The Duffing Equation: Nonlinear Oscillators and their by Ivana Kovacic,Michael J. Brennan

By Ivana Kovacic,Michael J. Brennan

The Duffing Equation: Nonlinear Oscillators and their Behaviour brings jointly the result of a wealth of disseminated learn literature at the Duffing equation, a key engineering version with an unlimited variety of functions in technology and engineering, summarizing the findings of this learn. every one bankruptcy is written through knowledgeable contributor within the box of nonlinear dynamics and addresses a unique type of the equation, touching on it to varied oscillatory difficulties and obviously linking the matter with the maths that describe it. The editors and the participants clarify the mathematical options required to check nonlinear dynamics, supporting the reader with little mathematical heritage to appreciate the text.

The Duffing Equation offers a reference textual content for postgraduate and scholars and researchers of mechanical engineering and vibration / nonlinear dynamics in addition to a useful gizmo for practicing mechanical engineers.

  • Includes a bankruptcy dedicated to historic history on Georg Duffing and the equation that used to be named after him.
  • Includes a bankruptcy exclusively dedicated to functional examples of platforms whose dynamic behaviour is defined via the Duffing equation.
  • Contains a entire therapy of many of the varieties of the Duffing equation.
  • Uses experimental, analytical and numerical equipment in addition to options of nonlinear dynamics to regard the actual structures in a unified way.

Show description

Read or Download The Duffing Equation: Nonlinear Oscillators and their Behaviour PDF

Best differential equations books

Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures (Advances in Discrete Mathematics and Applications)

Extending and generalizing the result of rational equations, Dynamics of 3rd Order Rational distinction Equations with Open difficulties and Conjectures makes a speciality of the boundedness nature of strategies, the worldwide balance of equilibrium issues, the periodic personality of suggestions, and the convergence to periodic recommendations, together with their periodic trichotomies.

Rate-Independent Systems: Theory and Application (Applied Mathematical Sciences)

This monograph presents either an advent to and a radical exposition of the speculation of rate-independent structures, which the authors were engaged on with loads of collaborators over 15 years. the point of interest is usually on absolutely rate-independent structures, first on an summary point both with or perhaps with no linear constitution, discussing quite a few ideas of recommendations with complete mathematical rigor.

Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

Comprises approximately 4,000 linear partial differential equations (PDEs) with solutionsPresents suggestions of various difficulties correct to warmth and mass move, wave idea, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction thought, quantum mechanics, chemical engineering sciences, electric engineering, and different fieldsOutlines uncomplicated tools for fixing numerous difficulties in technological know-how and engineeringContains even more linear equations, difficulties, and suggestions than the other e-book at present availableProvides a database of try difficulties for numerical and approximate analytical equipment for fixing linear PDEs and platforms of coupled PDEsNew to the second one EditionMore than seven-hundred pages with 1,500+ new first-, second-, third-, fourth-, and higher-order linear equations with solutionsSystems of coupled PDEs with solutionsSome analytical equipment, together with decomposition tools and their applicationsSymbolic and numerical tools for fixing linear PDEs with Maple, Mathematica, and MATLAB®Many new difficulties, illustrative examples, tables, and figuresTo accommodate varied mathematical backgrounds, the authors keep away from at any place attainable using distinct terminology, define a few of the equipment in a schematic, simplified demeanour, and organize the fabric in expanding order of complexity.

Stability Analysis of Impulsive Functional Differential Equations (De Gruyter Expositions in Mathematics)

This booklet is dedicated to impulsive sensible differential equations that are a traditional generalization of impulsive usual differential equations (without hold up) and of useful differential equations (without impulses). this day the qualitative thought of such equationsis less than fast improvement.

Additional resources for The Duffing Equation: Nonlinear Oscillators and their Behaviour

Example text

Download PDF sample

Rated 4.87 of 5 – based on 42 votes