Normal Modes of Vibration for Non-Linear Continuous Systems

From MaRDI portal
Publication:4237601

DOI10.1006/jsvi.1994.1021zbMath0925.73439OpenAlexW2031242409MaRDI QIDQ4237601

Christophe Pierre, Steven W. Shaw

Publication date: 26 July 1999

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.1994.1021



Related Items

An invariant manifold approach to nonlinear normal modes of oscillation, Asymptotic construction of nonlinear normal modes for continuous systems, A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system, Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure, Global dynamics of a flexible asymmetrical rotor, Cable's mode interactions under vertical support motions: boundary resonant modulation, Finite-Element-Based Nonlinear Modal Reduction of a Rotating Beam with Large-Amplitude Motion, Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations, Application of homotopy-perturbation to non-linear partial differential equations, Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction, The use of normal forms for analysing nonlinear mechanical vibrations, Invariant spectral foliations with applications to model order reduction and synthesis, Asynchronous modes of vibrations in linear conservative systems: an illustrative discussion of plane framed structures, Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework, COMPETITIVE MODES AND THEIR APPLICATION, Data-driven reduced order models using invariant foliations, manifolds and autoencoders, Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method, Semianalytical solutions of relative motions with applications to periodic orbits about a nominal circular orbit, Asynchronous Modes of Beams on Elastic Media Subjected to Varying Normal Force: Continuous and Discrete Models, Nonlinear analysis and experimental investigation of a rigid-flexible antenna system, Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy, Numerical computation of periodic responses of nonlinear large-scale systems by shooting method, Component mode synthesis using nonlinear normal modes, Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes., Rigorous model reduction for a damped-forced nonlinear beam model: an infinite-dimensional analysis, Theoretical development and closed-form solution of nonlinear vibrations of a directly excited nanotube-reinforced composite cantilevered beam, Polynomial expansions of single-mode motions around equilibrium points in the circular restricted three-body problem, Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations, Energy harvesting in a slender-rod model with modal asynchronicity, Analytic prediction of isolated forced response curves from spectral submanifolds, 4 Modal methods for reduced order modeling, Modal decoupling using the method of weighted residuals for the nonlinear elastic dynamics of a clamped laminated composite, Invariant submanifolds and modes of nonlinear autonomous systems, Methods to reduce nonlinear mechanical systems for instability computation, Model reduction of a cyclic symmetric structure exhibiting geometric nonlinearity with a normal form approach, STRONG AND WEAK RESONANCES IN DELAYED DIFFERENTIAL SYSTEMS, On Direct Methods for Constructing Nonlinear Normal Modes of Continuous Systems, Nonlinear Longitudinal Vibrations of a Rod