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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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