Vibrations of a circular membrane

AI Thread Summary
The discussion centers on understanding the relationship between two sets of figures depicting the modes of vibration of a circular membrane. Figure 3.6 illustrates the first 14 modes, while the subsequent figure categorizes normal vibration modes labeled as J0, J1, J2, and J3. The user seeks clarification on how these two sets correlate, noting specific correspondences between them, such as J0,1 with (0,1) and J0,3 with (0,3). There is confusion regarding the representation of modes, as not all modes in one figure appear in the other. This inquiry highlights the complexities of visualizing vibrational modes in circular membranes.
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
 
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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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