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 |
. |
Category:
|
math |
. |
MSC:
|
74H45 |
idZBL:
|
Zbl 0384.73042 |
idMR:
|
MR0492762 |
DOI:
|
10.21136/CPM.1977.108528 |
. |
Date available:
|
2009-09-23T08:51:00Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108528 |
. |
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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