Name
Abstract | ||
|---|---|---|
•It proposes a simple analytical approach to improve the accuracy of 1st-order averaging approximation, without resorting to high-order averaging, whose algebra is difficult, if not impossible, to perform for high-dimensional problems and/or when there are multiple high frequencies.•When averaged vector fields cannot be constructed analytically, a recently developed tool of weighted Birkhoff averaging is used to accelerate its numerical construction.•Section 3 demonstrates in details how the proposed method helps analyze and design a promising engineering device for wireless energy transfer (based on nonlinear parametric resonances), which has already passed multiphysics simulation tests and began to be fabricated by engineers. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cnsns.2018.11.003 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Highly oscillatory systems,Effective averaged dynamics,Nonlinear scale-isolation transform,Weighted Birkhoff averaging,Capacitive Parametric Ultrasonic Transducers (CPUT) | Journal | 71 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
23 | 1 | |