Abstract
Combining the Biot theory and classical elastic theory for thin shells, a new dynamic model of a thin fluid-saturated porous rotational shell is proposed. First-order ordinary differential control equations of the porous rotational shell are derived in the frequency domain. These equations are then solved by using the precise element method. The accuracy of this model has been verified by comparing with a vibration experiment. Moreover, the comparisons between the present model and two equivalent property models are carried out. Because the present approach considers the fluid-solid coupling effect and makes no assumptions for the fluid displacements, it is more accurate in the high-frequency range. Lastly, the dynamic characteristics of porous rotational shells are demonstrated by the proposed method.
Highlights
Porous materials are widely used for passive absorption and noise control in many fields, such as the vehicle, aerospace, geophysics, and civil engineering
Neglecting the relative fluid/solid displacements and defining the in-plane solid displacements as functions of the transverse solid displacement, Manuel et al derived a mixed displacement-pressure formulation for the bending vibration of porous plates by combining the thin plate theory and Biot theory [6]. is formulation is useful for porous plates saturated by air
Xiang et al [8] proposed a precise dynamic model of a thin rectangular porous plate based on the classical theory of thin plate. eodorakopoulos and Beskos [9] assumed that the in-plane fluid flow relative to the motion of the solid was negligible compared to the
Summary
Porous materials are widely used for passive absorption and noise control in many fields, such as the vehicle, aerospace, geophysics, and civil engineering. Shock and Vibration transverse fluid flow, and the governing equation written in terms of the three solid displacements and fluid transverse displacement was derived to demonstrate the flexural plate dynamic characteristic in the frequency domain. Employing a first-order shear deformation theory and the 3D Biot theory, Julien et al derived an analytical model of an infinite sandwich cylindrical shell to demonstrate the influence of the structural damping [11]. These infinite cylindrical shell models are quite different from the shells used in practical applications. In this article, accounting for the coupling interaction between the fluid and solid phases, the dynamic governing equations of the porous rotational shell based on classical thin shell theory and Biot theory are derived.
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