Long-term analysis of a swing using the two-timing method

Autor:	Saebyok Bae
Rok vydání:	2005
Předmět:	Physics symbols.namesake Amplitude Work (physics) Mathematical analysis Taylor series symbols Physical system General Physics and Astronomy Swing Stability (probability) Term (time) Exponential function
Zdroj:	European Journal of Physics. 26:791-801
ISSN:	1361-6404 0143-0807
DOI:	10.1088/0143-0807/26/5/011
Popis:	We analyse the motion of a swing which is an interesting physical system. Due to the limitation of the conventional method using the Taylor series, an alternative method called the 'two-timing method' is used in order to explore its stability nature (i.e., long-term behaviour) properly. It is shown by the numerical work that the two-timing method supplies a good analytic approximation whose amplitude has an exponential dependence on time. By the two-timing method, the exponent is expressed in terms of the pumping and the frictional force. And we discuss the dependence on the pumping manner of the swing's motion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::03b72f427358987434ca0095ceec664f https://doi.org/10.1088/0143-0807/26/5/011 Zobrazit plný text záznamu