Topological Optimization of Nonlinear and Stochastic Oscillators
Abstract
Almost all physical systems possess nonlinearity in their dynamics. Due to their added complexity,these nonlinear effects are often suppressed with a controller or simply ignored. Similarly,noise, which is prevalent in the physical environment, is often an overlooked element in systemmodeling. As mechanical systems are optimized to have lower weights and higher flexibility,nonlinear and stochastic effects will become more conspicuous. Although both are typically detrimental,noise and nonlinearity can synergistically enhance a system~s dynamic response (e.g., thestochastic resonance phenomenon). A fundamental understanding of how to exploit nonlinearityand stochasticity in continuous systems will significantly improve our ability to create a wide rangeof noise-utilizing systems. However, the lack of an ability to incorporate tuned nonlinearity intocontinuous systems poses an obstacle in pursuing noise utilization research. To this end, the PIproposes to study noise-utilizing nonlinear dynamics using an extension of topological optimizationand 3D printed experiments, which will enable novel, enhanced stochastic responses to beincorporated into continuous systems.The research objective of this proposal is to extend the theory of topological optimization (amathematical method that is used to find the optimal material distribution of a continuous structure)to include the stochastic regime to exploit noise. This work will include diagnostics of 3Dprinted material, mathematical modeling of the continuous system, nonlinear dynamic analysis,and an exploration of passive control of the resulting structures.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jun 13, 2019
- Source ID
- N000141912413
Entities
People
- Edmon Perkins
Organizations
- Auburn University
- Office of Naval Research
- United States Navy