Wave speed as a function of compression?

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Discussion Overview

The discussion centers on the relationship between compression and wave speed in beams, particularly in the context of an experiment involving tapered beams and their vibrational behavior. Participants explore how compression affects wave speed, especially in relation to the setup of the experiment and the materials used.

Discussion Character

  • Exploratory
  • Technical explanation
  • Experimental/applied

Main Points Raised

  • One participant describes an experiment with four tapered beams and observes that the wavelength decreases as the distance from the clamped end increases, suggesting a decrease in wave speed.
  • Another participant questions whether the beam consists of two parts, one under tension and the other under compression, seeking clarification on what is being compressed.
  • Some participants propose that if the discussion pertains to sound waves, the speed of sound is influenced by the bulk modulus, which may increase with compression, potentially leading to an increase in sound speed.
  • There is a repetition of the idea that the speed of sound is related to the bulk modulus, emphasizing that compression could affect wave speed in materials.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the waves being discussed (mechanical vs. sound waves) and how compression affects wave speed, indicating that multiple competing views remain without a consensus.

Contextual Notes

There are unresolved questions regarding the specific mechanics of the beams and the nature of the waves being studied, as well as assumptions about the materials' properties and their behavior under compression.

PhysicsMike
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Dear physics forum, I am doing an experiment on the vibrational behavior of beams and a question has come up that I can't answer. How does compression affect wave speed?

Brief overview of the experiment:

studying the change in vibrational behavior of a beam that is gradually tapered toward a point (equilateral triangle). Basically I have four beams:
Beam 1: uniform rectangle
Beam 2: tapering begins
Beam 3: more tapering
Beam 4: beam comes to a point at one end.

The beams are clamped at one end, with the other end open. If you take the ground to be the 'x-axis', then the length of the beam is in the 'x-axis', the width in the 'z-axis', and the height in the 'y-axis'. Aka the beam, which is quite flexible (synthetic trim board), does not sag due to gravity.
Their is a sin-wave generator located 100mm from the clamped end. I've found that even when i hang the beam, or stand it up (clamp closest to ground), the node placement does not change. What i have found, is that the wavelength decreases the farther i get from the clamped end, aka the wave speed is decreasing.
basically I've got compression on the bottom and tension on the top of the beam. I know v=sqrt(T/u), but does anyone have any insight into wave speed as a function of compression?

any insight is welcome, thanks
 
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Is the beam made out off two parts of which one is under tension and the other under compression? Or what is being compressed by what?Roman.
 
If you are talking about sound waves, the speed of sound depends on the bulk modulus. See https://en.wikipedia.org/wiki/Speed_of_sound
I suppose if most materials are compressed, the bulk modulus will increase, so the sound speed should increase.
 
If you are talking about sound waves, the speed of sound depends on the bulk modulus. See https://en.wikipedia.org/wiki/Speed_of_sound
I suppose if most materials are compressed, the bulk modulus will increase, so the sound speed should increase.
 

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