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The energy generation and transmission in compound elastic cylindrical shells with heavy internal fluid loading—from parametric studies to optimization

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Abstract

The methodology of boundary integral equations is applied for analysis and optimization of the power flows in elastic compound cylindrical shells with heavy internal fluid loading. Two generic model problems are solved and the roles of various physical parameters involved in the problem formulation are assessed. It is shown that the efficiency of an optimization procedure heavily relies on a careful parametric study of wave propagation and correct physical interpretation of its results.

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References

  • Bobrovnitskij YI, Genkin MD (1974) Wave propagation in structures composed by thin-walled rods and plates. Nauka, Moscow (in Russian)

    Google Scholar 

  • Brillouin L (1953) Wave propagation in periodic structures, 2nd edn. Dover, New York

    MATH  Google Scholar 

  • Fuller CR (1983) The input mobility of an infinite circular cylindrical shell filled with fluid. J Sound Vib 87(3):409–427

    Article  MathSciNet  Google Scholar 

  • Fuller CR, Fahy FJ (1982) Characteristics of wave propagation and energy distributions in cylindrical shells filled with fluid. J Sound Vib 81(4):501–518

    Article  Google Scholar 

  • Fuller CR, Elliot SJ, Nelson PA (1995) Active control of vibration. Academic, London

    Google Scholar 

  • Gel’fand IM (1971) Lectures in linear algebra, 4th edn. Nauka, Moscow (in Russian)

    Google Scholar 

  • Gol’denvejzer AL, Lidskij VB, Tovstik PE (1979) Free vibrations of thin elastic shells. Nauka, Moscow (in Russian)

    Google Scholar 

  • Jensen JS (2003) Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures. J Sound Vib 266:1053–1078

    Article  Google Scholar 

  • Lee J-H, Kim J (2002) Sound transmission through periodically stiffened cylindrical shells. J Sound Vib 251:431–456

    Article  Google Scholar 

  • Ma ZD, Kukuchi N, Cheng HC (1995) Topological design for vibrating structures. Comput Methods Appl Mech Eng 121:259–280

    Article  MATH  Google Scholar 

  • Mace BR, Jones RW, Harland NR (2001) Wave transmission through structural inserts. J Acoust Soc Am 109:1417–1421

    Article  Google Scholar 

  • Mead DJ (1998) Passive vibration control. Wiley, New York

    Google Scholar 

  • Olhoff N (1970) Optimum design of vibrating circular plates. Int J Solids Struct 6:139–156

    Article  MATH  Google Scholar 

  • Olhoff N, Du J (2005a) Topology optimization of structures against vibration and noise. Proc of the 12th ICSV, Lisbon, Portugal

  • Olhoff N, Du J (2005b) Topological design for minimum dynamic compliance of continuum structures subjected to forced vibrations. (Submitted to Struct Multidisc Optim)

  • Pavic G (1992) Vibro-acoustical energy flow through straight pipes. J Sound Vib 154(3):411–429

    Article  MATH  Google Scholar 

  • Peake N, Crighton DG (2000) Active control of sound. Annu Rev Fluid Mech 32:137–164

    Article  MathSciNet  Google Scholar 

  • Pedersen NL (2004a) Optimization of holes in plates for control of eigenfrequencies. Struct Multidisc Optim 28:1–10

    Google Scholar 

  • Pedersen NL (2004b) Designing plates for minimum internal resonance (Submitted to Struct Multidisc Optim)

  • Sigmund O, Jensen JS (2003) Systematic design of phononic band-gap materials and structures by topology optimization. Philos Trans R Soc Lond A 361:1001–1019

    Article  MATH  MathSciNet  Google Scholar 

  • Sorokin SV, Ershova OA (2004) Plane wave propagation and frequency band gaps in periodic plates and cylindrical shells with and without heavy fluid loading. J Sound Vib 278:501–526

    Article  Google Scholar 

  • Sorokin SV, Ershova OA (2006) Analysis of the energy transmission in compound cylindrical shells with and without internal heavy fluid loading by boundary integral equations and by Floquet theory. J Sound Vib 291:81–99

    Article  Google Scholar 

  • Sorokin SV, Christensen ST, Olhoff N (1998) On analysis and optimization in structural acoustics—parts I, II. Struct Optim 16:83–107

    Google Scholar 

  • Sorokin SV, Nielsen JB, Olhoff N (2004) Green’s matrix and the boundary integral equations method for analysis of vibrations and energy flows in cylindrical shells with and without internal fluid loading. J Sound Vib 271(3–5):815–847

    Article  Google Scholar 

  • Tenek LH, Hagivara I (1994) Eigenfrequency maximization of plates by optimization of topology using homogenization and mathematical programming. ISME Int J 37:667–677

    Google Scholar 

  • Thambiratnam DP, Thevendran V (1988) Optimum vibrating shapes of beams and circular plate. J Sound Vib 121:13–23

    Article  Google Scholar 

  • Wej J, Petyt M (1997) A method of analyzing finite periodic structures, part 2: comparison with infinite periodic structure theory. J Sound Vib 202:571–583

    Article  Google Scholar 

  • Wolfram S (1991) Mathematica: a system for doing mathematics by computer. Addison-Wesley, Reading, MA

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanical Engineering, Aalborg University, Pontoppidanstraede 101, DK 9220, Aalborg, Denmark

    S. V. Sorokin & N. Olhoff

  2. Department of Engineering Mechanics, State Marine Technical University of St. Petersburg, St. Petersburg, 190008, Russia

    O. A. Ershova

Authors
  1. S. V. Sorokin
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  2. N. Olhoff
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  3. O. A. Ershova
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Correspondence to S. V. Sorokin.

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Sorokin, S.V., Olhoff, N. & Ershova, O.A. The energy generation and transmission in compound elastic cylindrical shells with heavy internal fluid loading—from parametric studies to optimization. Struct Multidisc Optim 32, 85–98 (2006). https://doi.org/10.1007/s00158-006-0008-z

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  • DOI: https://doi.org/10.1007/s00158-006-0008-z

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