In this article, the internal resonance characteristics of periodically excited curved beams are investigated. It was found that 2:1 internal resonance is predominant for a wide range of the linear frequency ratio of the first symmetric and antisymmetric modes. 1:1 internal resonance exists for a narrow range of the linear frequency ratio of the first two modes.
Ibrahim SM, Patel BP and Nath Y (2010) Nonlinear periodic response of composite curved beam subjected to symmetric and antisymmetric mode excitation. ASME Journal of Computational and Nonlinear Dynamics 5: 021009-1-11.
2.
MalhotraNNamachchivayaNS (1997a) Chaotic dynamics of shallow arch structures under 1:2 resonance. ASCE Journal of Engineering Mechanics123: 612–619.
3.
MalhotraNNamachchivayaNS (1997b) Chaotic dynamics of shallow arch structures under 1:1 resonance. ASCE Journal of Engineering Mechanics123: 620–627.
4.
PatelBPIbrahimSMNathY (2009) Periodic response of nonlinear dynamical system with large number of degrees of freedom. SADHANA – Academy Proceedings in Engineering Sciences, Indian Academy of Sciences34: 1033–1037.
5.
TeinWMNamachchivayaNSBajajAK (1994a) Non-linear dynamics of a shallow arch under periodic excitation – I. 1:2 internal resonance. International Journal of Nonlinear Mechanics29: 349–366.
6.
TeinWMNamachchivayaNSMalhotraN (1994b) Non-linear dynamics of a shallow arch under periodic excitation – II. 1:1 internal resonance. International Journal of Nonlinear Mechanics29: 367–386.
7.
ThomsenJJ (1992) Chaotic vibrations of non-shallow arches. Journal of Sound and Vibration153: 239–258.