Analytical Methods in Nonlinear Oscillations
β Scribed by Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari
- Publisher
- Springer Netherlands
- Year
- 2019
- Tongue
- English
- Leaves
- 296
- Series
- Solid Mechanics and Its Applications 252
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.
β¦ Table of Contents
Front Matter ....Pages i-xv
Introduction (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 1-27
Classical Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 29-71
Energy Balance Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 73-122
Residual Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 123-150
Semi-inverse and Variational Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 151-195
Integral Based Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 197-247
Nonlinearities in Nano- and Microsystems (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 249-286
β¦ Subjects
Engineering; Vibration, Dynamical Systems, Control; Applications of Nonlinear Dynamics and Chaos Theory; Computational Science and Engineering
π SIMILAR VOLUMES
<p>Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small
This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author?s original method for the analytical solution procedure of the pure nonlinear oscillator s
<p>This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the authorβs originalΒ method for the analytical solution procedure of the pure nonlinear oscillato