Dynamics of processes

The course is a substitute for:

Dynamics of Processes (12DPR)

Lecturer:

Tutor:

Synopsis:

Fundamentals of mechanical rigid body systems, hydromechanic and thermodynamic systems. Dynamic description (i.e. compilation of mathematical and simulating models) of different mechanical systems with application of vector and analytical mechanics methods. Deals with influence of passive resistances and power losses and with methods parameters identification of mechanical systems.

Requirements:

Syllabus of lectures:

1. Degrees of freedom. Bonds in systems. Geometry of mass.

2. Equilibrium of a body and of a body system, influence of passive resistances.

3. Kinematics of a body. Motion of a reference frame, relative motion, basic decomposition.

4. Analysis and synthesis of selected types of mechanisms.

5. Dynamics of translational, rotational and planar motions. Inertial forces and its moments.

6. Dynamics of mechanical rigid body systems - free body diagram

7. Lagrange equation, reduction of forces and masses.

8. Mechanical circuits. Vibration of mechanical systems, influence of passive resistances and non-linear parameters.

9. Basic quantities and equations of hydrodynamics, continuity equation and equation of motion.

10. Friction and local losses. Solving of flowrate with losses.

11. Unsteady flow, dynamics of hydraulic systems.

12. Hydrodynamic forces and moments. Turbine equation. Velocity and flowrate measurement.

13. Fundamentals of chemical thermodynamics.

14. Heat conduction and heat convection, dimensionless parameters, criterial equation.

Syllabus of tutorials:

1. Degrees of freedom, vector algebra of forces, moments of inertia.

2. Calculation of reactions in bonds of bodies and body systems.

3. Systems with passive resistances.

4. Translational, rotational and combined motions in two dimensions.

5. Analysis of linkages (four link, three link mechanisms)

6. Equations of motion for plane body motion

7. Application of Lagrange equations, forces and masses reduction

8. Systems with more degrees of freedom

9. Mechanic vibration, vibrometry

10. Laboratory: Modelling of dynamic system

11. Calculation of flow velocity and of pressure in conduit with losses

12. Laboratory: Measurement of flow parameters at experimental plant

13. Stoichiometric equation, combustion heat, oxygen and air consumption

14. Heat passage through composed wall

Study Objective:

Study materials:

1. Beer, F. P., Johnston, E.R. Vector Mechanics for Engineers (Statics, Dynamics). Fifth Edition, Mc Graw-Hill Book Company, New York, 1988.

2. Munson, B.R., Yong, D.F., Okiishi, T.H. : Fundamentals of Fluid Mechanics. John Wiley & Sons, Inc., New York, 1990.

3. Jílek, M.: Thermomechanics. Vydavatelství ČVUT Praha, 2002

4. Mareš, R., Šifner, O., Kadrnožka,J. : Tables of Properties of Water and Steam. VUITIUM Brno, 1999

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Cybernetics and Measurements- structured studies (compulsory elective course)