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Solved Problems in Nonlinear Oscillations by Zeng He, Wen Jiang, Lin Wang




Solved Problems in Nonlinear Oscillations - Table of Contents

  • 1. Problem List
  • 2. Conservative Single-Degree-of-Freedom Systems and conservative sdof phase plane analysis
  • 3. Nonconservative Single-Degree-of-Freedom Systems and nonconservative sdof limit cycles self excited oscillations
  • 4. Forced Oscillations of Systems Having a Single Degree of Freedom and forced nonlinear oscillations harmonic balance resonance
  • 5. Parametrically Excited Systems and parametrically excited systems mathieu equation stability
  • 6. Systems Having Finite Degrees of Freedom and multi degree of freedom nonlinear systems mdof
  • 7. Continuous Systems and continuous nonlinear systems beam rod dynamics
  • 8. Traveling Waves and nonlinear traveling wave solutions continuous media

What You Will Learn in Solved Problems in Nonlinear Oscillations

Solved Problems in Nonlinear Oscillations by Zeng He, Wen Jiang, and Lin Wang is an authoritative, problem-oriented textbook providing an extensive selection of worked examples in nonlinear mechanics and dynamical systems. Structured systematically across 8 comprehensive chapters, this volume covers conservative and nonconservative single-degree-of-freedom systems, forced non-linear oscillations, parametrically excited motion, multi-degree-of-freedom networks, continuous medium dynamics, and non-linear traveling wave solutions.

Tailored for undergraduate and graduate students in mechanical engineering, applied mathematics, and physics, the authors emphasize practical analytical and perturbation techniques. Readers are guided step-by-step through phase-plane analysis, energy methods, harmonic balance, multi-scale expansions, and stability criteria for non-linear resonance.

Prized for its systematic solution methodology, detailed step-by-step derivations, and extensive problem sets, it stands as one of the best non-linear oscillations solved problems textbooks pdf available for academic study. It systematically equips students and researchers with core computational tools for mastering non-linear vibration problems with confidence.

Book Details & Specifications

Title: Solved Problems in Nonlinear Oscillations by Zeng He, Wen Jiang, Lin Wang
Publisher: Springer
Year: 2025
Pages: 969
Type: PDF
Language: English
ISBN-10 #: 9819761123
ISBN-13 #: 978-9819761128
License: CC BY 4.0
Amazon: Amazon

About the Author: Zeng He

The author Zeng He , Wen Jiang, and Lin Wang are prominent professors and researchers in mechanics and applied mathematics, affiliated with leading university departments in China.

Specializing in non-linear dynamics, structural vibration control, and continuum mechanics, the authors have published extensively on analytical methods for non-linear differential systems and vibration engineering.


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