Figure 6 - uploaded by Mehul Prakash Makwana
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15: A star shape is obtained by exciting the center of a hexagon array of clamped points at frequency Ω = 6.7903 for the Kirchhoff-Love model, near the second mode at point B in figure 6.14. Panel (a) shows the plate simulation, whilst panel (b) is the HFH effective medium simulation, both are for the finite radius of R = 0.01. Similar to the Helmholtz case the three characteristics are obtained due to the inherent three-fold symmetry of the structure.
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An asymptotic scheme is generated that captures the motion of waves within discrete, semi-discrete and continuous periodic media by creating continuum homogenised equations. Conventional homogenisation theory is a well-known classical method valid when the wavelength of any disturbance is long relative to the microstructure. Unfortunately many of t...
