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http://dx.doi.org/10.7782/JKSR.2012.15.6.588

Semi-analytical Annular Mindlin Plate Element for Out-of-plane Vibration Analysis of Thick Disks  

Kim, Chang-Boo (Department of Mechanical Engineering, Inha University)
Cho, Hyeon Seok (Department of Mechanical Engineering, Inha University)
Beom, Hyeon Gyu (Department of Mechanical Engineering, Inha University)
Publication Information
Journal of the Korean Society for Railway / v.15, no.6, 2012 , pp. 588-596 More about this Journal
Abstract
This paper presents a new semi-analytical annular Mindlin plate element with which out-of-plane natural vibration of thick disks can be analyzed simply, efficiently, and accurately through FEM by including effects of rotary inertia and transverse shear deformation. Using static deformation modes which are exact solutions of equilibrium equations of annular Mindlin plate, the element interpolation functions, stiffness and mass matrices corresponding to each number of nodal diameters are derived. The element is capable of representing out-of-plane rigid-body motions exactly and free from shear locking. Natural frequencies of uniform and multi-step disks with or without concentric ring support are analyzed by applying the presented element. Such results are compared with theoretical predictions of previous works or FEA results obtained by using two-dimensional shell element to investigate the convergence and accuracy of the presented element.
Keywords
Annular Mindlin plate element; Out-of-plane vibration; Interpolation function; Natural frequency; FEM;
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