19)

[1]	Junger M C,Mass C.Vibration of elastics shells in a fluid medium and the asso
[2]	Jain R K.Vibration of fluid-filled,orthotropic cylindrical shells[J].Journal of Sound and Vibration,1974,37（3）:379-388. doi: 10.1016/S0022-460X(74)80253-1
[3]	Goncalves P B,Batista R C.Frequency response of cylindrical shells partially submerged or filled with liquid[J].Journal of Sound and Vibration,1987,113(1):59-70. doi: 10.1016/S0022-460X(87)81340-8
[4]	CHEN Wei-qiu，DING Hao-Jiang.Natural frequencies of fluid-filled transversely isotropic cylindrical shells[J].International Journal of Mechanical Sciences,1999,41（6）： 677-684. doi: 10.1016/S0020-7403(98)00088-5
[5]	Zhang X M,Liu G R,Lam K Y.Coupled vibration analysis of fluid filled cylindrical shells using the wave propagation approach[J].Journal of Applied Acoustics,2001,62(3)：229-243. doi: 10.1016/S0003-682X(00)00045-1
[6]	Zhang X M,Liu G R,Lam K Y.Vibration analysis of thin cylindrical shells using wave propagation approach[J].Journal of Sound and Vibration,2001,239(3):397-403. doi: 10.1006/jsvi.2000.3139
[7]	LI Xue-bin. Study of free vibration analysis of circular cylindrical shells using wave propagation[J].Journal of Sound and Vibration,2008,311（3/5）：667-682.
[8]	Zhang X M.Frequency analysis of submerged cylindrical shells with the wave propagation approach[J].International Journal of Mechanical Sciences，2002,44（7）：1259-1273. doi: 10.1016/S0020-7403(02)00059-0
[9]	Natsuki T,NI Q-Q,Endo M.Vibration analysis of fluid-filled carbon nanotubes using the wave propagation approach[J].Journal of Applied Physics A, Material Science and Processing,2008,90（3）：441-445. doi: 10.1007/s00339-007-4297-x
[10]	Haddadpour H,Mahmoudkhani S,Navazi H M.Free vibration analysis of functionally graded cylindrical shells including thermal effects[J].Journal of Thin-Walled Structures,2007,45(6):591-599. doi: 10.1016/j.tws.2007.04.007
[11]	Sheng G G,Wang X.Thermo mechanical vibration analysis of a functionally graded shell with flowing fluid[J].European Journal of Mechanics - A/Solids,2008,27(6):1075-1087. doi: 10.1016/j.euromechsol.2008.02.003
[12]	Loy C T,Lam K Y,Reddy J N.Vibration of functionally graded cylindrical shells[J].Int J Mech Sci,1999,41（3）：309-324. doi: 10.1016/S0020-7403(98)00054-X
[13]	Pradhan S C,Loy C T,Lam K Y,et al.Vibration characteristics of functionally graded cylindrical shells under various boundary conditions[J].Applied Acoustics,2000,61(1):111-129. doi: 10.1016/S0003-682X(99)00063-8
[14]	Naeem M N.Vibrational frequency analysis of non-rotating and rotating FGM circular cylindrical shells[D].Ph D Thesis.Manchester,UK:University of Manchester Institute of Science and Technology,2002.
[15]	Najafizadeh M M,Isvandzibaei M R.Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support[J].Acta Mechanica,2007,191（1/2）：75-91. doi: 10.1007/s00707-006-0438-0
[16]	Arshad S H,Naeem M N,Sultana N.Frequency analysis of functionally graded material cylindrical shells with various volume fraction law[J].Journal of Mechanical Engineering Science,2007,221（12）：1483-1495. doi: 10.1243/09544062JMES738
[17]	Love A E H.A Treatise on the Mathematical Theory of Elasticity[M].4th ed.Cambridge： Cambridge University Press,1952.
[18]	Yamanouchi M,Koizumi M,Hirai T，et al.Proceeding of the First International Symposium on Functionally Gradient Materials[C].Japan:Sendai,1990.
[19]	Koizumi M.Functionally gradient materials the concept of FGM[J].Ceramic Transactions,1993,34:3-10.