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3-072-EarthQuakePartI-ModelingScenario

Author(s): Tracy Weyand

Keywords: earthquake vibration amplitude resonance undamped spring-mass system

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Abstract

Resource Image This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.

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Differential Equation Type
Technique
Qualitative Analysis
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Course Level
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Technology
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Key Scientific Process Skills
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Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

In this activity, students will analyze the motion of the roof caused by ground movement. Here we consider an undamped system. Pure resonance is addressed.

Part II of this modeling scenario involves damping of a one-story building's vibrations (and in particular, finding the damping the building should have to avoid collapsing).

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Authors

Author(s): Tracy Weyand

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