Introduction to Perturbation Techniques

Ali H. Nayfeh (Autor)

Buch | Softcover

533 Seiten

1993
Wiley-VCH Publishers Inc.,U.S. (Verlag)
978-0-471-31013-6 (ISBN)

Infos

The similarities, differences, advantages and limitations of perturbation techniques are outlined in this text, which describes all approaches by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.

Autor

Ali H. Nayfeh received his BS in engineering science and his MS and PhD in aeronautics and astronautics from Stanford University. He holds honorary doctorates from Marine Technical University, Russia, Technical University of Munich, Germany, and Politechnika Szczecinska, Poland. He is currently University Distinguished Professor of Engineering at Virginia Tech. He is the Editor of the Wiley Series in Nonlinear Science and Editor in Chief of Nonlinear Dynamics and the Journal of Vibration and Control.

Inhalt

Algebraic Equations.

Integrals.

The Duffing Equation.

The Linear Damped Oscillator.

Self-Excited Oscillators.

Systems with Quadratic and Cubic Nonlinearities.

General Weakly Nonlinear Systems.

Forced Oscillations of the Duffing Equation.

Multifrequency Excitations.

The Mathieu Equation.

Boundary-Layer Problems.

Linear Equations with Variable Coefficients.

Differential Equations with a Large Parameter.

Solvability Conditions.

Appendices.

Bibliography.

Index.

Produkt-Details

• Reihe/Serie: Wiley Classics Library
• Sprache: englisch
• Maße: 172 x 242 mm
• Gewicht: 851 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 0-471-31013-1 / 0471310131
• ISBN-13: 978-0-471-31013-6 / 9780471310136
• Zustand: Neuware