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ERIC Number: EJ994430
Record Type: Journal
Publication Date: 2012
Pages: 15
Abstractor: As Provided
ISSN: ISSN-0020-739X
Quadratic Damping
Fay, Temple H.
International Journal of Mathematical Education in Science and Technology, v43 n6 p789-803 2012
Quadratic friction involves a discontinuous damping term in equations of motion in order that the frictional force always opposes the direction of the motion. Perhaps for this reason this topic is usually omitted from beginning texts in differential equations and physics. However, quadratic damping is more realistic than viscous damping in many models and is applicable to problems concerning aerodynamic and hydrological drag. In this article, we discuss how to use a generalized energy approach that permits us to discuss trajectories for initial value problems of dissipative oscillators like the harmonic oscillator and the pendulum having quadratic damping. This technique permits the computing of maximum deflections of a solution without having to compute the solution either analytically or numerically. This discussion is suitable for classroom presentation and for computer laboratory investigation. (Contains 6 figures and 1 note.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A