TY - GEN
A1 - Pakdemirli, Mehmet
A2 - Jurczak, Paweł - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - A rotating spring-mass system is considered using polar coordinates. The system contains a cubic nonlinear spring with damping. The angular velocity harmonically fluctuates about a mean velocity. The dimensionless equations of motion are derived first. The velocity fluctuations resulted in a direct and parametric forcing terms. Approximate analytical solutions are sought using the Method of Multiple Scales, a perturbation technique.
N2 - The primary resonance and the principal parametric resonance cases are investigated. The amplitude and frequency modulation equations are derived for each case. By considering the steady state solutions, the frequency response relations are derived. The bifurcation points are discussed for the problems. It is found that speed fluctuations may have substantial effects on the dynamics of the problem and the fluctuation frequency and amplitude can be adjusted as passive control parameters to maintain the desired responses.
L1 - http://www.zbc.uz.zgora.pl/Content/78859/Volume29_Issue1_paper_08+IJAME-02521.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/78859
KW - spring-mass system
KW - nonlinear rotational vibrations
KW - velocity fluctuations
KW - resonance
KW - method of multiple scales
T1 - Effect of angular speed variations on the nonlinear vibrations of a rotational spring-mass system
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=78859
ER -