Affiliation:
1. Department of Mechanical Engineering, Bogazici University, 80815 Bebek, Istanbul, Turkey
Abstract
In this study, the nonlinear response of a simply supported metallic rectangular plate subject to transverse harmonic excitations is analyzed using the method of multiple scales. Stability of solutions, critical points, types of bifurcation in the presence of a one-to-one internal resonance, together with primary resonance, are determined. [S0021-8936(00)00603-6]
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference8 articles.
1. Chu, H., and Herrmann, G., 1956, “Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates,” ASME J. Appl. Mech., 23, pp. 532–540.
2. Yang, X. L., and Sethna, P. R., 1991, “Local and Global Bifurcations in Parametrically Excited Vibrations of Nearly Square Plates,” Int. J. Non-Linear Mech., 26, No. 2, pp. 199–220.
3. Yang, X. L., and Sethna, P. R., 1992, “Non-linear Phenomena in Forced Vibrations of a Nearly Square Plate: Antisymmetric Case,” J. Sound Vib., 155, No. 3, pp. 413–441.
4. Chang, S. I., Bajaj, A. K., and Krousgrill, C. M., 1993, “Nonlinear Vibrations and Chaos in Harmonically Excited Rectangular Plates With One-to-One Internal Resonance,” Nonlinear Dyn., 4, pp. 433–460.
5. Elbeyli, O., 1998, “The Nonlinear Response of Simply Supported Rectangular Metallic Plate to Transverse Harmonic Excitations,” M.S. thesis, Bogazici University, Istanbul.
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献