Vibrational properties of a loaded string
作者:
Samantha Parmley,
Tom Zobrist,
Terry Clough,
Anthony Perez‐Miller,
Mark Makela,
Roger Yu,
期刊:
American Journal of Physics
(AIP Available online 1995)
卷期:
Volume 63,
issue 6
页码: 547-553
ISSN:0002-9505
年代: 1995
DOI:10.1119/1.18089
出版商: American Association of Physics Teachers
关键词: STRINGS;MECHANICAL VIBRATIONS;VIBRATIONAL STATES;NORMAL−MODE ANALYSIS;EIGENFUNCTIONS;BAND STRUCTURE;PULSE ANALYZERS;WAVE EQUATIONS
数据来源: AIP
摘要:
In this paper we discuss our study of a string–mass chain and its anology to quantum mechanical systems. Theoretical predictions are made based upon the numerical solution to the wave equation. These predictions are tested experimentally using both normal mode analysis and pulse analysis. The frequency band structures for periodic and disordered string mass chains are studied as well as their corresponding eigenfunctions. The theoretical and experimental results are in accord. This experiment, suitable for advanced physics majors, demonstrates many important features of quantum mechanics: eigenvalues, superposition principle, band structure, gap modes, and Anderson localization.
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