Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mechanica"
DOI: 10.1007/s00707-017-1890-8
Abstract: This paper deals with the exact calculation of natural frequencies of a plate with two opposite edges simply supported considering three versions of the Uflyand–Mindlin plate theory: the original Uflyand–Mindlin plate theory, the truncated version… read more here.
Keywords: mindlin plate; vibration analysis; plate theory; free vibration ... See more keywords
Accurate Eigenvector-based generation and computational insights of Mindlin's plate modeshapes for twin frequencies
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2017.01.044
Abstract: Abstract A semi-analytical approach to understand the manifestation of plate modeshapes associated with twin frequencies has been presented. Square Mindlin’s plate, clamped on all sides, has been considered here. It highlights the importance of efficacy… read more here.
Keywords: nodal patterns; mindlin plate; plate modeshapes; accurate eigenvector ... See more keywords
Nonlinear vibration of cracked rectangular Mindlin plate with in-plane preload
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2020.115437
Abstract: Abstract In this paper, the nonlinear vibration of a Mindlin plate with a side crack is investigated considering an in-plane preload. Special corner functions are incorporated into the admissible functions of displacements to describe the… read more here.
Keywords: mindlin plate; plane preload; vibration; preload ... See more keywords
Effect of rotationally restrained and Pasternak foundation on buckling of an orthotropic rectangular Mindlin plate
Sign Up to like & getrecommendations! Published in 2018 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2017.1285461
Abstract: ABSTRACT This article, based on first-order shear deformation theory, presents the buckling analysis of a rotationally restrained orthotropic rectangular Mindlin plate resting on a Pasternak elastic foundation. Thus, the Mindlin–Reissner plate theory is employed for… read more here.
Keywords: rotationally restrained; mindlin plate; rectangular mindlin; foundation ... See more keywords
Comparative study of 2D Mindlin plate and 3D elasticity theory for free vibration analysis of functionally graded piezoelectric nanoplates using Legendre polynomial method
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Structural Stability and Dynamics"
DOI: 10.1142/s0219455427501136
Abstract: Abstracts A new comparative study about two-dimensional (2D) nonlocal Mindlin plate and three-dimensional (3D) nonlocal elasticity theory coupled with Legendre polynomial method are developed for free vibration analysis of functionally graded piezoelectric (FGP) nanoplates. In… read more here.
Keywords: legendre polynomial; method; mindlin plate; comparative study ... See more keywords
Equilibrium-Based Finite Element Analysis of the Reissner–Mindlin Plate Bending Problem
Sign Up to like & getrecommendations! Published in 2025 at "Materials"
DOI: 10.3390/ma18214969
Abstract: A stress-based finite element approach to the Reissner–Mindlin plate bending problem is proposed. The rectangular Bogner–Fox–Schmit and triangular Hsieh–Clough–Tocher elements are applied to approximate the Southwell stress function describing the statically admissible stress field in… read more here.
Keywords: reissner mindlin; plate bending; plate; finite element ... See more keywords