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PROJECT

Meshfree Modeling and Analysis
Plate Natural Vibration
 
 

The RFM was successfully used for solving problems of thin plate bending and computation of plates' natural frequences and natural vibration modes. Figure 1 shows a shape of a thin plate with fixed boundary. Figure 2 represents the first and the second vibration modes of the plate for different values of the parameter C. The computations were performed in SAGE system which can be downloaded here.


Figure 1: A plate with fixed boundary

(a)
(b)
(c)
(d)
(e)
(f)
Figure 2: Natural vibration modes of a plate shown in Figure 1: (a), (b) c=0.75; (c), (d) c=0.5; (e), (f) c=0.25
 
 

References

[1] V. L. Rvachev. Theory of R-functions and Some Applications. Naukova Dumka, 1982. In Russian.

  
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