Overview
Aims
To study the movement of material systems taking into account the causes of motion (dynamics and analytical mechanics) and not taking into account the causes of motion (kinematics)
Accumulation of knowledge from Mechanics (Cinematics, Dynamics, Analytical Mechanics) regarding the movement of material systems. The possible movements as well as those caused by forces are studied. Knowledge regarding the movement of the material point in space and plane.
Acquire knowledge about CSR (solid rigid body) motion in space and plane, as well as body systems. Travel charts.Differential equations of material point motion and CSR in its different movements. Principles of Analytical Mechanics.
- It is known to determine the trajectory, speed and acceleration of a moving point, under certain conditions.- To calculate the speed and acceleration of the bodies in different types of movements- Knowing how to draw the displacement diagrams for a 1GLC plane mechanism (kinetic freedom degree)
To know how to calculate the kinetic quantities (kinetic energy, mechanical work, momentum, kinetic moment) of a material point in motion, respectively of a body and system of bodies.
Course contents
1.CINEMATICA. Kinematics of the point. Study in Cartesian coordinates. 2. The kinematics of the point. The study in cylindrical and intrinsic coordinates. 3. CSR kinematics. Simple movements. Translation. Rotation with fixed axis 4. Particular movements of CSR. Rototranslation. Plan-parallel motion. 5. Plane-parallel motion. Travel charts. Spherical movement. General movement of CSR. 6.DINAMICA. The principles of classical mechanics. Fundamental equation of the dynamics of the material point 7. Dynamics of the free material point and subject to connections. 8. Inertial characteristics of material systems. Moments of inertia. 9. The general theorems of Dynamics. Impulse theorems. 10. Theorems of kinetic moment. Mechanical work. 11. The kinetic energy theorem. Conservative systems. Theorem of mechanical energy conservation. 12. ANALYTICAL MECHANICS. Principles of Analytical Mechanics. D'Alembert's principle. Kinetic-static method. 13. The principle of virtual mechanical work. The general dynamic case. 14. Principle of virtual mechanical work Balance configurations. Reactions.
Learning outcomes
Mechanics being a fundamental discipline, the content of the discipline is necessary for the study of other disciplines, such as the resistance of the materials, the static of the constructions, disciplines that form the basis of the specialized disciplines necessary for the graduates in the field of design and execution.
Assessment
Solving two theory topicsSolving 2 applications