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On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1670130106openalex-snapshot
A one‐dimensional dynamic contact problem in linear viscoelasticity
inferredcites →https://doi.org/10.1007/978-3-0348-7303-1_14openalex-snapshot
Quasi-Static Signorini’s Contact Problem with Friction and Duality
inferredcites →https://doi.org/10.1007/978-3-0348-7303-1_8openalex-snapshot
A Global Existence Result for the Quasistatic Frictional Contact Problem with Normal Compliance
inferredcites →https://doi.org/10.1007/978-3-642-65161-8openalex-snapshot
Non-Homogeneous Boundary Value Problems and Applications
inferredcites →https://doi.org/10.1007/978-3-642-65393-3openalex-snapshot
Non-Homogeneous Boundary Value Problems and Applications
inferredcites →https://doi.org/10.1007/978-3-642-66165-5openalex-snapshot
Inequalities in Mechanics and Physics
inferredcites →https://doi.org/10.1007/978-3-7091-2624-0_6openalex-snapshot
Topics on Unilateral Contact Problems of Elasticity and Inelasticity
inferredcites →https://doi.org/10.1016/0016-0032(56)91150-4openalex-snapshot
Theory of ordinary differential equations
inferredcites →https://doi.org/10.1016/0020-7225(88)90032-8openalex-snapshot
Frictional contact problems with normal compliance
inferredcites →https://doi.org/10.1016/0020-7683(84)90021-0openalex-snapshot
A theory of friction
inferredcites →https://doi.org/10.1016/0022-0396(84)90030-5openalex-snapshot
A wave problem in a half-space with a unilateral constraint at the boundary
inferredcites →https://doi.org/10.1016/0045-7825(85)90009-xopenalex-snapshot
Models and computational methods for dynamic friction phenomena
inferredcites →https://doi.org/10.1016/0045-7825(93)90122-eopenalex-snapshot
Thermoelastic frictional contact problems: Modelling, finite element approximation and numerical realization
inferredcites →https://doi.org/10.1016/0362-546x(87)90055-1openalex-snapshot
Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
inferredcites →https://doi.org/10.1016/0362-546x(89)90050-3openalex-snapshot
Dynamics and control of viscoelastic solids with contact and friction effects
inferredcites →https://doi.org/10.1016/0362-546x(91)90035-yopenalex-snapshot
A quasistatic frictional problem with normal compliance
inferredcites →https://doi.org/10.1063/1.3059875openalex-snapshot
Theory of Ordinary Differential Equations
inferredcites →https://doi.org/10.1080/03605308908820640openalex-snapshot
A boundary thin obstacle problem for a wave equation
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/s0025-5718-1989-0969491-5openalex-snapshot
Numerical Approximation of a Wave Equation with Unilateral Constraints
inferredcites →https://doi.org/10.1112/blms/15.6.614openalex-snapshot
INTRODUCTION TO THE THEORY OF DISTRIBUTIONS
inferredcites →https://doi.org/10.1115/1.3167019openalex-snapshot
Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity
inferredcites →https://doi.org/10.1115/1.3424078openalex-snapshot
Inequalities in Mechanics and Physics
inferredcites →https://doi.org/10.1137/1.9781611970845openalex-snapshot
Contact Problems in Elasticity
inferredcites →https://doi.org/10.21136/cmj.1983.101875openalex-snapshot
Contact problems with bounded friction. Coercive case
inferredcites →https://doi.org/10.21136/cmj.1984.101988openalex-snapshot
Contact problems with bounded friction. Semicoercive case
inferredcites →https://doi.org/10.5802/aif.232openalex-snapshot
Espaces d'interpolation et théorème de Soboleff

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/zamm.201600070openalex-snapshot
A contact problem of a thermoelastic rod with voids and microtemperatures
inferred← citeshttps://doi.org/10.1006/jmaa.1997.5737openalex-snapshot
A Quasistatic Contact Problem for an Elastoplastic Rod
inferred← citeshttps://doi.org/10.1006/jmaa.1999.6652openalex-snapshot
Frictional Wear of a Thermoelastic Beam
inferred← citeshttps://doi.org/10.1007/978-1-4613-0287-2_21openalex-snapshot
A Survey of 1-D Problems of Dynamic Contact or Damage
inferred← citeshttps://doi.org/10.1007/978-1-4615-1983-6_8openalex-snapshot
Dynamic Evolution of an Elastic Beam in Frictional Contact with an Obstacle
inferred← citeshttps://doi.org/10.1007/978-1-4615-5829-3_3openalex-snapshot
Convex Superpotential Problems. Variational Equalities and Inequalities
inferred← citeshttps://doi.org/10.1007/978-3-540-34288-5_109openalex-snapshot
A Dynamic Frictional Contact Problem of a Viscoelastic Beam
inferred← citeshttps://doi.org/10.1007/s00033-014-0481-yopenalex-snapshot
A contact problem for a thermoelastic Timoshenko beam
inferred← citeshttps://doi.org/10.1007/s00033-020-01437-yopenalex-snapshot
Stability for a boundary contact problem in thermoelastic Timoshenko’s beam
inferred← citeshttps://doi.org/10.1007/s00033-021-01632-5openalex-snapshot
Dynamic frictional thermoviscoelastic Gao beams
inferred← citeshttps://doi.org/10.1007/s00245-023-10038-wopenalex-snapshot
Stability to Signorini Problem with Pointwise Damping
inferred← citeshttps://doi.org/10.1007/s10958-025-07602-wopenalex-snapshot
MODELING THE RAILWAY TRACK BALLAST BEHAVIOR WITH HYPOPLASTICITY
inferred← citeshttps://doi.org/10.1007/s11012-025-01995-3openalex-snapshot
A coefficient of restitution based approach to model spatial vibro-impact dynamics in continuous systems
inferred← citeshttps://doi.org/10.1007/s40314-025-03083-4openalex-snapshot
Numerical analysis for a dissipative hyperbolic system with a boundary constraints
inferred← citeshttps://doi.org/10.1007/s44198-025-00358-6openalex-snapshot
Dynamic Contact Response of a Thermo-Viscoelastic Rod with Damping Effects
inferred← citeshttps://doi.org/10.1016/j.amc.2011.12.069openalex-snapshot
A viscoelastic Timoshenko beam with Coulomb law of friction
inferred← citeshttps://doi.org/10.1016/j.apm.2023.05.037openalex-snapshot
Existence of solution and uniform decay for a contact problem in laminated beam
inferred← citeshttps://doi.org/10.1016/j.apnum.2006.07.033openalex-snapshot
A vibrating string with dynamic frictionless impact
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2010.09.001openalex-snapshot
Torsion of a fiber reinforced hyperelastic cylinder for which the fibers can undergo dissolution and reassembly
inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.04.003openalex-snapshot
Global existence and exponential stability for a contact problem between two thermoelastic beams
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.10.022openalex-snapshot
The hybrid-penalized method for the Timoshenko's beam
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127637openalex-snapshot
Global existence and asymptotic behavior for a semilinear Bresse beam model with boundary constraints
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104440openalex-snapshot
Dynamic contact of a beam–rod system with Signorini typed contact conditions and thermal effects
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00384-3openalex-snapshot
Models and simulations of dynamic frictional contact of a beam
inferred← citeshttps://doi.org/10.1016/s0378-4754(02)00003-4openalex-snapshot
Vibrations of a beam between stops: numerical simulations and comparison of several numerical schemes
inferred← citeshttps://doi.org/10.1016/s0895-7177(01)00068-1openalex-snapshot
Unilateral dynamic contact of two beams
inferred← citeshttps://doi.org/10.1023/a:1025599332143openalex-snapshot
Analysis and simulations of vibrations of a beam with a slider
inferred← citeshttps://doi.org/10.1051/m2an/2021015openalex-snapshot
Analysis of a contact problem for a viscoelastic Bresse system
inferred← citeshttps://doi.org/10.1051/m2an:2006019openalex-snapshot
Dynamic frictional contact of a viscoelastic beam
inferred← citeshttps://doi.org/10.1061/(asce)em.1943-7889.0001175openalex-snapshot
Fast In-Plane Dynamics of a Beam with Unilateral Constraints
inferred← citeshttps://doi.org/10.1061/jsendh.steng-11309openalex-snapshot
Damage Detection of Composite Beams via Variational Mode Decomposition of Shear-Slip Data
inferred← citeshttps://doi.org/10.1080/00036811.2021.1901887openalex-snapshot
Nonlinear thermoviscoelastic Timoshenko beams with dynamic frictional contact
inferred← citeshttps://doi.org/10.1080/01495730801978208openalex-snapshot
Exponential Decay for a Thermoelastic Beam Between two Stops
inferred← citeshttps://doi.org/10.1080/01495739.2017.1422998openalex-snapshot
Analysis of contact problems of porous thermoelastic solids
inferred← citeshttps://doi.org/10.1080/01630560701587759openalex-snapshot
An Euler–Bernoulli Beam with Dynamic Frictionless Contact: Penalty Approximation and Existence
inferred← citeshttps://doi.org/10.1090/s0033-569x-09-01161-8openalex-snapshot
Energy balance for viscoelastic bodies in frictionless contact
inferred← citeshttps://doi.org/10.1090/s0033-569x-2011-01237-7openalex-snapshot
Unilateral dynamic contact of two viscoelastic beams
inferred← citeshttps://doi.org/10.1137/s0036141004444664openalex-snapshot
Existence of Solutions for a Class of Impact Problems Without Viscosity
inferred← citeshttps://doi.org/10.20944/preprints201702.0038.v1openalex-snapshot
Global Existence and Exponential Decay for a Dynamic Contact Problem of Thermoelastic Timoshenko Beam with Second Sound
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Global Existence and Exponential Decay for a Dynamic Contact Problem of Thermoelastic Timoshenko Beam with Second Sound
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Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load
inferred← citeshttps://doi.org/10.3934/eect.2013.2.35openalex-snapshot
Vibrations of a damped extensible beam between two stops
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Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation
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On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
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