Stability of structures

Enable understanding of theoretical foundations and applications of the computational mechanics for the design of engineering structures with respect to their stability. Develop creativity and ability to understand, formulate and solve engineering problems independently.

Student is able and competent to analyze and solve problems of stability of engineering structures.

Introduction. Stability of static equilibrium. Stability of dynamic equilibrium. Critical load. Limit point. Nonlinear problem of stability. Linearization. Bifurcation. Snap trough. Stability of a beam. Differential equation beam bending in the presence of axial forces. Stability of plates. Stability if thin-walled structures. Influence of stiffeners. Equations of buckling. Spatial discretizition with finite element and finite strip method. Working with open-source and licensed software. Individual semestral assignments.

1. M. Đurić, Stabilnost i dinamika konstrukcija, Građevinski fakultet, Beograd, 1977.

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2. C. H. Yoo, S. C. Lee, Stability of structures - Principles and Applications, Elsevier, 2011.

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3. Sekulović M., Metod konačnih elemenata, Građevinska knjiga, Beograd, 1988.

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4. D. D. Milašinović: Metod konačnih traka u teoriji konstrukcija: sa računarskim programima, Student, Novi Sad, 1994.

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5. S. Timoshenko, J. M. Gere, Theory of Elastic Stability, McGraw-Hill, 1985.

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It is compulsory to solve and defend project assignment during the semester. The project must be submitted and defended by the start of next semester. If the students do not pass colloquiums during the semester, they can take correctional colloquiums during the regular examination period.

Auditory lectures and practical exercises. Work on project assignments in computational center by consulting with the assistant.