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Title: Periodic vibrations of an extensible beam (English)
Author: Kopáčková, Marie
Author: Vejvoda, Otto
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 102
Issue: 4
Year: 1977
Pages: 356-363
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Category: math
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MSC: 74H45
idZBL: Zbl 0384.73042
idMR: MR0492762
DOI: 10.21136/CPM.1977.108528
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Date available: 2009-09-23T08:51:00Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/108528
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Reference: [1] S. Woinowsky-Krieger: The effect of an axial force on the vibration of hinged bars.Journ. of Appl. Mech., 17 (1950), p. 35-36. Zbl 0036.13302, MR 0034202
Reference: [2] J. G. Eisley: Nonlinear vibration of beams and rectangular plates.ZAMP, 15 (1964), p. 167-175. Zbl 0133.19101, MR 0175375
Reference: [3] J. M. Ball: Initial-boundary value problems for an extensible beam.Journ. of Math. Anal. Appl. 42(1973), p. 61-90. Zbl 0254.73042, MR 0319440
Reference: [4] J. M. Ball: Stability theory for an extensible beam.Journ. of Diff. Eq. 14 (1973), p. 399-418. Zbl 0247.73054, MR 0331921
Reference: [5] R. van Dooren: Two mode sub-harmonic vibrations of order 1 /9 of a nonlinear beam forced by a two mode harmonic load.Journ. of Sound and Vibr. 41 (2), (1975), p. 133-142.
Reference: [6] R. van Dooren R. Bouc: Two mode sub-harmonic and harmonic vibrations of a nonlinear beam forced by a two mode harmonic load.Int. J. Non-Linear Mech., 10, (1975) p. 271-280.
Reference: [7] N. Krylová O. Vejvoda: A linear and weakly nonlinear equation of a beam.Czech. Math. J. vol. 21 (95), (1971), p. 535-566. MR 0289918
Reference: [8] S. Fučík V. Lovicar: Periodic solutions of the equation $x''(t) + g(x(t)) = p(t)$.Čas. pro pěst. mat., roč. 100 (1975), 160-175. MR 0385239
Reference: [9] V. Lovicar: Periodic solutions of nonlinear abstract second order equations with a dissipative term.(to appear).
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