Statistical Energy Analysis and Asymptotic Modal Analysis of Nonlinear and Nonconservative Engineering Systems - Research Topic Area 1.3.2 Multi-Dimensional and Dissipative Dynamical Systems
Technical Report,01 Sep 2014,28 Feb 2018
Duke University Durham United States
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The objective of this proposal is to advance Statistical Energy Analysis SEA and Asymptotic Modal Analysis AMA to consider the effects of nonlinear andor nonconservative systems. The PI will approach the objectives using a combination of theory and experiment. The PI will divide the study in to nonlinear and nonconservative problems. For nonlinear problems, the PI will begin by studying large deformations of 1-D structures and mimic the results of the Fermi-Pasta-Ulam FPU experiment to numerically examine the breakdown of equipartition of energy. The PI will theoretically examine structural boundary layers that are mathematically analogous to fluid boundary layers to build an extensible and general framework. To approach nonconservative problems, the PI will begin with a linear structure undergoing a Hopf bifurcation. Numerical experiments will examine the approach to the SEA limit as the number of modes becomes large. The PI will then combine efforts in nonlinear and nonconservative and extend toward studying coupling in multi-degree-of-freedom systems. Experiments will accompany numericaltheoretical studies.
- Operations Research