Analysis of a mass-spring-relay system with periodic forcing
نویسندگان
چکیده
Abstract The dynamics of a hysteretic relay oscillator with harmonic forcing is investigated. Periodic excitation the system results in periodic, quasi-periodic, chaotic and unbounded behavior. An explicit Poincaré map constructed an implicit constraint on switching time. stability fixed points corresponding to period-one solutions By varying parameters, we observed saddle-center pitchfork bifurcation two centers saddle-type point. global exhibits discontinuity induced bifurcations points.
منابع مشابه
Periodic Motion of a Mass-Spring System
The equations of planar motion of a mass attached to two anchored massless springs form a symmetric Hamiltonian system. The system has a single dimensionless parameter L, corresponding to the spacing between the anchors. For L > 1, there is a stable equilibrium at which the springs are in tension and lie on a line, but for L < 1, this equilibrium has both springs in compression, and is unstable...
متن کاملDynamics of a Hysteretic Relay Oscillator with Periodic Forcing
The dynamics of a hysteretic relay oscillator with simple harmonic forcing is studied in this paper. Even though there are no bounded solutions in the absence of forcing, periodic excitation gives rise to more complex responses including periodic, quasi-periodic, and chaotic behavior. A Poincaré map is introduced to facilitate mathematical analysis. Families of period-one solutions are determin...
متن کاملFree Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames
This study is concentrated on the natural frequencies and mode shapes of a simple three-member space frame coupled with a dynamic vibration absorber. The dynamic vibration absorber is modeled as a six-degree-of-freedom mass-spring system. For the first time, the free vibration of an elastic structure with a six-degree-of-freedom mass-spring system is found. Each member of the space frame has un...
متن کاملSpectral Analysis and Limit Behaviours in a Spring-mass System
We consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical springmass damper ODE. Here we use spectral analysis to show that for other values of the parameters, still of phys...
متن کاملAnalysis of a viscoelastic spring-mass model
In this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two approaches to the same physical system. We take a functional analysis point of view based on semigroup theory, spectral perturbation analysis and dominant eigenvalues.
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: Nonlinear Dynamics
سال: 2021
ISSN: ['1573-269X', '0924-090X']
DOI: https://doi.org/10.1007/s11071-021-06685-9