This textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics. On the basis of Lagrange's Principle, a Central Equation of Dynamics is presented which yields a unified view on existing methods. From these, the Projection Equation is selected for the derivationof the motion equations of holonomic and of non-holonomic systems. The methodis applied to rigid multibody systems where the rigid body is defined such that, by relaxation of the rigidity constraints, one can directly proceed to elastic bodies. A decomposition into subsystems leads to a minimal representationand to a recursive representation, respectively, of the equations of motion. Applied to elastic multibody systems one obtains, along with the use of spatial operators, a straight-on procedure for the interconnected partial and ordinary differential equations and the corresponding boundary conditions. The spatial operators are eventually applied to a RITZ series for approximation. Unified view on methods in dynamics Straight-on generic procedure for rigid and elastic multibody systems Clearly structured mathematical representation Easy physical insight and interpretation Simple algorithms for direct computer use INDICE: From the contents 1. Introduction; 2. Axioms And Principles; 3. Kinematics; 4. Rigid Multibody Systems; 5. Elastic Multibody Systems – The Partial Differential Equations; 6. Elastic Multibody Systems – The Subsystem Ordinary Differential Equations; 7. Elastic Multibody Systems – Ordinary Differential Equations; 8. A Short Excursion Into Stability And Control. References; Listof Symbols; Index.
- ISBN: 978-1-4020-8679-3
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 460
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés