Classical Vibration Analysis of Axially Moving Continua
From MaRDI portal
Publication:3212504
DOI10.1115/1.2897085zbMath0724.73125OpenAlexW2135919740MaRDI QIDQ3212504
C. D. jun. Mote, Jonathan A. Wickert
Publication date: 1990
Published in: Journal of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1115/1.2897085
modal analysisinitial conditionssymmetricdivergence instabilitytraveling beamtraveling stringGreen function methodexact closed-form expressionsgyroscopicband saw bladesCoriolis acceleration componenthigh-speed magnetic tapesresponses to arbitrary excitationskew- symmetric differential operator
Related Items (98)
Transient modelling of flexible belt drive dynamics using the equations of a deformable string with discontinuities ⋮ Dynamics of traveling, inextensible cables ⋮ Nonlinear vibrations of an axially moving viscoelastic web with time-dependent tension ⋮ Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type ⋮ Stability of an axially moving viscoelastic beam ⋮ Effect of stress-softening on the ballooning motion of hyperelastic strings ⋮ Transversal forced vibrations of an axially moving sandwich belt system ⋮ Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity ⋮ Transverse vibration of viscoelastic sandwich beam with time-dependent axial tension and axially varying moving velocity ⋮ On moving continua with contacts and sliding friction: modeling, general properties and examples ⋮ A discrete approach for a generalized Beck's column in parametric resonance ⋮ Dynamic modeling of taut strings carrying a traveling mass ⋮ On transversal vibrations of an axially moving string with a time-varying velocity ⋮ Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations ⋮ Stability analysis and numerical confirmation in parametric resonance of axially moving viscoelastic plates with time-dependent speed ⋮ Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm ⋮ Nonlinear vibrations of spring-supported axially moving string ⋮ Absorbing boundary layer control for linear one-dimensional wave propagation problems ⋮ Modelling and passive control of flexible guiding hoisting system with time-varying length ⋮ Stability transitions of an axially moving string subjected to a distributed follower force ⋮ Vibration and stability of an axially moving viscoelastic beam with hybrid supports ⋮ Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance ⋮ Thermal and tensile loading effects on size-dependent vibration response of traveling nanobeam by wavelet-based spectral element modeling ⋮ Approximate and numerical analysis of nonlinear forced vibration of axially moving viscoelastic beams ⋮ Nonlinear dynamic response of axially moving, stretched viscoelastic strings ⋮ Dynamic and stability of harmonic driving flexible Cartesian robotic arm with bolted joints based on the sensitivity and multiple scales method ⋮ Nonlinear dynamics for transverse motion of axially moving strings ⋮ Adaptive stabilization of a Kirchhoff moving string ⋮ Nonlinear dynamics of high-dimensional models of in-plane and out-of-plane vibration in an axially moving viscoelastic beam ⋮ A Lagrange-Eulerian formulation of an axially moving beam based on the absolute nodal coordinate formulation ⋮ Dynamic analysis of an axially translating viscoelastic beam with an arbitrarily varying length ⋮ Stabilization of a nonlinear Kirchhoff equation by boundary feedback control ⋮ Eigenvalue and stability analysis for transverse vibrations of axially moving strings based on Hamiltonian dynamics ⋮ Dynamic analysis of an axially translating plate with time-variant length ⋮ Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane ⋮ Stability in parametric resonance of an axially moving beam constituted by fractional order material ⋮ Three-dimensional nonlinear planar dynamics of an axially moving Timoshenko beam ⋮ HIGHER-DIMENSIONAL PERIODIC AND CHAOTIC OSCILLATIONS FOR VISCOELASTIC MOVING BELT WITH MULTIPLE INTERNAL RESONANCES ⋮ Closed-form steady-state solutions for forced vibration of second-order axially moving systems ⋮ On the effects of damping on the dynamics of axially moving spatially periodic strings ⋮ On stabilization of an axially moving string with a tip mass subject to an unbounded disturbance ⋮ Free vibrations of axially moving strings: Energy estimates and boundary observability ⋮ Adaptive boundary stabilization of a nonlinear axially moving string ⋮ Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method ⋮ Two-dimensional rheological element in modelling of axially moving viscoelastic web ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Divergence and flutter instabilities of nanobeams in moving state accounting for surface and shear effects ⋮ Dynamics of axially accelerating beams with multiple supports ⋮ Stabilization analysis of a generalized nonlinear axially moving string by boundary velocity feedback ⋮ Tilted guides with friction in web conveyance systems ⋮ Dynamic stability of axially moving viscoelastic beams with pulsating speed ⋮ Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string ⋮ Dynamics modeling for a rigid-flexible coupling system with nonlinear deformation field ⋮ Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control ⋮ Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type ⋮ Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach ⋮ A dynamic analysis of a coupled beam/slider system ⋮ Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions ⋮ Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations ⋮ Complex modes and traveling waves in axially moving Timoshenko beams ⋮ Analytical analysis on nonlinear parametric vibration of an axially moving string with fractional viscoelastic damping ⋮ Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration ⋮ Traveling waves along viscous filaments ⋮ Asymptotic analysis of axially accelerating viscoelastic strings ⋮ Simulations of transverse vibrations of an axially moving string: a modified difference approach ⋮ Nonlinear transverse vibration of axially accelerating strings with exact internal resonances and longitudinally varying tensions ⋮ Natural frequencies of nonlinear vibration of axially moving beams ⋮ Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well ⋮ Dynamic stability of an axially accelerating viscoelastic beam ⋮ Principal parametric resonance of axially accelerating viscoelastic strings with an integral constitutive law ⋮ Principal parametric resonances of a general continuous system with cubic nonlinearities ⋮ Determination of the natural frequencies of axially moving beams by the method of multiple scales ⋮ Nonlinear dynamical analysis of axially moving viscoelastic strings ⋮ Nonlinear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model ⋮ On modeling and simulation of tethered systems with sharp, rough contacts ⋮ Asymptotic analysis on nonlinear vibration of axially accelerating viscoelastic strings with the standard linear solid model ⋮ On the instability of an axially moving elastic plate ⋮ Modeling and analysis of an axially acceleration beam based on a higher order beam theory ⋮ Dynamics of a beam with both axial moving and spinning motion: an example of bi-gyroscopic continua ⋮ GLOBAL ANALYSIS AND CHAOTIC DYNAMICS OF SIX-DIMENSIONAL NONLINEAR SYSTEM FOR AN AXIALLY MOVING VISCOELASTIC BELT ⋮ Parametric resonances of convection belt system ⋮ DYNAMIC STABILITY OF AN AXIALLY ACCELERATING VISCOELASTIC BEAM WITH TWO FIXED SUPPORTS ⋮ Non-linearly parametric resonances of an axially moving viscoelastic sandwich beam with time-dependent velocity ⋮ Study on vibration and stability of an axially translating viscoelastic Timoshenko beam: non-transforming spectral element analysis ⋮ A dynamic beam model for the motility of \textit{Listeria monocytogenes} ⋮ Delay effects in shimmy dynamics of wheels with stretched string-like tyres ⋮ Absolute stability of the axially moving Kirchhoff string with a sector boundary feedback control ⋮ Transversal vibrations of the axially moving sandwich belts ⋮ Vibration of axially moving hyperelastic beam with finite deformation ⋮ Safety Analysis and Optimization of Travelling Webs Subjected to Fracture and Instability ⋮ Dynamic Behaviour of a Travelling Viscoelastic Band in Contact with Rollers ⋮ Vibration Modes of an Axially Moving Double Belt System with Creep Layer ⋮ Moment Lyapunov exponents and stochastic stability of moving narrow bands ⋮ Steady-state responses and their stability of nonlinear vibration of an axially accelerating string ⋮ Control of an axially moving viscoelastic Kirchhoff string ⋮ Primary and secondary resonance responses of fractional viscoelastic PET membranes ⋮ Two-to-One Internal Resonance in Serpentine Belt Drive Systems ⋮ Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt
This page was built for publication: Classical Vibration Analysis of Axially Moving Continua