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Mechanical oscillators in Lagrange′s formalism – a thorough problem–solved approach This book takes a logically organized, clear and thorough problem–solved approach at instructing the reader in the application of Lagrange′s formalism to derive mathematical models for mechanical oscillatory systems, while laying a foundation for vibration engineering analyses and design. Each chapter contains brief introductory theory portions, followed by a large number of fully solved examples. These problems, inherent in the design and analysis of mechanical systems and engineering structures, are characterised by a complexity and originality that is rarely found in textbooks. Numerous pedagogical features, explanations and unique techniques that stem from the authors’ extensive teaching and research experience are included in the text in order to aid the reader with comprehension and retention. The book is rich visually, including numerous original figures with high–standard sketches and illustrations of mechanisms. Key features: Distinctive content including a large number of different and original oscillatory examples, ranging from simple to very complex ones. Contains many important and useful hints for treating mechanical oscillatory systems. Each chapter is enriched with an Outline and Objectives, Chapter Review and Helpful Hints. Mechanical Vibration: Fundamentals with Solved Examples is essential reading for senior and graduate students studying vibration, university professors, and researchers in industry.
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research.
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