Flexural vibrations of finite composite poroelastic cylinders

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• 作者：SANDHYA RANI BANDARI ; SRISAILAM ALETI ; MALLA REDDY PERATI
• 关键词：Flexural vibrations ; finite composite cylinder ; poroelasticity ; frequency equation ; phase velocity ; aspect ratio.
• 刊名：Sadhana
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：40
• 期：2
• 页码：591-604
• 全文大小：437 KB
• 参考文献：Biot M A 1956 The theory of propagation of elastic waves in fluid-saturated porous solid. J. Acous. Soc. Am. 28: 168-78
  Biswas R N, Nangia A K and Ram Kumar 1976 Flexural vibrations of a finite circular cylinder. Acoustic 35: 26-1
  Fatt I 1957 The Biot-Willis elastic coefficients for a sandstone. J. Appl. Mech. 26: 296-97
  Gazis D C 1957 Exact analysis of plane-strain vibrations of thick-walled hollow cylinders. J. Acoust. Soc. Am. 30: 786-94
  Gazis D C 1959 Three dimensional investigation of waves in hollow circular cylinders, I., Analytical Foundation. J. Acoust. Soc. Am. 31: 568-73
  Hamid Reza Seyyed Hosseinzadeh M D, Mehrnoush Hassas Yeganeh M D and Hamed Reza Seyyed Hosseinzadeh 2010 Plate fixation in orthopaedics: Basic concepts and clinical applications
  Malla Reddy P and Tajuddin M 2000 Exact analysis of the plane strain vibrations of thick walled hollow poroelastic cylinders. Int. J. Solids Struct. 37: 3439-456
  Nowinski J L and Davis C F 1971 Propagation of longitudinal waves in circularly cylindrical bone elements . Trans. ASME, J. Appl. Mech. 578-84
  Ram Kumar 1964 Axially symmetric vibrations of a finite isotropic cylinder. J. Acoust. Soc. Am. 38: 851-54
  Shah S A and Tajuddin M 2009 Axially symmetric vibrations of finite composite poroelastic cylinder . Int. J. Appl. Mech. Eng. 14(3): 865-77
  Tajuddin M 1982 Torsional vibrations of finite composite poroelastic cylinders. Indian J. Pure Appl. Math. 13: 375-81
  Tajuddin M and Ahmed Shah S 2006 Circumferential waves of infinite hollow poroelastic cylinders . Trans. ASME, J. Appl. Mech. 73: 705-08
  Tajuddin M and Narayan Reddy G 2005 Effect of boundaries on the dynamic interaction of a liquid-filled porous layer and a supporting continuum. Sadhana 30(4): 527-35
  Tajuddin M and Sarma K S 1978 Torsional vibrations of finite hollow poroelastic circular cylinders . Def. Sci. J. 28: 97-02
  Tajuddin M and Sarma K S 1980 Torsional vibrations of poroelastic circular cylinders. Trans. ASME, J. Appl. Mech. 47: 214-16
  Tajuddin M and Shah S A 2007 On torsional vibrations of infinite hollow poroelastic cylinders. J. Mech. Mater Struct. 2(1): 189-00
  Whitter J S and Jones J P 1982 Axially symmetric wave propagation in two layered cylinder. Int. J. Solids Struct. 3: 657-75
  Yew C H and Jogi P N 1976 Study of wave motions in fluid-saturated porous rocks. J. Acoust. Soc. Am. 60: 2-
  
• 作者单位：SANDHYA RANI BANDARI (1)
  SRISAILAM ALETI (1)
  MALLA REDDY PERATI (1)
  
  1. Department of Mathematics, Kakatiya University, Warangal, 506 009, India
  
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  
• 出版者：Springer India, in co-publication with Indian Academy of Sciences
• ISSN：0973-7677

文摘

This paper deals with the flexural vibrations of composite poroelastic solid cylinder consisting of two cylinders that are bonded end to end. Poroelastic materials of the two cylinders are different. The frequency equations for pervious and impervious surfaces are obtained in the framework of Biot’s theory of wave propagation in poroelastic solids. The gauge invariance property is used to eliminate one arbitrary constant in the solution of the problem. This would lower the number of boundary conditions actually required. If the wavelength is infinite, frequency equations are degenerated as product of two determinants pertaining to extensional vibrations and shear vibrations. In this case, it is seen that the nature of the surface does not have any influence over shear vibrations unlike in the case of extensional vibrations. For illustration purpose, three composite cylinders are considered and then discussed. Of the three, two are sandstone cylinders and the third one is resulted when a cylindrical bone is implanted with Titanium. In either case, phase velocity is computed against aspect ratios.