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Elasticity and Oscillations

4. Damping and Resonance

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About this Lecture

Lecture

In this mini-lecture, we explore damping and resonance, focusing in particular on: (i) types of damping, such as air resistance, drag, and friction in the system; (ii) the net effect of damping, which causes the oscillation amplitude to tend towards zero; (iii) the exponential factor added to the simple harmonic motion solution to account for damping; (iv) types of forced oscillations, including examples of oscillations driven below, at, and above the natural frequency of a system; (v) a plot of the mass motion / ground motion vs. frequency of various systems with different damping factors; and (vi) examples of forced oscillations at resonant frequency, such as breaking a wine glass with your voice, the Tacoma Narrows Bridge in 1940, and the Millennium Bridge in London.

Course

In this course, Professor Giles Hammond (University of Glasgow) explores elasticity and oscillations. In the first mini-lecture, we consider elasticity, stress, and strain of materials when forces are applied. In the second mini-lecture, we use the simple pendulum to discuss oscillations and the corresponding displacement, velocity, and acceleration equations of the oscillating motion. In the third mini-lecture, we introduce the concept of simple harmonic motion and use two systems, the simple pendulum and a mass on a spring, to understand it’s properties. In the fourth mini-lecture we discuss damping and resonance. In the fifth mini-lecture, we bring together what we have learned in an example that covers stress, extension, and oscillation frequency of a steel wire.

Lecturer

Giles Hammond is a Professor of Experimental Gravitational Physics at the University of Glasgow. His research interests focus on the development of fused silica suspension systems for gravitational wave detectors. He has made significant contributions to the development of the monolithic stages of quadruple pendulums used in the process of updating the components used in the Laser Interferometer Gravitational-Wave Observatory (LIGO) into the experiment now deemed Advanced LIGO (aLIGO). During this process, he led the installation of several suspensions at both the Hanford and Livingston aLIGO sites. This improved precision of aLIGO contributed to the first direct detection of gravitational waves in 2015, which led to the 2017 Nobel Prize in Physics.

Cite this Lecture

APA style

Hammond, G. (2022, January 12). Elasticity and Oscillations - Damping and Resonance [Video]. MASSOLIT. https://massolit.io/courses/elasticity-and-oscillations/damping-and-resonance

MLA style

Hammond, Giles. "Elasticity and Oscillations – Damping and Resonance." MASSOLIT, uploaded by MASSOLIT, 13 Jan 2022, https://massolit.io/courses/elasticity-and-oscillations/damping-and-resonance

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