Abstract
Based on the Flügge theory and orthotropic theory, the acoustic vibration coupling model of ring-stiffened cylindrical shell is established by using the wave propagation method and virtual source method. And the effects of water immersion on both sides, free surface, and hydrostatic pressure on the cylindrical shell are considered in the coupling model. Muller three-point iterative method is used to solve the coupling frequency. The calculation results of degradation theory are compared with COMSOL’s calculation results and experimental results, respectively, which verifies the reliability of the theoretical method. Finally, the influence of fluid load, ring rib parameters, boundary conditions, hydrostatic pressure, and free surface on the coupled vibration of ring-stiffened cylindrical shell is analyzed by an example.
Highlights
Ring-stiffened cylindrical shell [1] is a common structure in engineering, which is widely used in aircraft and naval vessels. e research on the coupled vibration characteristics of ring-stiffened cylindrical shells has always been one of the focuses of scholars
Liu [12] established an acoustic vibration coupling model of a liquid-filled cylindrical shell to study the effect of hydrostatic pressure on the coupling frequency. e results show that the coupling frequency increases with the internal hydrostatic pressure
The effects of water immersion on both sides, free surface, and hydrostatic pressure on the cylindrical shell are considered in the equation. e Muller threepoint iterative method is used to obtain the coupling frequency of the ring-stiffened cylindrical shell. e calculation results of degradation theory are compared with COMSOL’s calculation results and experimental results, respectively, which verifies the reliability of the theoretical method
Summary
Ring-stiffened cylindrical shell [1] is a common structure in engineering, which is widely used in aircraft and naval vessels. e research on the coupled vibration characteristics of ring-stiffened cylindrical shells has always been one of the focuses of scholars. Liang et al [19], respectively, studied the effects of hydrostatic pressure, cross-section size and number of ribs, and boundary conditions on the coupled vibration of underwater ring-stiffened cylindrical shells. The effects of water immersion on both sides, free surface, and hydrostatic pressure on the cylindrical shell are considered in the equation. The influence of fluid load, ring rib parameters, boundary conditions, hydrostatic pressure, and free surface on the coupled vibration of ring-stiffened cylindrical shell is analyzed by an example. In which σ r f represents the mode attached water mass density generated by the fluid near the cylindrical shell, and σrfcan be divided into three working conditions: liquid filling, underwater immersion, and double-sided immersion. Since equation (8) is a transcendental equation, the Muller three-point iterative method is used to solve the coupling frequency
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