Optimal design of composite granular protectors

Abstract

We employ an evolutionary algorithm to investigate the optimal design of composite protectors using one-dimensional granular chains composed of beads of various sizes, masses, and stiffnesses. We define a fitness function using the maximum force transmitted from the protector to a "wall" that represents the body to be protected and accordingly optimize the {topology} (arrangement), {size}, and {material} of the chain. We obtain optimally randomized granular protectors characterized by high-energy equipartition and the transformation of incident waves into interacting solitary pulses. We consistently observe that the pulses traveling to the wall combine to form an extended (long-wavelength), small-amplitude pulse.

13 pages, 23 figures (many with multiple parts), to appear in Mechanics of Advanced Materials and Structures

References in corpus (6)

• Discrete Breathers
• Energy trapping and shock disintegration in a composite granular medium
• Anomalous wave reflection from the interface of two strongly nonlinear granular media
• Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains
• Observation of two-wave structure in strongly nonlinear dissipative granular chains
• Pulse Dynamics in a Chain of Granules With Friction