| Title:
|
Pružné kyvadlo: od teoretické mechaniky k pokusům a zase zpátky (Czech) |
| Title:
|
A stretchy pendulum: from theoretical mechanics to experiments and back (English) |
| Author:
|
Dvořák, Leoš |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
51 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
312-327 |
| . |
| Category:
|
physics |
| . |
| . |
| Date available:
|
2010-12-11T21:50:13Z |
| Last updated:
|
2012-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141331 |
| . |
| Reference:
|
[1] Havránek, A., Čertík, O.: Pružné kyvadlo.PMFA 51 (2006), 198–216. |
| Reference:
|
[2] Olsson, M. G.: Why does a mass on a spring sometimes misbehave?.Am. J. Phys 44 (1976), No. 12, 1211–1212. |
| Reference:
|
[3] Rusbridge, M. G.: Motion of the sprung pendulum.Am. J. Phys. 48 (1980), No. 2, 146–151. MR 0558774 |
| Reference:
|
[4] Breitenberger, E., Mueller, R. D.: The elastic pendulum: A nonlinear paradigm.J. Math. Phys. 22 (1981), No. 6, 1196–1210. Zbl 0464.70025, MR 0621262 |
| Reference:
|
[5] Lai, H. M.: On the recurrence phenomenon of a resonant spring pendulum.Am. J. Phys. 52 (1984), No. 3, 219–223. |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[8] Kuznetsov, S. V.: The motion of the elastic pendulum.Regular and Chaotic Dynamics 4 (1999), No. 3, 3–12. Zbl 1137.70358, MR 1777873 |
| Reference:
|
[9] Press, W. H. et. al.: Numerical Recipes in FORTRAN. The Art of Scientific Computing.Cambridge Univ. Press, Cambridge 1992. Zbl 0778.65002, MR 1196230 |
| Reference:
|
[10] Brdička, M., Hladík, A.: Teoretická mechanika.Academia, Praha 1987. MR 0934921 |
| Reference:
|
[11] Abramowitz, M., Stegun, A.: Handbook of Mathematical Functions.Dower Publications, N. Y. 1970. |
| Reference:
|
[12] Landau, L. D., Lifšic, E. M.: Mechanika.Nauka, Moskva 1973. |
| Reference:
|
[13] Landau, L. D., Lifšic, E. M.: Úvod do teoretickej fyziky 1.Alfa, Bratislava 1980. |
| Reference:
|
[14] Hluší, S.: Parametrická resonance aneb Fyzika na houpačce.Diplomová práce. MFF UK, Praha 2000. |
| Reference:
|
[15] Lynch, P.: Resonant motion of the three-dimensional elastic pendulum.Int. J. Nonlin. Mech. 37 (2002), 345–367. |
| Reference:
|
[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]. |
| Reference:
|
[17] Christensen, J.: An improved calculation of the mass for the resonant spring pendulum.Am. J. Phys. 72 (2004), No. 6, 818–828. |
| Reference:
|
[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]. |
| Reference:
|
[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. Zbl 1107.37309, MR 1970537 |
| . |
