Course code MašZ4053

Credit points 3

Dynamics of Machines I

Total Hours in Course81

Number of hours for lectures16

Number of hours for seminars and practical classes16

Independent study hours49

Date of course confirmation21.03.2017

Responsible UnitInstitute of Mechanics and Design

Course developers

author Mehānikas un dizaina institūts

Ēriks Kronbergs

Dr. sc. ing.

author lect.

Mārtiņš Dauvarts

Bc. sc. ing.

Prior knowledge

Fizi2021, Physics I

LauZ4190, Theoretical Mechanics II

Mate1029, Mathematics I

Mate1030, Mathematics II

Meha4008, Theoretical Mechanics I

Course abstract

The aim of the studying course is to get knowledge about mechanisms, machines and their classification, as well as machine units and their formation. Students learn the structure of mechanisms and their classification, as well as kinematic analysis. Understanding of the mechanism and machine dynamics serves as the base for solving problems of vibration isolation of machines.

Learning outcomes and their assessment

Knowledge - is familiar with the laws and operation of machinery and mechanisms. Knows the theoretical foundations of the actual motion detection and provision of machine units. Knowledge of graphical and analytical methods of analysis and design of mechanisms and machines - defense of the independent work.
Skills - are able to solve problems of machine and mechanism structure, kinematic, dynamic parameter optimization and machine vibration protection - defense of the independent work.

Competence - Ability to use the acquired professional knowledge and skills in practical work and studies for solving engineering problems - defense of the independent work.

Course Content(Calendar)

1. Mechanism, machines and their division. Machine unit. Mechanization and Automation. (Lecture 1h)
2. Components of the mechanism, moving joints. Kinematic pairs and chains. Structure diagram and links. (Lecture 1h, practical work 2h)
3. Repetitive links and universal structure formulas. (Lecture 1h)
4. Mechanism of structures and groups of structures. Calculating speeds for diadu mechanisms. (Lecture 1h, practical work 2h)
5. Speed and acceleration plans. (Lecture 1h, practical work 4h)
6. Methods of analytical kinematics of flat mechanisms - practical work: Crank-slider mechanism kinematics. (Lecture 1h, practical work 2h)
7. Determination of Force in Mechanisms. Calculation of inertial forces. Kinetostatics. Zhukovsky lever. (Lecture 1h)
8. Cardan shaft and cardan shaft kinematics. (Lecture 1h)
9. Rotational transmission and planetary transmission kinematics. (Lecture 1h, practical work 4h)
10. Involute conversation. Gear transmission synthesis. (Lecture 1h, practical work 2h)
11. Gear manufacturing methods. Adjusted gears. (Lecture 1h)
12. The kinematics of the beam mechanism. (Lecture 1h)
13. Synthesis of the beam mechanism. (Lecture 1h)
14. Friction in slides and hinges. (Lecture 1h)
15. Friction in screws pairs. Friction in bearings. (Lecture 1h)
16. Energy performance criteria for machinery. (Lecture 1h)

Requirements for awarding credit points

Test. The test is a joint assessment of completed and defended independent work and practical work.

Description of the organization and tasks of students’ independent work

1st independent work - Mechanism of speed and acceleration plans, its structure analysis - 18 h.

2nd independent work - Combined Gear Transmission Calculation, Structure Analysis - 18 h

Criteria for Evaluating Learning Outcomes

The student obtains a successful evaluation of independent work and practical work if the calculation methods are acquired and can explain the calculations.

Compulsory reading

1. Meriam J.L., Kraige L.G. Engineering Mechanics. Dynamics. New York: John Wiley & Sons, 2003. 744 p
2. Gary L. Gray, Francesco Costanzo, Michael E. Plesha. Engineering mechanics. Dynamics. New York : McGraw-Hill. 2013. 832 p

3. Ozols O. Mehānismu un mašīnu teorija. Rīga: Zvaigzne, 1974. 418 Ipp.

Further reading

1. Eckhardt H.D. Kinematic design of machines and mechanism. New York: McGraw-Hill, 1998. 612 p.
2. Wilson C.E, Sadler J.P. Kinematics and Dynamics of Machinery. New York: Harper Collins College Publishers, 1993. 797 p.

3. Rudņevs J., Ziņģis K. Mehānismu un mašīnu teorija. Rīga: Zvaigzne, 1986. 285 Ipp.

Periodicals and other sources

1. Theory of Mechanisms and Machines. A Scientific Electronic Journal. - ISSN 2079-021X.

2. Machine design. –


The study course is included in the compulsory part of the Bachelor's study program in Agricultural Engineering at Faculty of Agricultural Engineering. 3rd study year 5th semester.