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PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS
Using Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. In this paper, an axially moving strip plate with opposite hinged clamped boundary constraints under double-periodic line load was studied. Considering the first two modes and setting the displacement solution. By using Galerkin method and the method of multiple scales, the amplitude frequency response equation of the system under 1∶3 internal resonance and external excitation combined resonance under double-excitation was derived. By calculation examples, the characteristic curves of the first two resonance amplitudes varying with frequency tuning parameters and external excitation were obtained. The effects of the axial velocity of plate and the position of the external excitation force on the resonance characteristics of the system were discussed. The results show that the internal resonance characteristics of the system are obvious, and present the complex multi solution and combination resonance characteristics.
PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS
Using Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. In this paper, an axially moving strip plate with opposite hinged clamped boundary constraints under double-periodic line load was studied. Considering the first two modes and setting the displacement solution. By using Galerkin method and the method of multiple scales, the amplitude frequency response equation of the system under 1∶3 internal resonance and external excitation combined resonance under double-excitation was derived. By calculation examples, the characteristic curves of the first two resonance amplitudes varying with frequency tuning parameters and external excitation were obtained. The effects of the axial velocity of plate and the position of the external excitation force on the resonance characteristics of the system were discussed. The results show that the internal resonance characteristics of the system are obvious, and present the complex multi solution and combination resonance characteristics.
PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS
XIE MengXue (author) / HU YuDa (author)
2022
Article (Journal)
Electronic Resource
Unknown
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