A stretchy pendulum: from theoretical mechanics to experiments and back

Leoš Dvořák

Pokroky matematiky, fyziky a astronomie (2006)

  • Volume: 51, Issue: 4, page 312-327
  • ISSN: 0032-2423

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Dvořák, Leoš. "Pružné kyvadlo: od teoretické mechaniky k pokusům a zase zpátky." Pokroky matematiky, fyziky a astronomie 51.4 (2006): 312-327. <http://eudml.org/doc/197052>.

@article{Dvořák2006,
author = {Dvořák, Leoš},
journal = {Pokroky matematiky, fyziky a astronomie},
language = {cze},
number = {4},
pages = {312-327},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Pružné kyvadlo: od teoretické mechaniky k pokusům a zase zpátky},
url = {http://eudml.org/doc/197052},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Dvořák, Leoš
TI - Pružné kyvadlo: od teoretické mechaniky k pokusům a zase zpátky
JO - Pokroky matematiky, fyziky a astronomie
PY - 2006
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 51
IS - 4
SP - 312
EP - 327
LA - cze
UR - http://eudml.org/doc/197052
ER -

References

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  1. Havránek, A., Čertík, O., Pružné kyvadlo, PMFA 51 (2006), 198–216. (2006) 
  2. Olsson, M. G., Why does a mass on a spring sometimes misbehave?, Am. J. Phys 44 (1976), No. 12, 1211–1212. (1976) 
  3. Rusbridge, M. G., Motion of the sprung pendulum, Am. J. Phys. 48 (1980), No. 2, 146–151. (1980) MR0558774
  4. Breitenberger, E., Mueller, R. D., The elastic pendulum: A nonlinear paradigm, J. Math. Phys. 22 (1981), No. 6, 1196–1210. (1981) Zbl0464.70025MR0621262
  5. Lai, H. M., On the recurrence phenomenon of a resonant spring pendulum, Am. J. Phys. 52 (1984), No. 3, 219–223. (1984) 
  6. Aničin, B. A., Davidović, D. M., Babović, V. M., On the linear theory of the elastic pendulum, Eur. J. Phys. 14 (1993), 132–135. (1993) 
  7. Davidović, D. M., Aničin, B. A., Babović, V. M., The libration limits of the elastic pendulum, Am. J. Phys. 64 (1996), No. 3, 338–342. (1996) 
  8. Kuznetsov, S. V., The motion of the elastic pendulum, Regular and Chaotic Dynamics 4 (1999), No. 3, 3–12. (1999) Zbl1137.70358MR1777873
  9. Press, W. H. et. al., Numerical Recipes in FORTRAN. The Art of Scientific Computing, Cambridge Univ. Press, Cambridge 1992. (1992) Zbl0778.65002MR1196230
  10. Brdička, M., Hladík, A., Teoretická mechanika, Academia, Praha 1987. (1987) MR0934921
  11. Abramowitz, M., Stegun, A., Handbook of Mathematical Functions, Dower Publications, N. Y. 1970. (1970) Zbl0171.38503
  12. Landau, L. D., Lifšic, E. M., Mechanika, Nauka, Moskva 1973. (1973) 
  13. Landau, L. D., Lifšic, E. M., Úvod do teoretickej fyziky 1, Alfa, Bratislava 1980. (1980) 
  14. Hluší, S., Parametrická resonance aneb Fyzika na houpačce, Diplomová práce. MFF UK, Praha 2000. (2000) 
  15. Lynch, P., Resonant motion of the three-dimensional elastic pendulum, Int. J. Nonlin. Mech. 37 (2002), 345–367. (2002) Zbl05138042
  16. Lynch, P., The swinging spring, Webové stránky dostupné na adrese http://www.maths.tcd.ie/~plynch/SwingingSpring/SS_Home_Page.html [cit. 31. 5. 2006]. (2006) 
  17. Christensen, J., An improved calculation of the mass for the resonant spring pendulum, Am. J. Phys. 72 (2004), No. 6, 818–828. (2004) 
  18. Properties of the nonlinear elastic pendulum, Dostupné na webu na adrese http://academic.reed.edu/physics/courses/phys100/Lab%20Manuals/ Nonlinear%20Pendulum/nonlinear.pdf [cit. 31. 5. 2006]. Patří do projektů kurzu General Physics na Reed College — viz http://academic.reed.edu/physics/courses/phys100/fallsemester.html [cit. 31. 5. 2006]. (2006) 
  19. Tuwankotta, J. M., Quispel, G. R. W., Geometric numerical integration applied to the elastic pendulum at higher-order resonance, J. Comp. Appl. Math. 154 (2003), 229–242. (2003) Zbl1107.37309MR1970537

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