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FROM:
Yuan Du (1), Haichao Li (1), Qingtao Gong (2), Fuzhen Pang (1), and Liping Sun (1)
(1) College of Ship- building Engineering, Harbin Engineering University, Harbin, 150001, PR China
(2) Ulsan ship and ocean college, Ludong University, Yantai, 264025, PR China; AVIC WEihai Shipyard Co., Ltd, Economic and Technical Develop Zone, Weihai, 264207, PR China
“Dynamic and sound radiation characteristics of rectangular thin plates with general boundary conditions”, Curved and Layered Structures, Vol. 6, pp 117-131, 2019, https://doi.org/10.1515/cls-2019-0010
ABSTRACT: Based on the classical Kirchhoff hypothesis, the dynamic response and sound radiation of rectangular thin plates with general boundary conditions are studied. The transverse displacements of plate are represented by a double Fourier cosine series and three supplementary functions. The potential discontinuity associated with the original governing equation can be transferred to auxiliary series functions. All kinds of boundary conditions can be easily achieved by varying stiffness value of springs on each edge. The natural frequencies and vibration response of the plates are obtained by means of the Rayleigh–Ritz method. Sound radiation characteristics of the plate are derived using Rayleigh integral formula. Current method works well when handling dynamic response and sound radiation of plates with general boundary conditions. The accuracy and reliability of current method are confirmed by comparing with related literature and FEM. The non-dimensional frequency parameters of the rectangular plates with different boundary conditions and aspect ratios are presented in the paper, which may be useful for future researchers. Meanwhile, some interesting points are found when analyzing acoustic radiation characteristics of plates.
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