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YU Dianlong
WEN Jihong
LIU Yaozong
QIU Jing
WANG Gang
College of Mechantronics Engineering
and Automation,
National University of Defense
Technology,
Changsha 410073, China |
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FLEXURAL
VIBRATIONS BAND
GAPS
IN PERIODIC BEAMS INCLUDING
ROTARY INERTIA AND SHEAR
DEFORMATION EFFECTS*
Abstract: With the idea of the phononic crystals, the beams with periodic structure are designed. Flexural vibration through such periodic beams composed of two kinds of materials is studied. The emphasis is laid on the effects of rotary inertia and shear deformation. Based on the vibration equation, plane wave expansion method is provided. The acceleration frequency responses of such beams with finite structure are simulated by the finite element method. The frequency ranges of sharp drops in the calculated acceleration frequency response curves are in good agreement with those in the band structures. The findings will be significant in the application of the periodic beams.
Key words:
Phononic crystals Band gaps Rotary inertia Shear deformation |