The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
DOI10.1016/j.cma.2015.07.017zbMath1423.70052arXiv1604.05621OpenAlexW1027187813MaRDI QIDQ2631465
T. Detroux, Luc Masset, L. Renson, Gaëtan Kerschen
Publication date: 15 May 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.05621
Floquet exponentsquasiperiodic oscillationsharmonic balancedetached resonance curvescontinuation of periodic solutionsbifurcation detection and tracking
Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05)
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- A harmonic-based method for computing the stability of periodic solutions of dynamical systems
- A nonlinear study of a cracked rotor
- Computationally fast harmonic balance methods for unsteady aerodynamic predictions of helicopter rotors
- Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
- Fast Fourier nonlinear vibration analysis
- Computational formulation for periodic vibration of geometrically nonlinear structures. I: Theoretical background. II: Numerical strategy and examples
- Application of the harmonic balance method to ground moling machines operating in periodic regimes
- Numerical computation of periodic responses of nonlinear large-scale systems by shooting method
- Global resonance optimization analysis of nonlinear mechanical systems: application to the uncertainty quantification problems in rotor dynamics
- Multi-harmonic measurements and numerical simulations of nonlinear vibrations of a beam with non-ideal boundary conditions
- Galerkin's procedure for nonlinear periodic systems
- Alternating frequency/coefficient (AFC) technique in the trigonometric collocation method
- The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
- Practical bifurcation and stability analysis
- A dynamic Lagrangian frequency–time method for the vibration of dry-friction-damped systems
- Computing Hopf Bifurcations I
- Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem
- A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations
- Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
- A Collocation Solver for Mixed Order Systems of Boundary Value Problems
- An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems
- A multiharmonic method for non‐linear vibration analysis
- Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
- MATCONT
- Floquet Theory as a Computational Tool
- Continuation of Quasi-periodic Invariant Tori
- Introduction to Non-Linear Mechanics. (AM-11)
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