TITLE:
Characteristics of an Accelerated Transverse Mechanical Pulse and Its Implications
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Mechanical Transverse Pulse, Accelerated Pulse, Computer Algebra System, Mathematica
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.12 No.2,
June
14,
2022
ABSTRACT: In this report, two nontraditional mechanical wave-related issues are
addressed. 1) Customary, for practical reasons the characteristics of
the sinusoidal pulses progressing
at a constant speed only is considered. And 2) the literature search shows that there has been no interest in exploring the characteristics
of the pulses in a curvilinear two-dimensional space. By relaxing the
first restriction we consider a scenario that which a mechanical pulse
progresses with variable speed, specifically at a constant acceleration. We
develop its equation of motion conducive to a homogenous linear partial differential
equation with variable coefficients then we apply it to a practical problem. To address the 2nd point we depict a circular orbital embodying two
Gaussian pulses circulating in opposite directions. Utilizing a Computer
Algebra System (CAS), Mathematica, we develop
animations visually easing the comprehension of the issues on hand.