# DYNAMICS OF A SQUARE MECHANICAL METAMATERIAL SYSTEM

## Abstract

Mechanical metamaterial system (MMS) is a class of material structures that exhibits negative Poisson’s Ratio instead of positive normally found in nature. The kinematics of the square MMS is well documented but its dynamics is not. We report here the derivation of the rotational dynamics obtained from applying the work-energy principle to a 2D square MMS system. In response to an externally applied force f, the angular velocity of each of the rotating unit of the square MMS as a function of the angle θ between two squares rotating away from each other is available under 'Additional Files' where f is the applied force, m is the mass of a unit square, ‘a’ is the length of the side of the unit square, θ is the angle between the sides of two adjacent squares whose corner vertices are connected as shown in diagrams above.

## Recommended Citation

Chan, K. C.
(2017)
"DYNAMICS OF A SQUARE MECHANICAL METAMATERIAL SYSTEM,"
*Georgia Journal of Science*, Vol. 75, No. 1, Article 86.

Available at:
https://digitalcommons.gaacademy.org/gjs/vol75/iss1/86