Abstract
Based on Mindlin plate theory, Timoshenko beam theory and Bloch’s theorem, an improved finite element model for periodic stiffened plate structures with any number or orientation of stiffeners is developed to describe the propagation of elastic waves in the periodic structures undergoing flexural vibration. Using the finite element model, the flexural vibration band gaps of a periodic grid structure and several periodic stiffened plate structures with different skin thicknesses are compared and analyzed. The results indicate that the vibration coupling between the skin and the stiffeners influences the formation of flexural vibration band gaps. DOI: http://dx.doi.org/10.5755/j01.mech.18.2.1557
Highlights
Due to their high rigidity-to-weight ratio and economical cost, stiffened plate and shell structures are used extensively in various engineering applications such as bridges, ship hulls and decks, and aircraft structures
In the past few decades, many researchers have discussed the performance of stiffened plates under dynamic loading, which may lead to a wide implementation in the field of vibration and noise control
In order to compare with the flexural vibration band gap characteristics of periodic stiffened plate structures, it is necessary to analyse the characteristics of periodic grid structures
Summary
Due to their high rigidity-to-weight ratio and economical cost, stiffened plate and shell structures are used extensively in various engineering applications such as bridges, ship hulls and decks, and aircraft structures. Vibration band gaps in periodic beam [5], grid [6, 7], and plate [8] structures have been researched These studies are theoretically significant, but the structures studied are less practical than those structures widely used in engineering, such as stiffened plate structures. Mead et al [10] modelled the beams as simple line supports and analysed free vibration of an orthogonally stiffened flat plate Later, they [11, 12] determined the propagation frequencies of elastic waves by computing phase constant surfaces for a number of different cylinder-stiffener configurations.
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