Description: |
1. Kinematics of a point: representation in Cartesian and curvilinear coordinates, natural coordinates, path coordinates, polar, cylindrical, and spherical coordinates, one-dimensional motion, graphic representation: hodograph and tachograph curve. 2. Kinematics of a rigid body: planar motion, instantaneous center of rotation, herpolhode, polhode; spatial motion, spatial rotations, Euler- and Kardan angles, general spatial motion, velocity twist 3. Foundations of kinetics: linear and angular momentum, Newton‘s and Euler‘s Laws 4. Kinetics of rigid bodies: angular momentum, uniaxial rotations, properties of the moment of inertia, radius of inertia, Euler‘s Law for uniaxial rotations, elements of spatial rotations: Euler‘s differentiation rule for relative motions, inertia tensor, dynamical Euler equations; planar motion, Newton‘s and Euler‘s Laws applied to free-body diagrams 5. Law of the conservation of energy: notion of work and power, potential/conservative forces, conservation of energy for point masses and rigid bodies 6. Kinetics of the center of mass: linear motion equations for systems with variable mass. |
Literature: |
Magnus, Müller Grundlagen der Technischen Mechanik Teubner Studienbücher Gross, Hauger, Schröder, Wall Technische Mechanik Springer Lehrbuch Pestl Technische Mechanik BI Wissenschaftsverlag Böge Technische Mechanik Vieweg Fachbücher der Technik Hagedorn Technische Mechanik Verlag Harri Deutsch |