City Research Online

Spectral dynamic stiffness theory for free vibration analysis of plate structures stiffened by beams with arbitrary cross-sections

Liu, X., Li, Y., Lin, Y. & Banerjee, R. (2021). Spectral dynamic stiffness theory for free vibration analysis of plate structures stiffened by beams with arbitrary cross-sections. Thin-Walled Structures, 160, 107391. doi: 10.1016/j.tws.2020.107391


A spectral dynamic stiffness (SDS) model for plate assemblies stiffened by beams is proposed. The theory is sufficiently general where the plate assemblies can be subjected to any arbitrary boundary conditions (BCs), but importantly, the beam stiffeners can be of open or closed cross-sections, and maybe connected to plates with or without eccentricity. First, by using modified Fourier series, the SDS formulations for different beam stiffeners are developed based on their equations of motion for the most general case. Then, the beam stiffeners’ SDS matrices are superposed directly onto those of the plate assemblies. Next, the reliable, efficient and robust Wittrick-Williams algorithm is applied for the modal analysis of the overall structure. Representative examples are provided to illustrate the accuracy and versatility of the method, where the proposed theory is extensively validated by the software ANSYS. The proposed method inherits all advantages of the previously developed SDS theory for plate structures, including high computational efficiency, accuracy, robustness in eigenvalue calculation and the versatility in modelling arbitrary BCs. The proposed theory extends the existing SDS theory substantially to cover a wide class of beam stiffened plate structures used in train bodies, ship hulls, aircraft fuselage and wings and many others.

Publication Type: Article
Additional Information: © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publisher Keywords: Spectral dynamic stiffness method, Beam stiffened plates, Closed-section and open-section beam stiffeners, Arbitrary boundary conditions, Wittrick-Williams algorithm
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology > Engineering
[thumbnail of Journal paper 125-accepted version.pdf]
Text - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

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