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.
Cite this paper
nullH. Sarafian, "Transverse Standing Waves in a Nonuniform Line and their Empirical Verifications," World Journal of Mechanics, Vol. 1 No. 4, 2011, pp. 197-202. doi: 10.4236/wjm.2011.14025.
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