zbMath 0917.93001 MaRDI QID Q4229073
Valery N. Pilipchuk , Alexander F. Vakakis , Yu. V. Mikhlin , Alexandr A. Zevin , Leonid I. Manevitch
Publication date : 3 March 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
An asymptotic approach for large amplitude motions of generic nonlinear systems ⋮
Memories of Professor Leonid Manevitch ⋮
Nonlinear targeted energy transfer: state of the art and new perspectives ⋮
Energy exchange and transition to localization in the asymmetric Fermi-pasta-Ulam oscillatory chain ⋮
Nonlinear optical vibrations of single-walled carbon nanotubes. I: energy exchange and localization of low-frequency oscillations ⋮
Nonlinear Vibrations of a Delaminated Beam ⋮
Modal synchronization of coupled bistable van der Pol oscillators ⋮
The zone boundary mode in periodic nonlinear electrical lattices ⋮
Nonstationary energy localization vs conventional stationary localization in weakly coupled nonlinear oscillators ⋮
Contribution to efficiency of irreversible passive energy pumping with a strong nonlinear attachment ⋮
Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. I: Description of response regimes ⋮
Asymptotic construction of nonlinear normal modes for continuous systems ⋮
Transient mode localization in coupled strongly nonlinear exactly solvable oscillators ⋮
Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes ⋮
Nonlinear normal modes in homogeneous system with time delays ⋮
A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system ⋮
Analysis of forced vibrations by nonlinear modes ⋮
Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure ⋮
Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells ⋮
Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions ⋮
Order reduction of structural dynamic systems with static piecewise linear nonlinearities ⋮
Targeted energy transfers in vibro-impact oscillators for seismic mitigation ⋮
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Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT) ⋮
Limiting phase trajectories and energy exchange between anharmonic oscillator and external force ⋮
Amplitude-dependent attenuation of compressive waves in curved granular crystals constrained by elastic guides ⋮
Nonlinear modes of vibrations for simply supported cylindrical shell with geometrical nonlinearity ⋮
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Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems' ⋮
Transient dynamics in strongly nonlinear systems: optimization of initial conditions on the resonant manifold ⋮
Passive nonlinear targeted energy transfer ⋮
Emergence of non-stationary regimes in one- and two-dimensional models with internal rotators ⋮
Nonlinear normal modes in pendulum systems ⋮
Nonlinear oscillatory processes in wheeled vehicles ⋮
New approach to beating phenomenon in coupled nonlinear oscillatory chains ⋮
Vibration analog of a superradiant quantum transition ⋮
Resonant oscillations of a weakly coupled, nonlinear layered system ⋮
Response regimes in forced system with non-linear energy sink: quasi-periodic and random forcing ⋮
Vibration prediction of bladed disks coupled by friction joints ⋮
Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators ⋮
Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance ⋮
Transient and chaotic low-energy transfers in a system with bistable nonlinearity ⋮
Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. I. High energy pulsations and routes to energy localization ⋮
On interaction of vibrating beam with essentially nonlinear absorber ⋮
Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators ⋮
Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations ⋮
Primary wave transmission in systems of elastic rods with granular interfaces ⋮
Traveling waves in trimer granular lattice. I: Bifurcation structure of traveling waves in the unit-cell model ⋮
Essentially nonlinear vibration absorber in a parametrically excited system ⋮
Competitive energy transfer between a two degree-of-freedom dynamic system and an absorber with essential nonlinearity ⋮
Chaotic period-doubling and OGY control for the forced Duffing equation ⋮
Nonlinear normal modes and primary resonance of horizontally supported Jeffcott rotor ⋮
Stationary and non-stationary dynamics of discrete square membrane ⋮
Targeted energy transfer with parallel nonlinear energy sinks. I: Design theory and numerical results ⋮
Targeted energy transfer with parallel nonlinear energy sinks. II: Theory and experiments ⋮
Construction of homoclinic and heteroclinic trajectories in mechanical systems with several equilibrium positions. ⋮
On intense energy exchange and localization in periodic FPU dimer chains ⋮
Dynamic interactions of traveling waves propagating in a linear chain with an local essentially nonlinear attachment ⋮
Localization in nonlinear lattices. Proceedings of the workshop, Dresden, Germany, April 7--11, 1997 ⋮
Strongly modulated response in forced 2DOF oscillatory system with essential mass and potential asymmetry ⋮
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Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures ⋮
Nonlinear resonances of hysteretic oscillators ⋮
Non-iterative Rauscher method for 1-DOF system: a new approach to studying non-autonomous system via equivalent autonomous one ⋮
Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators ⋮
Limiting phase trajectories and resonance energy transfer in a system of two coupled oscillators ⋮
Improved continuous models for discrete media ⋮
Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law ⋮
Numerical computation of periodic responses of nonlinear large-scale systems by shooting method ⋮
Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium ⋮
Generation of accurate finite element models of nonlinear systems-application to an aeroplane-like structure ⋮
Energy pumping with various nonlinear structures: Numerical evidences ⋮
Dimension reduction of dynamical systems: methods, models, applications ⋮
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview ⋮
Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system ⋮
Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits ⋮
Dynamical interaction of an elastic system and a vibro-impact absorber ⋮
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment ⋮
A ``spring-mass model of tethered satellite systems: Properties of planar periodic motions ⋮ Localization in Finite Asymmetric Vibro-Impact Chains ⋮ Seismic base isolation by nonlinear mode localization ⋮ Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems ⋮ Reduced-order models for large-amplitude vibrations of shells including in-plane inertia ⋮ Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models ⋮ Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments ⋮ Bifurcations of nonlinear normal modes via the configuration domain and the time domain shooting methods ⋮ Flexural vibrations of nonlinearly elastic circular rings ⋮ Energy exchange and localization in the planar motion of a weightless beam carrying two discrete masses ⋮ Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh's legacy ⋮ Transient dynamics, damping, and mode coupling of nonlinear systems with internal resonances ⋮ On a localization phenomenon in two types of bio-inspired hierarchically organized oscillatory systems ⋮ Stochastic energy absorbers based on analogies with soft-wall billiards ⋮ Non-smooth Spatial and Temporal Substitutions in Impact Dynamics ⋮ Existence of nonlinear normal modes for coupled nonlinear oscillators ⋮ Stability of steady states with complex behavior in time ⋮ Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems ⋮ Localized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem ⋮ Transitions from localization to nonlocalization in strongly nonlinear damped oscillators ⋮ Adomian Decomposition Method Applied to Nonlinear Normal Modes of an Inertially Coupled Conservative System ⋮ The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system
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