Modern Methods of Analytical Mechanics and their Applications

1. Front Matter

   Pages ii-vii

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2. The General Equations of Analytical Dynamics

   • V. V. Rumyantsev

   Pages 1-54

3. Effective Computations in Celestial Mechanics and Astrodynamics

   • C. Simó

   Pages 55-102

4. Stability and Bifurcation Problems

   • L. Salvadori, F. Visentin

   Pages 103-151

5. Invariant Sets of Mechanical Systems

   • A. V. Karapetyan

   Pages 153-210

6. Analytical Methods in Dynamical Simulation of Flexible Multibody Systems

   • M. Pascal

   Pages 211-253

7. Modern Analytical Methods Applied to Mechanical Engineering Systems

   • P. Hagedorn, W. Seemann

   Pages 255-344

The volume aims at giving a comprehensive and up-to-date view of modern methods of analytical mechanics (general equations, invariant objects, stability and bifurcations) and their applications (rigid body dynamics, celestial mechanics, multibody systems etc.). The course is at an advanced level. It is designed for postgraduate students, research engineers and academics that are familiar with basic concepts of analytical dynamics and stability theory. Although the course deals with mechanical problems, most of the concepts and methods involved are equally applicated to general dynamical systems.

• Dynamik
• Mechanik
• dynamics
• mechanics
• design
• dynamical systems
• mechanical engineering
• multibody system
• multibody systems
• Rigid body
• simulation
• stability
• stability theory

• Russian Academy of Sciences, Russian

  Valentin V. Rumyantsev, Alexander V. Karapetyan

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