چکیده مقاله
Van der Pol VDP oscillator is an essential topic in applied dynamics to describe complex dynamical behaviors, chaotic motions, etc In this study, a novel method is proposed towards the analytical solution of the VDP equation as a quintessential example of nonlinear ordinary differential equations The presented technique takes advantage of generic trial functions and their derivatives substituted into the target differential equation Next, an optimization algorithm is tailored to minimize residual mean Initial/boundary conditions, on the other hand, are dealt with as the second objective of the optimization problem The proposed method was compared to two conventional analytical methods The judgment on their accuracy was made based on the Runge Kutta numerical method Accordingly, it was observed that the solutions of the proposed method were in tight agreement with the numerical method Furthermore, it was observed that the newly developed method circumvented the computational burden encountered when using the rival techniques The obtained results champion outperformance of this method compared with the rival analytical methods in terms of accuracy, simplicity, and robustness
کلیدواژهها
نویسندگان
Saeid Azanchilar
Department of Industrial Engineering, Amir Kabir University of Technology, Tehran, Iran
Benyamin Ebrahimpour
Dept of Mechanical Engineering, Babol Noshirvani University of Technology, Mazandaran, Iran
Seyyed Mohammadd Taghi Fatemi Ghomi
Department of Industrial Engineering, Amirkabir University of Technology Tehran, Iran
Seyed Ali MirMohammad Sadeghi
Dept of Mechanical Engineering, Babol Noshirvani University of Technology, Mazandaran, Iran
Nima Bakhshinezhad
Dept of Mechanical Engineering, Babol Noshirvani University of Technology, Mazandaran, Iran
شیوه ارجاع
Ebrahimpour, Benyamin and MirMohammad Sadeghi, Seyed Ali and Bakhshinezhad, Nima,1400,Analytical solution of nonlinear Van der Pol oscillator using a hybrid intelligent analytical inverse method,7th International Conference on Mechanics, Manufacturing, Industries and Civil Engineering,Tehran
ارائهشده در
مجموعه مقالات هفتمین کنفرانس بین المللی مکانیک، ساخت، صنایع و مهندسی عمران9 خرداد 1400 · تهران