Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation
Copyright policy )Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation
The authors investigate the transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. Stability and bifurcations of periodic orbits are studied using Poincaré maps. Results are compared with asymptotic expansions obtained by Caughey.
- Texas A&M University United States
Bifurcation theory for ordinary differential equations, Caughey model, Bifurcations of limit cycles and periodic orbits in dynamical systems, bilinear hysteresis, forced response, hysteretic oscillator
Bifurcation theory for ordinary differential equations, Caughey model, Bifurcations of limit cycles and periodic orbits in dynamical systems, bilinear hysteresis, forced response, hysteretic oscillator
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