Wave Propagation in Auxetic Tetrachiral Honeycombs
This paper describes a numerical and experimental investigation on the flexural wave propagation properties of a novel class of negative Poisson's ratio honeycombs with tetrachiral topology. Tetrachiral honeycombs are structures defined by cylinders connected by four tangent ligaments, leading to a negative Poisson's ratio (auxetic) behavior in the plane due to combined cylinder rotation and bending of the ribs. A Bloch wave approach is applied to the representative unit cell of the honeycomb to calculate the dispersion characteristics and phase constant surfaces varying the geometric parameters of the unit cell. The modal density of the tetrachiral lattice and of a sandwich panel having the tetrachiral as core is extracted from the integration of the phase constant surfaces, and compared with the experimental ones obtained from measurements using scanning laser vibrometers.
© 2010 American Society of Mechanical Engineers. Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 11, 2009; final manuscript received November 10, 2009; published online April 22, 2010. Assoc. Editor: Jean-Claude Golinval. This work has been funded by the FP6 Project No. NMP3-CT- 2005-013641—CHISMACOMB.
Published - Tee2010p10154J_Vib_Acoust.pdf