Parametric Resonances of Convection Belts System Analysis

YANG Zhi-an; LI Gao-feng

doi:10.3879/j.issn.1000-0887.2009.06.009

Volume 30 Issue 6

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YANG Zhi-an, LI Gao-feng. Parametric Resonances of Convection Belts System Analysis[J]. Applied Mathematics and Mechanics, 2009, 30(6): 701-712. doi: 10.3879/j.issn.1000-0887.2009.06.009

Citation:

YANG Zhi-an, LI Gao-feng. Parametric Resonances of Convection Belts System Analysis[J]. Applied Mathematics and Mechanics, 2009, 30(6): 701-712. doi: 10.3879/j.issn.1000-0887.2009.06.009

Citation:

YANG Zhi-an, LI Gao-feng. Parametric Resonances of Convection Belts System Analysis[J]. Applied Mathematics and Mechanics, 2009, 30(6): 701-712. doi: 10.3879/j.issn.1000-0887.2009.06.009

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Parametric Resonances of Convection Belts System Analysis

doi: 10.3879/j.issn.1000-0887.2009.06.009

Key Laboratory of Structure and Vibration of Tangshan, Tangshan College, Tangshan, Hebei 063000, P. R. China

Received Date: 2008-09-22
Rev Recd Date: 2009-05-13
Publish Date: 2009-06-15

Abstract

Abstract

Based on Coriolis acceleration and Lagrangian strain formula,the transverse vibration sys-tem of convection belts equation generalized was derived by Newton.s second law .The method of multiple scales was applied directly to the governing equations,and approximate solution of primary parameter resonance of the system was obtained.The detuning parameter,cros-s section area,elastic and viscoelastic parameters,and an axial moving speed have a significant effect on the amplitudes of steady-state response and their existence boundaries.Some new dynamical phenomena were re-vealed.
- convection belts,
- primary parametric resonance,
- the method of multiple scales

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References(13)

References

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