Energy trapping of thickness-shear vibration modes of elastic plates with functionally graded materials.
Energy trapping has important applications in the design of thickness-shear resonators. Considerable efforts have been made for the effective utilization and improvement of energy trapping with variations of plate configurations, such as adding electrodes and contouring. As a new approach in seeking improved energy trapping feature, we analyze thickness-shear vibrations in an elastic plate with functionally graded material (FGM) of in-plane variation of mechanical properties, such as elastic constants and density. A simple and general equation governing the thickness-shear modes is derived from a variational analysis. A plate with piecewise constant material properties is analyzed as an example. It is shown that such a plate can support thickness-shear vibration modes with obvious energy trapping. Bechmann's number for the existence of only one trapped mode also can be determined accordingly.
Wang
Ji
J
Yang
Jiashi
J
Li
Jiangyu
J
D000162:Acoustics; D003198:Computer Simulation; D004548:Elasticity; D004735:Energy Transfer; D008422:Materials Testing; D008567:Membranes, Artificial; D008962:Models, Theoretical; D033081:Shear Strength; D014732:Vibration
D008567:Membranes, Artificial