Transverse Standing Waves in a Nonuniform Line and their Empirical Verifications ()
ABSTRACT
We consider a one-dimensional elastic line with a linear varying density. Utilizing a Computer Algebra System (CAS), such as Mathematica symbolically we solve the equation describing progressive transverse waves yielding standing waves. For a set of suitable parameters the numeric mode of Mathematica displays and animates vibrating normal modes bringing the vibrations to life. We tailor a device that mimics the characteristics of the non-linearity; experimentally we explore its integrity.
Share and Cite:
Sarafian, H. (2011) Transverse Standing Waves in a Nonuniform Line and their Empirical Verifications.
World Journal of Mechanics,
1, 197-202. doi:
10.4236/wjm.2011.14025.
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