Elastic Multibody Dynamics : A Direct Ritz Approach
Publication year: 2008
: 978-1-4020-8680-9
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 derivation of the motion equations of holonomic and of non-holonomic systems. The method is 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 representation and to a recursive representation, respectively, of the equations of motion.
: Physics and Astronomy, Central Equation of Mechanics, Mechatronics, Direct RITZ approach, Operators and recursive algorithms, Partial and ordinary differential equations of motion, Potential, Projection Equation, Rotation, Rotor, Torsion, mechanics, modeling, partial differential equation, robot, robotics, stability, partial differential equations, ordinary differential equations,
