TY - JOUR
T1 - Nonlinear vibration of parametrically excited viscoelastic moving belts, part II
T2 - Stability analysis
AU - Zhang, L.
AU - Zu, J. W.
PY - 1999/6
Y1 - 1999/6
N2 - The amplitude and existence conditions of nontrivial limfl cycles are derived in the companion paper by the use of the method of multiple scales. In this paper, the stability for parametrically excited viscoelastic moving belts is studied. Stability boundaries of the trivial limit cycle for general summation parametric resonance are obtained. The Routh-Hurwitz criterion is used to investigate the stability of nontrivial limit cycles. Closed-form expressions are found for the stability of nontrivial limit cycles of general summation parametric resonance. It is shown that the first limit cycle is always stable while the second limit cycle is always unstable for the viscoelastic moving belts. The effects of viscoelastic parameters, excitation frequencies, excitation amplitudes, and axial moving speeds on stability boundaries are discussed.
AB - The amplitude and existence conditions of nontrivial limfl cycles are derived in the companion paper by the use of the method of multiple scales. In this paper, the stability for parametrically excited viscoelastic moving belts is studied. Stability boundaries of the trivial limit cycle for general summation parametric resonance are obtained. The Routh-Hurwitz criterion is used to investigate the stability of nontrivial limit cycles. Closed-form expressions are found for the stability of nontrivial limit cycles of general summation parametric resonance. It is shown that the first limit cycle is always stable while the second limit cycle is always unstable for the viscoelastic moving belts. The effects of viscoelastic parameters, excitation frequencies, excitation amplitudes, and axial moving speeds on stability boundaries are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0033148490&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0033148490&partnerID=8YFLogxK
U2 - 10.1115/1.2791063
DO - 10.1115/1.2791063
M3 - Article
AN - SCOPUS:0033148490
SN - 0021-8936
VL - 66
SP - 403
EP - 409
JO - Journal of Applied Mechanics, Transactions ASME
JF - Journal of Applied Mechanics, Transactions ASME
IS - 2
ER -