Application of fundamental principles and computational methods of dynamics developed in the lecture "Mechanics 2" to elementary problems of structural dynamics and hydrodynamics.

Contents: Dynamics of Solids and Fluids, Conservation of Momentum, Conservation of Angular Momentum. Applications to Rigid-Body Dynamics. Linear and Nonlinear Oscillations. Vibrations of Linear Elastic Beams. Kinetic Energy, The Law of Conservation of Kinetic Energy, and The Law of Conservation of Mechanical Energy. Applications to Single-Degree-of-Freedom Systems. Bernoulli`s Equation of Fluid Mechanics. Stability Problems (Equilibrium Configuration, Fundamental Motion). Stability of the Flow in Dipping Open Channels. Flutter Instability. Lagrange Equations of Motion. Natural Vibrations of an Elastically Supported Foundation. Multi-Degree-of-Freedom Oscillators. Unbalanced Rotor. Approximate Methods of Dynamics and Statics. Elastic Structures with Abstract Equivalent Systems. The Finite-Element Method. Linearization of Nonlinear Equations of Motion. Impact. Lagrange Equations of Idealized Impact. Water Hammer. Fluid Dynamics, The Navier-Stokes Equations. Similarity Flows. Potential Flows. The Singularity Method.

written

Textbook from Prof. F. Ziegler: Technische Mechanik fester und flüssiger Körper, Springer Verlag. There also exists an extended English edition.