Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances-Reference-Cited by-同舟云学术

Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances

Published:2015-10-09 Issue:3 Volume:83 Page:1577-1600
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Yi Zhuangpeng,Stanciulescu Ilinca

Funder

The National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-015-2432-3.pdf

Reference57 articles.

1. Blair, K.B., Krousgrill, C.M., Farris, T.N.: Non-linear dynamic response of shallow arches to harmonic forcing. J. Sound Vib. 194(3), 353–367 (1996)

2. Levitas, J., Singer, J., Weller, T.: Global dynamic stability of a shallow arch by Poincaré-like simple cell mapping. Int. J. Non-Linear Mech. 32(2), 411–424 (1997)

3. Lakrad, F., Schiehlen, W.: Effects of a low frequency parametric excitation. Chaos Solitons Fractals 22(5), 1149–1164 (2004)

4. Tien, W.M., Namachchivaya, N.S., Bajaj, A.K.: Nonlinear dynamics of a shallow arch under periodic excitation, I: 1:2 internal resonance. Int. J. Non-Linear Mech. 23(3), 349–366 (1994)

5. Tien, W.M., Namachchivaya, N.S., Malhotra, N.: Non-linear dynamics of a shallow arch under periodic excitation, II: 1:1 internal resonance. Int. J. Non-Linear Mech. 29(3), 367–386 (1994)

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