A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system
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Publication:840513
DOI10.1007/S11071-008-9337-3zbMath1191.70010OpenAlexW2164772164MaRDI QIDQ840513
Achille Paolone, Angelo Luongo, Fabrizio Vestroni
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-008-9337-3
Stability for nonlinear problems in mechanics (70K20) General perturbation schemes for nonlinear problems in mechanics (70K60) Normal forms for nonlinear problems in mechanics (70K45)
Related Items (11)
On the contribution of Angelo Luongo to mechanics: in honor of his 60th birthday ⋮ Closed-form periodic solutions for piecewise-linear vibrating systems ⋮ Closed-form criterion for convergence and stability of pseudo-force method for nonlinear dynamic analysis ⋮ Study of a piecewise linear dynamic system with negative and positive stiffness ⋮ Non-autonomous grazing phenomenon ⋮ Nonlinear resonances of hysteretic oscillators ⋮ Triple scale analysis of periodic solutions and resonance of some asymmetric non linear vibrating systems ⋮ Limitation on the method of strained coordinates for vibrations with weak grazing unilateral contact ⋮ Existence of nonlinear normal modes for coupled nonlinear oscillators ⋮ Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems ⋮ Analysis of crack formation in T-joint structures under dynamic loading
Cites Work
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- On the existence and bifurcation of minimal normal modes
- A direct method for non-linear normal modes
- Bifurcation of nonlinear normal modes in a class of two degree of freedom systems
- Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
- Nonstandard bifurcations in oscillators with multiple discontinuity boundaries
- Natural modes of a coupled non-linear system
- Nonlinear normal modes of structural systems via asymptotic approach
- MODAL ANALYSIS OF A CRACKED BEAM
- The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
- On the Stability Behavor of Bifurcated Normal Modes in Coupled Nonlinear Systems
- Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
- Normal Modes for Non-Linear Vibratory Systems
- Normal Modes of Vibration for Non-Linear Continuous Systems
- Non-Linear Real And Complex Modes Of Conewise Linear Systems
- On Direct Methods for Constructing Nonlinear Normal Modes of Continuous Systems
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