@article{MTMT:31379698, title = {Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber}, url = {https://m2.mtmt.hu/api/publication/31379698}, author = {Lelkes, János and Kalmár-Nagy, Tamás}, doi = {10.1007/s11071-020-05725-0}, journal-iso = {NONLINEAR DYNAM}, journal = {NONLINEAR DYNAMICS}, volume = {103}, unique-id = {31379698}, issn = {0924-090X}, abstract = {The dynamics of a two-degrees-of-freedom (pitch–plunge) aeroelastic system is investigated. The aerodynamic force is modeled as a piecewise linear function of the effective angle of attack. Conditions for admissible (existing) and virtual equilibria are determined. The stability and bifurcations of equilibria are analyzed. We find saddle-node, border collision and rapid bifurcations. The analysis shows that the pitch–plunge model with a simple piecewise linear approximation of the aerodynamic force can reproduce the transition from divergence to the complex aeroelastic phenomenon of stall flutter. A linear tuned vibration absorber is applied to increase stall flutter wind speed and eliminate limit cycle oscillations. The effect of the absorber parameters on the stability of equilibria is investigated using the Liénard–Chipart criterion. We find that with the vibration absorber the onset of the rapid bifurcation can be shifted to higher wind speed or the oscillations can be eliminated altogether.}, year = {2021}, eissn = {1573-269X}, pages = {2997-3018}, orcid-numbers = {Lelkes, János/0000-0002-6205-4923; Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:30710176, title = {The Devil is in the details: Spectrum and eigenvalue distribution of the discrete Preisach memory model}, url = {https://m2.mtmt.hu/api/publication/30710176}, author = {Kalmár-Nagy, Tamás and Amann, A. and Kim, D. and Rachinskii, D.}, doi = {10.1016/j.cnsns.2019.04.023}, journal-iso = {COMMUN NONLIN SCI NUMER SIMULAT}, journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION}, volume = {77}, unique-id = {30710176}, issn = {1007-5704}, year = {2019}, eissn = {1878-7274}, pages = {1-17}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620; Rachinskii, D./0000-0003-2786-7205} } @article{MTMT:2835837, title = {Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing}, url = {https://m2.mtmt.hu/api/publication/2835837}, author = {Kalmár-Nagy, Tamás and Wahi, P and Halder, A}, doi = {10.1137/100784606}, journal-iso = {SIAM J APPL DYN SYST}, journal = {SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS}, volume = {10}, unique-id = {2835837}, issn = {1536-0040}, keywords = {hysteresis, relay oscillator, forced response, Poincaré map}, year = {2011}, pages = {403-422}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:2826465, title = {Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation}, url = {https://m2.mtmt.hu/api/publication/2826465}, author = {Kalmár-Nagy, Tamás and Shekhawat, Ashivni}, doi = {10.1016/j.physd.2009.06.016}, journal-iso = {PHYSICA D: NONLINEAR PEHONOM}, journal = {PHYSICA D: NONLINEAR PHENOMENA}, volume = {238}, unique-id = {2826465}, issn = {0167-2789}, abstract = {The transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation are investigated. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. A novel method for obtaining the exact transient and steady-state response of the system is discussed. Stability and bifurcations of periodic orbits are studied using Poincaré maps. Results are compared with asymptotic expansions obtained by Caughey. The bilinear hysteretic element is found to act like a ‘soft spring’. Several sub-harmonic resonances are found in the system, however, no chaotic behavior is observed. Away from the sub-harmonic resonance the asymptotic expansions and the exact steady-state response of the system are seen to match with good accuracy.}, keywords = {Forced response; Caughey model; Hysteretic oscillator; Bilinear hysteresis}, year = {2009}, eissn = {1872-8022}, pages = {1768-1786}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} }