ANALYSIS OF ACOUSTIC RADIATION OF THE RING-STIFFENED CYLINDRICAL SHELL WITH FINITE LENGTH IN UNDERWATER BASED ON RICCATI TRANSFER MATRIX METHOD

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Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (9) : 149-154.

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ANALYSIS OF ACOUSTIC RADIATION OF THE RING-STIFFENED CYLINDRICAL SHELL WITH FINITE LENGTH IN UNDERWATER BASED ON RICCATI TRANSFER MATRIX METHOD

CAO Lei MA Yunyi HUANG Yuyin

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Abstract

Based on the Riccati transfer matrix method and high precision intergration scheme combined with the extended homogeneous capacity technique, a new semi-analytical and semi-numerical method is presented for analyzing the vibro-acoustic interaction problems of ring-stiffened circular shells with finite length in underwater by solving a set of first order differential equations. This method is different from previous analytical method and FE-BE method. An analytical expression of the acoustic pressure is derived by linear combination of the basic functions which satisfies the Helmholtz equation. The vibro-acoustic interaction problem can be transferred into solving a linear algebraic equations in all acoustic pressure coefficients by matching points along the generating line of the shell by means of the continuity conditions of the normal velocity on the interface between the acoustic field and shell. The obtained numerical results show this method is efficient. It can also be extended to analyze the vibro-acoustic interaction problems of ring-stiffened conical shells and jointed conical-cylindrical shells with finite length.

Key words

Riccati transfer matrix method / ring-stiffened cylindrical shell with finite length / acoustic radiation

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CAO Lei MA Yunyi HUANG Yuyin. ANALYSIS OF ACOUSTIC RADIATION OF THE RING-STIFFENED CYLINDRICAL SHELL WITH FINITE LENGTH IN UNDERWATER BASED ON RICCATI TRANSFER MATRIX METHOD[J]. Journal of Vibration and Shock, 2009, 28(9): 149-154