Vibration reduction by using the idea of phononic crystals in a pipe-conveying fluid

Flexural vibration in a pipe system conveying fluid is studied. The pipe is designed using the idea of the phononic crystals. Using the transfer matrix method, the complex band structure of the flexural wave is calculated to investigate the gap frequency range and the vibration reduction in band gap. Gaps with Bragg scattering mechanism and locally resonant mechanism can exist in a piping system with fluid loading. The effects of various parameters on the gaps are considered. The existence of flexural vibration gaps in a periodic pipe with fluid loading lends new insight into the vibration control of pipe system.

[1]  Youngjin Park,et al.  VIBRATION REDUCTION BY USING PERIODIC SUPPORTS IN A PIPING SYSTEM , 1998 .

[2]  P. Sheng,et al.  Three-component elastic wave band-gap material , 2002 .

[3]  Youn-sik Park,et al.  Vibration analysis of a 3-dimensional piping system conveying fluid by wave approach , 1996 .

[4]  Gang Wang,et al.  Theoretical and experimental investigation of flexural wave propagation in straight beams with periodic structures: Application to a vibration isolation structure , 2005 .

[5]  G. Wang,et al.  Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom , 2006 .

[6]  D. J. Mead,et al.  Coupled flexural-longitudinal wave motion in a periodic beam☆ , 1983 .

[7]  B. Djafari-Rouhani,et al.  Evidence of fano-like interference phenomena in locally resonant materials. , 2002, Physical review letters.

[8]  B. Djafari-Rouhani,et al.  Acoustic band structure of periodic elastic composites. , 1993, Physical review letters.

[9]  G. Wang,et al.  Flexural vibration band gaps in Timoshenko beams with locally resonant structures , 2006 .

[10]  C. D. Mote,et al.  A GENERALIZED TREATMENT OF THE ENERGETICS OF TRANSLATING CONTINUA, PART II: BEAMS AND FLUID CONVEYING PIPES , 1997 .

[11]  M. Kang,et al.  THE INFLUENCE OF ROTARY INERTIA OF CONCENTRATED MASSES ON THE NATURAL VIBRATIONS OF FLUID-CONVEYING PIPES , 2000 .

[12]  Eleftherios N. Economou,et al.  Elastic and acoustic wave band structure , 1992 .

[13]  D. J. Mead.  A new method of analyzing wave propagation in periodic structures; Applications to periodic timoshenko beams and stiffened plates , 1986 .

[14]  Qiusheng Li,et al.  Vibratory characteristics of flexural non-uniform Euler–Bernoulli beams carrying an arbitrary number of spring–mass systems , 2002 .

[15]  Gang Wang,et al.  Complete flexural vibration band gaps in membrane-like lattice structures , 2006 .

[16]  P. Sheng,et al.  Locally resonant sonic materials , 2000, Science.

[17]  N. K. Batra,et al.  Modelling and simulation of acoustic wave propagation in locally resonant sonic materials. , 2004, Ultrasonics.

[18]  D. J. Mead.  Free wave propagation in periodically supported, infinite beams , 1970 .

[19]  Gang Wang,et al.  Two-dimensional locally resonant phononic crystals with binary structures. , 2004, Physical review letters.

[20]  B. Djafari-Rouhani,et al.  Theory of acoustic band structure of periodic elastic composites. , 1994, Physical review. B, Condensed matter.

[21]  C. Kittel.  Introduction to solid state physics , 1954 .

[22]  B. Djafari Rouhani,et al.  Complex band structure of acoustic waves in superlattices , 1988 .