Analysis of an abstract mixed formulation for viscoelastic problems [PDF]
arXiv, 2021 This study provides an abstract framework to analyze mixed formulations in viscoelasticity, in the classic saddle point form. Standard hypothesis for mixed methods are adapted to the Volterra type equations in order to obtain stability of the proposed problem. Error estimates are derived for suitable finite element spaces. We apply the developed theory
arxiv
Dynamic modeling of double-helical gear with Timoshenko beam theory and experiment verification
, 2016 In the dynamic study of the double-helical gear transmission, the coupling shaft in the middle of the two helical gears is difficult to be handled accurately.
Jincheng Dong +3 more
semanticscholar +1 more source
Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams
Latin American Journal of Solids and StructuresThe present paper addresses free vibration of multiple cracked Timoshenko beams made of Functionally Graded Material (FGM). Cracks are modeled by rotational spring of stiffness calculated from the crack depth and material properties vary according to the
Tran Van Lien +2 more
doaj +1 more source
A mixed parameter formulation with applications to linear viscoelasticity [PDF]
arXiv, 2020 In this work we propose and analyze an abstract parameter dependent model written as a mixed variational formulation based on Volterra integrals of second kind. For the analysis, we consider a suitable adaptation to the classic mixed theory in the Volterra equations setting, and prove the well posedness of the resulting mixed viscoelastic formulation ...
arxiv
Comparison of 1D and 2D solutions for a beam under transverse impact
MATEC Web of Conferences, 2018 The problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work. In particular, two different approaches to the derivation of analytical solution of the problem are compared. The first one is based
Adámek Vítězslav
doaj +1 more source
Non uniform stability for the Timoshenko beam with tip load [PDF]
arXiv, 2015 In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. Under the equal speed wave propagation condition, we show polynomial decay for the model which includes the rotary inertia of the tip load when feedback boundary moment and force controls are applied at the point of contact ...
arxiv
On the application of polynomial and NURBS functions for nonlocal response of low dimensional structures [PDF]
arXiv, 2012 In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate theory, respectively, using Eringen's nonlocal elasticity theory is numerically studied.
arxiv
An improved bond-based peridynamic model based on Timoshenko beam theory [PDF]
, 2021 Xizhuo Chen +4 more
openalex +1 more source
General Decay in some Timoshenko-type systems with thermoelasticity second sound [PDF]
arXiv, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of Timoshenko solution using the semi-group theory. Moreover, we etablish an explicit and general decay results for a wide class of relaxating functions which depend on a stability number $\mu$.
arxiv
Further Insights Into the Timoshenko-Ehrenfest Beam Theory [PDF]
, 2022 J.R. Banerjee +2 more
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