Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis
نویسندگان
چکیده
منابع مشابه
Dynamic Harmonic Balance Principle and Analysis of Rocking Block Motions
The harmonic balance (HB) principle is a powerful and convenient tool for finding periodic solutions in nonlinear systems. In the present paper, this principle is extended to transient processes in systems with one single-valued odd-symmetric nonlinearity and linear plant not having zeros in the transfer function, and named the dynamic HB. Based on the dynamic HB, first the equations for the am...
متن کاملStability of Quantum Harmonic Oscillator under Time Quasi-periodic Perturbation
— We prove stability of the bound states for the quantum harmonic oscillator under non-resonant, time quasi-periodic perturbations by proving that the associated Floquet Hamiltonian has pure point spectrum. Résumé (Stabilité de l’oscillateur harmonique quantique sous les perturbations quasipériodiques) Nous démontrons la stabilité des états bornés de l’oscillateur harmonique sous les perturbati...
متن کاملOn bifurcations into nonresonant quasi-periodic motions
The stability, instability, and bifurcation behaviour of a nonlinear autonomous system in the vicinity of a compound critical point is studied in detail. The critical point is characterized by two distinct pairs of pure imaginary eigenvalues of the Jacobian, and the system is described by two independent parameters. The analysis is based on a generalized perturbation procedure which employs mul...
متن کاملQuasi periodic motions from Hipparchus to Kolmogorov
Contemporary research on the problem of chaotic motions in dynamical systems finds its roots in the Aristotelian idea, often presented as kind of funny in high schools, that motions can always be considered as composed by circular uniform motions,. The reason of this conception is the perfection and simplicity of such motions (of which the uniform rectilinear motion case must be thought as a li...
متن کاملWavelet-based Analysis for Pulse Period of Earthquake Ground-motions
Pulse period of earthquake records has been known as a key parameter in seismology and earthquake engineering. This paper presents a detailed characterization of this parameter for a special class of earthquake records called pulse-like ground motions. This type of motions often resulting from directivity effects is characterized by a strong pulse in the velocity time history of motion, in norm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Vibration and Acoustics
سال: 2012
ISSN: 1048-9002,1528-8927
DOI: 10.1115/1.4005823