Periodic vibrations of an extensible beam

Marie Kopáčková; Otto Vejvoda

Časopis pro pěstování matematiky (1977)

  • Volume: 102, Issue: 4, page 356-363
  • ISSN: 0528-2195

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Kopáčková, Marie, and Vejvoda, Otto. "Periodic vibrations of an extensible beam." Časopis pro pěstování matematiky 102.4 (1977): 356-363. <http://eudml.org/doc/19358>.

@article{Kopáčková1977,
author = {Kopáčková, Marie, Vejvoda, Otto},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {4},
pages = {356-363},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Periodic vibrations of an extensible beam},
url = {http://eudml.org/doc/19358},
volume = {102},
year = {1977},
}

TY - JOUR
AU - Kopáčková, Marie
AU - Vejvoda, Otto
TI - Periodic vibrations of an extensible beam
JO - Časopis pro pěstování matematiky
PY - 1977
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 102
IS - 4
SP - 356
EP - 363
LA - eng
UR - http://eudml.org/doc/19358
ER -

References

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  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. (1950) Zbl0036.13302MR0034202
  2. J. G. Eisley, Nonlinear vibration of beams and rectangular plates, ZAMP, 15 (1964), p. 167-175. (1964) Zbl0133.19101MR0175375
  3. J. M. Ball, Initial-boundary value problems for an extensible beam, Journ. of Math. Anal. Appl. 42(1973), p. 61-90. (1973) Zbl0254.73042MR0319440
  4. J. M. Ball, Stability theory for an extensible beam, Journ. of Diff. Eq. 14 (1973), p. 399-418. (1973) Zbl0247.73054MR0331921
  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. (1975) 
  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. (1975) 
  7. N. Krylová O. Vejvoda, A linear and weakly nonlinear equation of a beam, Czech. Math. J. vol. 21 (95), (1971), p. 535-566. (1971) MR0289918
  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. (1975) MR0385239
  9. V. Lovicar, Periodic solutions of nonlinear abstract second order equations with a dissipative term, (to appear). 

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