Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems Via Explicit Harmonic Balance Method
Eric A. ButcherMem. ASME Associate Professor Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721 e-mail:Arman DabiriMem. ASME Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721 e-mail:Morad NazariMem. ASME Adjunct Faculty Department of Mechanical, Industrial, and Manufacturing Engineering, University of Toledo, Toledo, OH 43606 e-mail:
2015en
ABI
Аннотация
This paper presents a technique to obtain the transition curves of fractional periodic time-delayed (FPTD) systems based on a proposed explicit harmonic balance (EHB) method. This method gives the analytical Hill matrix of FPTD systems explicitly with a symbolic computation-free algorithm. Furthermore, all linear operations on Fourier basis vectors including fractional order derivative operators and time-delayed operators for a linear FPTD system are obtained. This technique is illustrated with parametrically excited simple and double pendulum systems, with both time-delayed states and fractional damping.
Перевод пока недоступен
Идентификаторы
Цитирования и источники
Цитирований: 2Использованных источников: 0