Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
From MaRDI portal
Publication:959003
zbMath1170.70001MaRDI QIDQ959003
Alexander F. Vakakis, Lawrence A. Bergman, Gaëtan Kerschen, Young Sup Lee, D. Michael McFarland, Oleg V. Gendelman
Publication date: 10 December 2008
Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)
Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Control of mechanical systems (70Q05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Control/observation systems governed by ordinary differential equations (93C15) Thin bodies, structures (74Kxx) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
Related Items (97)
Thermodynamic temperature in linear and nonlinear Hamiltonian systems ⋮ On the contribution of Angelo Luongo to mechanics: in honor of his 60th birthday ⋮ On the effectiveness of a rod-like distributed piezoelectric controller in preventing the Hopf bifurcation of the visco-elastic Beck's beam ⋮ Nonlinear energy sink to control elastic strings: the internal resonance case ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems' ⋮ Passive nonlinear targeted energy transfer ⋮ Emergence of non-stationary regimes in one- and two-dimensional models with internal rotators ⋮ Forced oscillations of the string under conditions of ‘sonic vacuum’ ⋮ A paradigmatic system to study the transition from zero/Hopf to double-zero/Hopf bifurcation ⋮ Nonlinear vibration analysis of a flexible rotor shaft with a longitudinally dispositioned unbalanced rigid disc ⋮ Experimental study on hybrid control of multimodal cable vibrations ⋮ Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink ⋮ Analysis of the 1:1 resonant energy exchanges between coupled oscillators with rheologies ⋮ Piezoelectric control of the Hopf bifurcation of Ziegler's column with nonlinear damping ⋮ Postcritical behavior of a discrete Nicolai column ⋮ Nonlinear targeted energy transfer and macroscopic analog of the quantum Landau-Zener effect in coupled granular chains ⋮ The energy thresholds of nonlinear vibration absorbers ⋮ Response regimes in forced system with non-linear energy sink: quasi-periodic and random forcing ⋮ Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance ⋮ Vertical vibration control using nonlinear energy sink with inertial amplifier ⋮ 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 ⋮ Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. II. Low energy excitations and unidirectional energy transport ⋮ Dynamic shimmy behavior and bifurcation analysis of driver-vehicle-road system ⋮ Relaxation oscillations, subharmonic orbits and chaos in the dynamics of a linear lattice with a local essentially nonlinear attachment ⋮ Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators ⋮ Vibration suppression of a linear oscillator by a chain of nonlinear vibration absorbers with geometrically nonlinear damping ⋮ Fractional nonlinear energy sinks ⋮ Nonreciprocity of energy transfer in a nonlinear asymmetric oscillator system with various vibration states ⋮ Rapid non-resonant intermodal targeted energy transfer (IMTET) caused by vibro-impact nonlinearity ⋮ Measuring the criticality of a Hopf bifurcation ⋮ Dynamics of a hybrid vibro‐impact nonlinear energy sink ⋮ Torsional vibration suppression of rotor systems using a rubber-based nonlinear energy sink ⋮ Response enhancement in an oscillator chain ⋮ Complex dynamics of a harmonically excited structure coupled with a nonlinear energy sink ⋮ Vibratory control of a linear system by addition of a chain of nonlinear oscillators ⋮ 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 ⋮ Beats in the system of three non-linear oscillators and their quantum analog ⋮ On energy transfer phenomena, in a nonlinear ideal and nonideal essential vibrating systems, coupled to a (MR) magneto-rheological damper ⋮ Complexification-averaging method via the averaged Lagrangian ⋮ Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink ⋮ Nonlinear energy harvester with coupled Duffing oscillators ⋮ Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks ⋮ Vibration mitigation of a pipe conveying fluid with a passive geometrically nonlinear absorber: a tuning optimal design ⋮ Analytical Approach to a Two-Module Vibro-Impact System ⋮ A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity ⋮ Nonlinear control in an electromechanical transducer with chaotic behaviour ⋮ Dynamical behavior of a Bouc-Wen type oscillator coupled to a nonlinear energy sink ⋮ Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment ⋮ The effect of slow invariant manifold and slow flow dynamics on the energy transfer and dissipation of a singular damped system with an essential nonlinear attachment ⋮ On the failure of the `similar piezoelectric control' in preventing loss of stability by nonconservative positional forces ⋮ Targeted Nonlinear Energy Transfer for Electroacoustic Absorbers ⋮ Energy Transport and Localization in Weakly Dissipative Resonant Chains ⋮ The three-hinged arch as an example of piezomechanic passive controlled structure ⋮ Exact model reduction by a slow-fast decomposition of nonlinear mechanical systems ⋮ Conditions for the existence of isolated backbone curves ⋮ Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation ⋮ A principle of similarity for nonlinear vibration absorbers ⋮ Limiting phase trajectories and resonance energy transfer in a system of two coupled oscillators ⋮ The transmissibility of nonlinear energy sink based on nonlinear output frequency-response functions ⋮ Bifurcations of attractors in forced system with nonlinear energy sink: the effect of mass asymmetry ⋮ Extended complexification method to study nonlinear passive control ⋮ Two-dimensional nonlinear energy sink for effective passive seismic mitigation ⋮ Modelling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment ⋮ Localization in Finite Asymmetric Vibro-Impact Chains ⋮ Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems ⋮ A study on torsional vibration attenuation in automotive drivetrains using absorbers with smooth and non-smooth nonlinearities ⋮ Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential ⋮ 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 ⋮ Nonlinear energy sink to control vibrations of an internally nonresonant elastic string ⋮ Energy exchange and localization in the planar motion of a weightless beam carrying two discrete masses ⋮ Response regimes of a linear oscillator with a nonlinear energy sink involving an active damper with delay ⋮ Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh's legacy ⋮ Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow ⋮ Unidirectional energy transport in the symmetric system of non-linearly coupled oscillators and oscillatory chains ⋮ Frequency-energy plots of steady-state solutions for forced and damped systems, and vibration isolation by nonlinear mode localization ⋮ Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach ⋮ Existence of nonlinear normal modes for coupled nonlinear oscillators ⋮ Effect of an internal nonlinear rotational dissipative element on vortex shedding and vortex-induced vibration of a sprung circular cylinder ⋮ Efficiency of a Three-Particle Energy Sink: Experimental Study and Numerical Simulation ⋮ A comparison of the common types of nonlinear energy sinks ⋮ Stability of steady states with complex behavior in time ⋮ Targeted energy transfer in stochastically excited system with nonlinear energy sink ⋮ A study on the coefficient of restitution effect on single-sided vibro-impact nonlinear energy sink ⋮ Robust optimization of nonlinear energy sinks used for mitigation of friction-induced limit cycle oscillations ⋮ Design and modeling of the CVT for adjustable inerter ⋮ An intriguing analogy of Kolmogorov's scaling law in a hierarchical mass-spring-damper model ⋮ A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression ⋮ Resonance-Induced Energy Localization in Weakly Dissipative Anharmonic Chains ⋮ Highly efficient nonlinear energy sink ⋮ Hamiltonian dynamics and targeted energy transfer of a grounded bistable nonlinear energy sink ⋮ Dynamics of a hybrid cubic vibro-impact oscillator and nonlinear energy sink ⋮ Detection of different dynamics of two coupled oscillators including a time-dependent cubic nonlinearity
This page was built for publication: Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
