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Vibro-acoustic modelling of immersed cylindrical shells with variable thickness

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주제분류조선공학

초록

Based on the Precise Transfer Matrix Method (PTMM), the dynamic model is constructed to observe the vibration behaviour of cylindrical shells with variable thickness by solving a set of first-order differential equations. The free vibration of stiffened cylindrical shells with variable thickness can be obtained to compare with the exact solution and FEM results. The reliability of the present method of free vibration is well proved. Furthermore, the effect of thickness on the vibration responses of the cylindrical shell is also discussed. The acoustic response of immersed cylindrical shells is analyzed by a Pluralized Wave Superposition Method (PWSM). The sound pressure coefficient can be gained by collocating points along the meridian line to satisfy the Neumann boundary condition. The mode convergence analysis of the cylindrical shell is carried out to guarantee calculation precision. Also, the reliability of the present method on sound radiation is verified by comparing with experimental results and numerical results.

Abstract

Based on the Precise Transfer Matrix Method (PTMM), the dynamic model is constructed to observe the vibration behaviour of cylindrical shells with variable thickness by solving a set of first-order differential equations. The free vibration of stiffened cylindrical shells with variable thickness can be obtained to compare with the exact solution and FEM results. The reliability of the present method of free vibration is well proved. Furthermore, the effect of thickness on the vibration responses of the cylindrical shell is also discussed. The acoustic response of immersed cylindrical shells is analyzed by a Pluralized Wave Superposition Method (PWSM). The sound pressure coefficient can be gained by collocating points along the meridian line to satisfy the Neumann boundary condition. The mode convergence analysis of the cylindrical shell is carried out to guarantee calculation precision. Also, the reliability of the present method on sound radiation is verified by comparing with experimental results and numerical results.

참고문헌 (15)

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  9. Tang, D., "Free and forced vibration analysis of multistepped circular cylindrical shells with arbitrary boundary conditions by the method of reverberation-ray matrix", Thin-Walled Struct, 116, pp.154~168 (2017)
  10. Tottenham, H., "Analysis of the free vibration of cantilever cylindrical thin elastic shells by the matrix progression method", Int. J. Mech. Sci, 14(5), pp.293~310 (1972)
  11. Ventsel, E., "Free vibrations of shells of revolution filled with a fluid", Eng. Anal. Bound. Elem, 34(10), pp.856~862 (2010)
  12. Wang, X., "Structural and acoustic response of a finite stiffened conical shell", Acta Mech. Solida Sin, 28(2), pp.200~209 (2015)
  13. Wang, X., "Dynamic modeling and vibration characteristics analysis of submerged stiffened combined shells", Ocean Eng, 127, pp.226~235 (2016)
  14. Wang, X. -z., "Structural and acoustic response of a finite stiffened submarine hull", China Ocean Eng, 30(6), pp.898~915 (2016)
  15. Zhang, X., "Frequency analysis of submerged cylindrical shells with the wave propagation approach", Int. J. Mech. Sci, 44(7), pp.1259~1273 (2002)

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