One-dimensional wave animation using Mathematica

Autor:	K. S. Chou, Shing-Kai Kao, Jeng-Tzong Chen
Rok vydání:	2009
Předmět:	General Computer Science Laplace transform business.industry Mathematical analysis General Engineering Animation Wave equation Dashpot Education Damper Software Calculus C++ string handling Reflection coefficient business Mathematics
Zdroj:	Computer Applications in Engineering Education. 17:323-339
ISSN:	1099-0542 1061-3773
DOI:	10.1002/cae.20224
Popis:	The work presents how one-dimensional wave phenomenon is animated. Several methods including the D'Alembert solution, the diamond rule, the Laplace transform and the convolution integral, are employed in the Mathematica animation. All the analytical derivations were carried out by using the symbolic software. Several examples, including an infinite string with a spring, mass and damper as well as a semi-infinite string, two-media string, string and beam subject to support motions, were demonstrated to show the validity of the present formulation. Parameter study of impedance ratio and mass, spring, and dashpot was also examined to see the transmission and reflection coefficient. © 2009 Wiley Periodicals, Inc. Comput Appl Eng Educ 17: 323–339, 2009; Published online in Wiley InterScience (www.interscience.wiley.com); DOI 10.1002/cae.20224
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5f525921c00bfde06cacb65501e4499b https://doi.org/10.1002/cae.20224 Zobrazit plný text záznamu Plný text