Optimal Rainbow Metamaterials for Extended Vibrational Stopbands

Meng, Han; Chronopoulos, Dimitrios

Abstract

Nonperiodic metamaterials can have better vibration attenuation than periodic metamaterials with properly designed resonator distributions. In this study, we propose optimal design routes for rainbow metamaterials. The rainbow metamaterials are nonperiodic structures that are composed of ?-shaped beams as backbones and attached spatially varying cantilever-mass resonators. The main optimization objective is to obtain good vibration attenuation within fre-quency of interests. Frequency response functions of the rainbow metamaterials are first calculated by an analytical model that is built on the basis of the dis-placement transfer matrix method. Two optimization objective functions are de-veloped with the maximum and average receptance values within a prescribed frequency range respectively. The mass of resonators acts as design variables. The objective functions are later solved by virtue of the Genetic Algorithm method. The optimized rainbow metamaterials show good vibration attenuation in the prescribed optimization frequency range.

Citation

Meng, H., & Chronopoulos, D. (2019, December). Optimal Rainbow Metamaterials for Extended Vibrational Stopbands. Paper presented at ICADO 2019: 13. International Conference on Aerospace Design and Optimization, London, UK

• Presentation Conference Type: Conference Paper (unpublished)
• Conference Name: ICADO 2019: 13. International Conference on Aerospace Design and Optimization
• Start Date: Dec 9, 2019
• End Date: Dec 10, 2019
• Deposit Date: Dec 12, 2019
• Publicly Available Date: Dec 12, 2019
• Keywords: Rainbow metamaterial, Optimization, Vibration attenuation, Genetic Algorithm
• Public URL: https://nottingham-repository.worktribe.com/output/3541417
• Related Public URLs: https://waset.org/aerospace-design-and-optimization-conference-in-december-2019-in-london