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Shock and Vibration
Volume 2019, Article ID 2364515, 22 pages
Research Article

Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

1Naval Research Academy, Beijing 100161, China
2State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China
3Beijing Aerospace Technology Institute, China Aerospace Science & Industry Corp, Beijing 100074, China

Correspondence should be addressed to Dong Shao; moc.kooltuo@natasoahsgnod

Received 4 June 2019; Revised 19 August 2019; Accepted 17 October 2019; Published 7 November 2019

Academic Editor: Angelo Marcelo Tusset

Copyright © 2019 Yuan Cao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated.