Interest in metamaterials arises because they
produce novel properties like negative mass and modulus
which cannot be realized in conventional materials. As
the field of metamaterials develops, and research efforts
are directed towards fabricating and realizing them
physically, it is necessary to exhaustively understand their
dynamics. In this study, the detailed analytical modeling
of the design of a chiral mass-spring metamaterial system
is presented. The conditions and frequency interval(s)
where the effective dynamic parameters are negative are
clearly established. Simulation result indicates that when
both the translational and rotational resonance
frequencies of the material coincide, a perfectly single
negative parameter metamaterial is realized, which
alternate from purely (single) negative modulus to purely
(single) negative mass material at the point of resonance.
It is shown that the frequency band in which the system
exhibit simultaneously double negative (modulus and
mass) behavior can be widened by reducing the stiffness
of the horizontal spring, and maximum when the stiffness
is zero. Hence, the horizontal spring is apparently a
redundant member and may not necessarily be needed
when fabricating the chiral system in three-dimension.
Keywords : Double Negativity, Effective Bulk Modulus, Effective Mass/Mass Density, Metamaterial.