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3-073-EarthQuakePartII-ModelingScenario

Author(s): Tracy Weyand

Rose-Hulman Institute of Technology, Terre Haute IN USA

Keywords: earthquake vibration damping amplitude spring-mass system steady-state solution underdamped

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Abstract

Resource Image Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.

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Differential Equation Type
Technique
Qualitative Analysis
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Technology
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Key Scientific Process Skills
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Vision and Change Core Competencies - Ability
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Description

In Part I we analyzed how ground movement can cause vibrations in a building. Sometimes these resulting vibrations can end up being too big, resulting in discomfort of the people occupying the building or, in the worst case scenario, the building collapsing.

The process by which free vibrations diminish is called damping. Energy of the vibrating system is released by various mechanisms (usually several at once). In a vibrating building, friction at connections and the formation of microcracks are just two possible ways energy is dissipated. It is extremely difficult (and at times impossible) to describe each mechanism individually.

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Authors

Author(s): Tracy Weyand

Rose-Hulman Institute of Technology, Terre Haute IN USA

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