• knowledge of dynamic and stability analysis of structures methods;
• skills and abilities to carry out dynamic and stability analysis of structures.

• Mathematical analysis;
• Physics;
• Theoretical mechanics;
• Strength of Materials;
• Structural mechanics

Dynamic of Structures. Dynamic loads and analysis, lumped mass, degrees of freedom, damping. principles of dynamics. Equation of Motion. Dynamics of single-degree-of-freedom systems: influence of damping, critical damping, free viscous damped vibration, harmonic forced vibration, resonance, response to an impulse, general forced response. Dynamics of multiple-degree-of-freedom systems: free vibration, harmonic forced vibration. Rayleigh damping. Time response analysis using modal superposition and direct integration methods. Dynamics of continuous systems. Energy methods. Seismic Vibration and Structural Response. Response Spectrum Analysis. Vibration isolation Vortex Induced wind vibration. Structural Dynamics in Building Codes Stability of structures: definitions, criteria and models of stability; critical load. Equilibrium, energy and dynamic methods for buckling and post-buckling analysis of single and multi-degree-of-freedom systems. Elastic buckling of columns. The effect of Imperfections. Buckling of frames. Energy-based methods. Flexural-torsional buckling. Рlastic buckling of columns. Buckling of rings and arches. Lateral-torsional buckling of deep beams. Geometrically-nonlinear analysis of stability structures, geometric stiffness matrix. Dynamic stability.

1. Баженов В.А., Перельмутер А.В., Шишов О.В. Будівельна механіка. Комп'ютерні технології. Підручник. - К.: Каравела, 2009. 696 с.
2. Киселев В. А. Строительная механика. Спец. курс.: динамика и устойчивость сооружений : - 3-е изд., испр. и доп. - М.: Стройиздат, 1980. 616 с.
3. Clough R.W., Penzien J. Dynamics of Structures (3rd ed.) Computers & Structures, Inc., 2003. 730 p.
4. Timoshenko S.P., Gere J.M. Theory of elastic stability. (2nd ed.) McGraw-Hill, New York, 1961. 541 p.
5. Yoo Chai H., Lee Sung C. Stability of structures: principles and applications. Elsevier, 2011. 529 p.

Classes, tutorials 30 %; written exam 70%.

• knowledge of dynamic and stability analysis of structures methods;
• skills and abilities to carry out dynamic and stability analysis of structures.

• Mathematical analysis;
• Physics;
• Theoretical mechanics;
• Strength of Materials;
• Structural mechanics

Dynamic of Structures. Dynamic loads and analysis, lumped mass, degrees of freedom, damping. principles of dynamics. Equation of Motion. Dynamics of single-degree-of-freedom systems: influence of damping, critical damping, free viscous damped vibration, harmonic forced vibration, resonance, response to an impulse, general forced response. Dynamics of multiple-degree-of-freedom systems: free vibration, harmonic forced vibration. Rayleigh damping. Time response analysis using modal superposition and direct integration methods. Dynamics of continuous systems. Energy methods. Seismic Vibration and Structural Response. Response Spectrum Analysis. Vibration isolation Vortex Induced wind vibration. Structural Dynamics in Building Codes Stability of structures: definitions, criteria and models of stability; critical load. Equilibrium, energy and dynamic methods for buckling and post-buckling analysis of single and multi-degree-of-freedom systems. Elastic buckling of columns. The effect of Imperfections. Buckling of frames. Energy-based methods. Flexural-torsional buckling. Рlastic buckling of columns. Buckling of rings and arches. Lateral-torsional buckling of deep beams. Geometrically-nonlinear analysis of stability structures, geometric stiffness matrix. Dynamic stability.

1. Баженов В.А., Перельмутер А.В., Шишов О.В. Будівельна механіка. Комп'ютерні технології. Підручник. - К.: Каравела, 2009. 696 с.
2. Киселев В. А. Строительная механика. Спец. курс.: динамика и устойчивость сооружений : - 3-е изд., испр. и доп. - М.: Стройиздат, 1980. 616 с.
3. Clough R.W., Penzien J. Dynamics of Structures (3rd ed.) Computers & Structures, Inc., 2003. 730 p.
4. Timoshenko S.P., Gere J.M. Theory of elastic stability. (2nd ed.) McGraw-Hill, New York, 1961. 541 p.
5. Yoo Chai H., Lee Sung C. Stability of structures: principles and applications. Elsevier, 2011. 529 p.

Classes, tutorials 30 %; written exam 70%.