Natural Oscillation Frequencies

AI Thread Summary
The discussion focuses on how the use of lighter materials in building construction affects natural oscillation frequencies and resonance issues. Lighter materials generally lead to higher natural frequencies, which reduces the likelihood of resonance with external vibrations from sources like trucks, airplanes, and wind. The relationship between mass and natural frequency is highlighted, indicating that a decrease in mass results in an increase in resonance frequency. The analogy of buildings as complex structures resembling springs and masses is used to illustrate these concepts. Understanding these dynamics is crucial for ensuring structural integrity and safety in modern architecture.
Charles Stark
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Homework Statement


Over the years, buildings have been able to be built out of lighter and lighter materials. how has this affected the natural oscillation frequencies of buildings and the problems of resonance due to passing trucks, airplanes, or by wind and other natural sources of vibration?

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The Attempt at a Solution


I don't think I fully understand the question. Upon reading I have found natural frequency equations and the concept of resonance as it applies to damping but I don't see how the mass of the materials effect these. My initial thought was that the natural frequencies were higher, making it less likely for passing frequencies to get close to the natural frequencies.
 
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Take a simple spring with an attached mass. How does the resonance frequency change if you make the mass lighter?
Buildings are a bit like very complex structures made out of springs and masses.
Charles Stark said:
making it less likely for passing frequencies to get close to the natural frequencies.
Why less?
 
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