LV EN RU DE FR

Structural Stability and Dynamics

Course developers

Replaced course

BūvZ3173 [GBUV3176] Structural Stability and Dynamics

Course abstract

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.

Learning outcomes and their assessment

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

Course Content(Calendar)

Full time studies:
1. Lecture: General concepts of buckling. Bifurcation. Methods to determine buckling force of a structural member. (2h)
2. Solving problems related to the topic of the lecture. (3h)
3. Lecture: Differential equations of Euler’s column, boundary conditions, equations for typical columns with different end restrictions. (2h)
4. Solving problems related to the topic of the lecture. (3h)
5. Lecture: Buckling analysis of statistically undeterminate frames. (2h)
6. Solving problems related to the topic of the lecture. (3h)
7. Lecture: Buckling analysis based on initial imperfections of structures. Application limits of Euler’s method. Structural stability in Eurocodes. (2h)
8. Solving problems related to the topic of the lecture. Theory test. (3h)
9. Lecture: Linear elastic vibration of structures. Free vibration of single-degree-of-freedom (SDOF) systems. Free un-dumped and dumped vibration. (2h)
10. Solving problems related to the topic of the lecture. (3h)
11. Lecture: Forced vibration. Resonance. (2h)
12. Solving problems related to the topic of the lecture. (3h)
13. Free vibration of multi-degree-of-freedom (MDOF) systems. Forced fibration of undamped or dumped 2-DOF systems.
14. Solving problems related to the topic of the lecture. (3h)
15. Lecture: Multi spand structures. Precise and approximate methods of analysis. Design of structures subjected to dynimic loads. (2h)
16. Solving problems related to the topic of the lecture. Final test. (3h)

Part-time extramural studies:
All the topics intended for full-time studies are covered, yet the number of contact hours is ½ of the specified number of hours.

Requirements for awarding credit points

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

Description of the organization and tasks of students’ independent work

Learning of theory questions by studying lecture materials and literature
Homework 1: Critical load of the frame
Homework 2: Dynamic analysis of the frame

Criteria for Evaluating Learning Outcomes

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.

Compulsory reading

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

Further reading

Stavridi, L. T. Structural systems: behaviour and design. / - London: Thomas Telford, 2010. 2 sēj. : V. 1. Krātuve (Abonements)- Šifrs 11/5

Periodicals and other sources

Interneta resurss http://www.lbtu.lv/buvmehanika

Notes

Compulsory Course for the Professional Bachelor’s study programme “Civil Engineering”