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Nonlinear vibration of beams and rectangular plates. (English) Zbl 0133.19101

Full Text: DOI
[1] S. Woinowsky-Krieger,The Effect of Axial Force on the Vibration of Hinged Bars. J. appl. Mech.17, 35 (1950). · Zbl 0036.13302
[2] D. Burgreen,Free Vibrations of a Pin Ended Column with Constant Distance between Ends. J. appl.Mech.18, 135 (1951).
[3] H. N. Chu andG. Herrmann,Influence of Large Amplitudes of Free Flexural Vibrations of Rectangular Elastic Plates. J. appl. Mech.23, 532 (1956). · Zbl 0074.20001
[4] N. Yamaki,Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates. Z. angew. Math. Mech.41, 501 (1961). · Zbl 0104.19604 · doi:10.1002/zamm.19610411204
[5] S. P. Timoshenko andJ. M.Gere,Theory of Elastic Stability (McGraw-Hill Book Co., Inc.,1961).
[6] J. J. Stoker,Nonlinear Vibrations (Interscience Publishers, Inc., 1950).
[7] E. Mettler,Zum Problem der Stabilität erzwungener Schwingungen elastischer Körper. Z. angew. Math. Mech.31, 263 (1951). · Zbl 0042.42702 · doi:10.1002/zamm.19510310828
[8] Y. K. Lin,Response of a Nonlinear Flat Panel to Periodic and Randomly Varying Loadings, J. Aerospace Sci.29, 1029 (1962).
[9] C. S. Hsu,On the Application of Elliptic Functions in Nonlinear Forced Oscillations. Quart. appl. Math.17, 393 (1960). · Zbl 0087.39203