Modal Interactions in Dynamical and Structural Systems

DOI10.1115/1.3152389zbMath0755.70023OpenAlexW2009308008MaRDI QIDQ4017326

Balakumar Balachandran, Ali Hasan Nayfeh

Publication date: 16 January 1993

Published in: Applied Mechanics Reviews (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3152389

zbMATH Keywords

shells rings ships surface waves nonlinear response arches quadratic nonlinearities pendulums autoparametric resonances beams structures

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear resonances for nonlinear problems in mechanics (70K30) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (33)

Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance ⋮ Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances ⋮ Global dynamics of an autoparametric spring-mass-pendulum system ⋮ Stability and control of transversal oscillations of a tethered satellite system ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Amplitude modulated dynamics and bifurcations in the resonant response of a structure with cyclic symmetry ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities ⋮ Delayed saturation controller for vibration suppression in a stainless-steel beam ⋮ Preservation of adiabatic invariants for disturbed Hamiltonian systems under variational discretization ⋮ Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS ⋮ Three-mode interaction in harmonically excited system with cubic nonlinearities. ⋮ Nonlinear coupled dynamics of suspended cables due to crossover points shifting and symmetry breaking ⋮ Nonlinear vibrations of a shell-shaped workpiece during high-speed milling process ⋮ Nonlinear forced vibration of a viscoelastic buckled beam with 2 : 1 internal resonance ⋮ The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay ⋮ Non-Stationary Responses in Externally Excited Two-Degrees-of-Freedom Nonlinear Systems with 1: 2 Internal Resonance ⋮ Nonstationary nonplanar free motions of an orbiting string with multiple internal resonances ⋮ Time-delayed positive position feedback control of nonlinear vibrations of continuous rotating shafts ⋮ Non-linear oscillations of a thin-walled composite beam with shear deformation ⋮ Analysis of internal resonance in a two-degree-of-freedom nonlinear dynamical system ⋮ THE FORCED CHAOTIC AND IRREGULAR OSCILLATIONS OF THE NONLINEAR TWO DEGREES OF FREEDOM (2DOF) SYSTEM ⋮ Extended complexification method to study nonlinear passive control ⋮ Non-resonant and resonant chaotic dynamics in externally excited cyclic systems ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material ⋮ Stabilization control and motion control for some mechanical systems by using bifurcation control ⋮ Nonlinear free vibration analysis of Timoshenko nanobeams with surface energy ⋮ Dynamics regularization with tree-like structures ⋮ The fractional derivative expansion method in nonlinear dynamic analysis of structures ⋮ Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation ⋮ Nonlinear vibrations of circular cylindrical shells with thermal effects: an experimental study ⋮ Mitigation of structural vibrations by hysteretic oscillators in internal resonance ⋮ A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of $$\varepsilon $$ ⋮ A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

This page was built for publication: Modal Interactions in Dynamical and Structural Systems