Vibrations of a circular membrane

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SUMMARY

The discussion focuses on understanding the relationship between two sets of figures depicting the normal vibration modes of a circular membrane, specifically from a physics lecture on vibrations. Figure 3.6 illustrates the first 14 modes of an ideal membrane, while the subsequent figures labeled J0, J1, J2, and J3 represent specific vibration modes. The correspondence between these figures is clarified, indicating that J0,1 corresponds to mode (0,1), J0,3 to (0,3), and so forth, highlighting that not all modes in one set are represented in the other.

PREREQUISITES
  • Understanding of normal modes in physics
  • Familiarity with circular membrane vibrations
  • Basic knowledge of mathematical notation for modes
  • Access to physics resources, such as lecture notes or textbooks
NEXT STEPS
  • Study the mathematical derivation of normal modes for circular membranes
  • Explore the physical implications of membrane vibrations in engineering applications
  • Review related concepts in wave mechanics and their applications
  • Analyze additional resources on vibrational modes in different geometries
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Students of physics, educators teaching wave mechanics, and engineers involved in acoustics or material science will benefit from this discussion.

svishal03
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Hi,

Please can anyone help me here?

Consider the link below;

http://online.physics.uiuc.edu/courses/phys193/Lecture_Notes/P193_Lect4_Ch4_Part2.pdf


I'm just trying to qualitatively undestand the pictures in the above link.

Consider Page 2 of 18

Now, consider figure 3.6

Figure 3.6 shows first 14 modes of an ideal membrane.

Just below figure 3.6 there is another figure titled 'Normal vibration modes of a circular membrane' named as J0,J1,J2,J3 from left to right and 1,2,3,4 from top to bottom.

Can anyone tell me the relationship between the two sets of figures (Figure 3.6 and figures below 3.6?).

Please help
 
Last edited by a moderator:
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J0,1 top left, corresponds to (0,1)
J0,2 corresponds to (0,2) - not shown
J0,3 corresponds to (0,3) - third along second row
and so on...
Not all all the figures in the upper set of diagrams are represented in the lower set, and vice versa. This is what is confusing.
 

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