PHYSICS OF OSCILLATIONS AT THE COLLEGE OF INFORMATICS
DOI: 10.23951/1609-624X-2017-8-68-77
Numerical methods allow to circumvent the difficulties associated with lack of mathematical knowledge among the college students who are required to study physics. Using elementary numerical methods the models of various oscillating systems are built. A pendulum, a piston moving in a cylinder under the effect of pressure difference in a cylinder and a material point oscillating around the circumference under the action of elastic force, show a qualitatively different dependence between the amplitude and period of oscillations. Through the numerical solution of differential equations of the mathematical package MathCAD studied the motion of Kapitsa pendulum with a non-trivial restoring force. Construction of two - and three-dimensional graphs in MathCAD is applied to combine mutually perpendicular oscillations and obtaining Lissajous’s figures. Self-oscillating systems are presented in the form of models of the RC- oscillator with three-tier phase-shifting circuit negative feedback and the Wine’s oscillator. An example of relaxation oscillator is the model of the multivibrator on the dynistors. At the heart of a computer model of the generator on the tunnel diode is the use of current-voltage characteristics of N-type containing a section with negative resistance. The material may be used in the process of teaching physics at advanced level in secondary schools and junior courses of higher educational institutions.
Keywords: computer model, nonlinear oscillations, Kapitsa pendulum, RC oscillator, multivibrator, Lissajous figures, tunnel diode
References:
1. Gorelik G. S. Kolebaniya i volny. Vvedeniye v akustiku, radiofiziku i optiku [Vibraations and waves. Introduction to acoustics, radiophysics and optics]. Moscow, Fizmatlit Publ., 2008. 656 p. (in Russian).
2. Krauford F. Volny [Waves]. Moscow, Nauka Publ., 1984. 512 p. (in Russian).
3. Pain H. J. The physics of vibrations and waves. New York, Wiley, 1976. 412 p. (Russ. Ed.: Peyn G. Fizika kolebaniy i voln. Moscow, Mir Publ., 1979. 392 p.).
4. Rabinovich M. I., Trubetskov D. I. Vvedeniye v teoriyu kolebaniy i voln [Introduction to the theory of vibrations and waves]. Izhevsk, RHD Publ., 2000.432 p. (in Russian).
5. Migulin V. V., MedvedevV. I., Mustel’ E. R., Parygin V. N. Osnovy teorii kolebaniy [Basics of theory of oscillations]. Moscow, Nauka Publ, 1978. 392 p. (in Russian).
6. Trubetskov D. I. Kolebaniya i volny dlya gumanitariev [Vibrations and waves for humanitarians]. Saratov, Kolledzh Publ., 1997. 432 p. (in Russian).
7. Nayfeh A. H. Introduction to perturbation techniques. New York John Wiley & sons 1981. 564 p. (Russ. ed.: Nayfye A. Vvedeniye v metody vozmushcheniy. Moscow, Mir Publ., 1984. 536 p.).
8. Landau L. D., Lifshits E. M. Mekhanika [Mechanics]. Moscow, Fizmatlit Publ, 2013. 208 p. (in Russian).
9. Zel’dovich Ya. B., Yaglom N. M. Vysshaya matematika dlya nachinayushchikh fizikov i tekhnikov [Higher mathematics for beginner physicists and technicians]. Moscow, Nauka Publ, 1982. 512 p. (in Russian).
10. Fisher J. E., Gatland H. B. Electronics – theory into practice. Pergamon press. New York, 1976. 412 p. (Russ. ed.: Fisher Dzh. Ye., Getland U. B. Elektronika – ot teorii k praktike. Moscow, Energiya Publ., 1989. 400 p.)
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Issue: 8, 2017
Series of issue: Issue 8
Rubric: PEDAGOGICAL EDUCATION
Pages: 68 — 77
Downloads: 206