Course code BūvZ3173
Credit points 4.50
Total Hours in Course120
Number of hours for lectures16
Number of hours for seminars and practical classes32
Independent study hours72
Date of course confirmation22.05.2023
Responsible UnitInstitute of Civil Engineering and Wood Processing
Dr. sc. ing.
Dr. sc. ing.
BūvZB056 [GBUVB056] Structural Stability and Dynamics
The goal of the course is to acquire the necessary knowledge and skills, to be able to evaluate qualitatively and quantitatively the lattice bar systems from the point of view of their stability and dynamic strength.
Student knows the basic theoretical principles calculation methods within the studied program
Student is able to formulate calculation tasks and perform calculations independently, based on the learned theory
Student can justify and defend the methodology and results of his/her calculation work in the form of a discussion
These abilities and skills are strengthened and tested by completing 2 test tasks during the course in person, in the classroom, and 2 calculation tasks at home
Test 1: Critical force of an absolutely rigid bar system
Homework 1: Critical load of the frame
Test 2: Beam transverse oscillation spectrum and stress amplitudes
Homework 2: Dynamic analysis of the frame
The assessment of the results of the calculation work takes place in the form of a discussion with the teacher, or in the form of a seminar in the classroom, with the participation of the teacher and other students
1. Lecture: Basic concepts, critical force, Euler's problem – 1 h
Solving problems related to the topic of the lecture – 2 h
2. Lecture: Stability of the rigid bar system – 1 h
Solving problems related to the topic of the lecture – 2 h
3. Lecture: Stability of flexible beam– 1 h
Solving problems related to the topic of the lecture – 2 h
4. Lecture: Dependence of the critical force on the type of beam support – 1 h
Solving problems related to the topic of the lecture – 2 h
5. Lecture: Eccentrically pressed column – 1 h
Solving problems related to the topic of the lecture – 2 h
6. Lecture: Lateral buckling of a beam under flexure – 1 h
Solving problems related to the topic of the lecture – 2 h
7. Lecture: Stability of frames – 1 h
Solving problems related to the topic of the lecture – 2 h
8. Lecture: Determination of frame critical loads by displacement method and FE method – 1 h
Test 1: Critical force of an absolutely rigid bar system – 2 h
9. Lecture: Basic concepts of the theory of vibration – 1h
Solving problems related to the topic of the lecture – 2 h
10. Lecture: Self-vibrating systems with one degree of freedom and fundamental frequency – 1 h
Solving problems related to the topic of the lecture – 2 h
11. Lecture: Forced oscillations of one degree of freedom systems. Resonance – 1 h
Solving problems related to the topic of the lecture – 2 h
12. Lecture: Vibrations of elastic systems – 1 h
Solving problems related to the topic of the lecture – 2 h
13. Lecture: Transversal oscillations of beam. Determination of internal force amplitudes – 1 h
Solving problems related to the topic of the lecture – 2 h
14. Lecture: The spectrum of self-oscillations of frame – 1 h
Solving problems related to the topic of the lecture – 2 h
15. Lecture: Dynamic analysis of the frame with the Finite Element method – 1 h
Solving problems related to the topic of the lecture – 2 h
16. Lecture: Actions from impact loads – 1 h
Test 2: Beam transverse oscillation spectrum and stress amplitudes
1.Oral exam.
Exam content:
Two practical calculation tasks on the topics learned in the practical works
In the discussion, the student must demonstrate the ability to justify and defend the results of task calculations based on learned theoretical principles
2.All tests and homework provided in the study course must be completed and evaluated positively
Learning of theory questions by studying lecture materials and literature
Homework 1: Critical load of the frame
Homework 2: Dynamic analysis of the frame
Ability to navigate theoretical issues within the framework of the studied program, use special terminology correctly, know the special literature.
Ability to justify and defend the methodology and results of his/her calculation work in the form of a discussion.
Melderis I., Teters G. Būvmehānika: mācību grāmata. Rīga: Zvaigzne, 1977. 560 lpp.
Maguire, J. R., Wyatt T.V. Dynamics: an introduction for civil and structural engineers. / - 2nd ed. London: Thomas Telford, 2002. , 85 p. (ICE design and practice guides) LLUFB Lasītava - 624.04; Šifrs 06/228
Dynamic loading and design of structure. Edited by A.J. Kappos. London, New York: Spon Press, 2002. 374 p. LLU FB Lasītava 624.04 - 03/756
Busby, H. R., Staab G. Structural dynamics: concepts and applications / - Boca Raton, FL: CRC Press, 2017., 581 p. LLU FB Lasītava - 624.04; Šifrs 18/220
William, M. Structural dynamics. / Boca Raton, F : CRC Press, 2016., 265 p. LLU FB Lasītava - 624.04 ; Šifrs 18/225
Stavridi, L. T. Structural systems: behaviour and design. / - London: Thomas Telford, 2010. 2 sēj. : V. 1. Krātuve (Abonements)- Šifrs 11/5
Interneta resurss http://www.lbtu.lv/buvmehanika
Compulsory Course for the Professional Bachelor’s study programme “Civil Engineering”