## Courses

##### An Introduction to Fracture Mechanics
In this course the problems of fracture mechanics (FM) is considered within the framework of the linear and nonlinear fracture mechanics. Important parameters relevant to LEFM, such as Stress Intensity Factors and Fracture Energy Release Rate are defined and methods for their evaluation are studied. Smeared crack approach of the fracture mechanics is considered in the second part of the course along with consideration of a real material such as the concrete. The nonlinear theory is presented ...
##### Applied Theory of Plasticity
The structural behavior followed by an estimation of the structural capacity may generally be obtained by using linear elastic methods and after that, suitable methods of the theory of plasticity. Such an approach is definitely complex and may lead to certain risks. In many practical cases the structural capacity may be evaluated by the means of the engineering theory of plasticity, in particular the limit state analysis. The necessary basic knowledge are given in the later approach in order to ...
##### Computer - Aided Analysis of Structures
modelling of flat and ribbed slabs. modelling based on plate finite elements, “grid” model. Properties and comparisons. modelling of lateral load resisting structures – walls with and without openings using membrane elements and “frame” model. Properties and comparisons. Loading on the structural walls through the floor slabs. Analysis of the lateral load resisting system subjected to seismic action. Ultimate loads for the seismic and non-seismic combinations of actions. modelling and ...
##### Dynamics and Stability of Hydraulic Structures
Students obtain knowledge on: free and forced vibrations of single degree of freedom (SDOF) systems; plane-stress and plane-strain state; finite elements method in Structural Dynamics; approximation of displacements; form functions; equivalent nodal forces; inertia forces; mass- and stiffness matrices; fluid-structure interaction; added mass; modal analysis; seismic excitation; determination of seismic loads through modal analysis and response spectrum method; seismic loads according to the ...
##### Dynamics and Stability of Structures
The modern structures must be precisely analysed for both global and local stability in connection with geometrical and material nonlinearities. Engineering structures are subjected to various dynamic loads. The aim of the offered course “Structural Dynamics and Stability” is to give all necessary knowledge for design of modern structures.
##### Dynamics of Structures
The course aims at teaching modelling of structures as dynamic systems (lumped and distributed masses) modelling of some kind of dynamic loads, modal analysis , harmonic analysis, transient analysis, spectrum theory and overall response analysis of structures to general dynamic loads and seismic motions in particular; some methods of vibroinsulation; FEM application in dynamics of structures.
##### Dynamics of Structures
The general purpose of the course is to provide basic knowledge needed to carry out dynamic analysis when structure is subjected to loads depending somehow on the time. Harmonic, pulse and arbitrary loads and action effects are studied. Opportunities for dynamic effects reduction are also considered. Single- and multi-degree of freedom systems are considered by means of effective solutions in time domain, frequency domain and numerical methods. Special attention is paid to seismic analysis. It ...
##### Earthquake-Resistant Design of Structures I
The first part of the course covers the basic methods for seismic response evaluation of structures. In addition to the theoretical background of the conventional approach, the essentials of the “Performance-Based Design” concept and advanced analysis techniques such as Static Nonlinear Analysis and Time History Analysis are introduced. The second part of the course is devoted to the design of steel structures in seismic regions. The major structural systems used for providing seismic ...
##### Finite Element Method
Students obtain knowledge on the contemporary theory and application of FEM for analysis of building structures and facilities. Skills are being acquired for dealing with a broader scope of problems: mechanical/mathematical formulation of one-dimensional, two-dimensional, and three-dimensional problems of the structural mechanics, algorithms and their computerized realization, use of various types of finite elements for modelling of complex space structures. Students are introduced to ...
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Major:
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students obtain knowledge on the modern theory and application of FEM for analysis of building structures and facilities. Skills are being acquired for dealing with wide range of problems: mechanical/mathematical formulation of one-dimensional, two-dimensional, and three-dimensional problems of the structural mechanics, algorithms and their computer rimplemetation, use of various types of finite elements for modelling of complex 3-D structures. Students are introduced to contemporary program ...
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method
Students learn the main equations of FEM; approximation of displacements, deformations and stresses; equivalent nodal forces; matrices of stiffness, masses and vector of free members; equations for equilibrium of the whole structure; modelling of plane and space frames under FEM; use of the program package SAP-90; computational models of frames and hydraulic structures; seismic loads and their calculation.
##### Finite Element Method (Applied course)
The course is intended to application of computer oriented numerical methods and simulations. The students are introduced to some of well known FEM computer program. After the end of the course the students have to be able to work with computer program like system environment end technology. It is supposed that the theoretical basis are obtained in FEM (basic course) or in the other theoretical courses of the master program.
##### Finite Element Method - basic and applied course
The suggested course is intended for students that follow the educational program for achievement of Master degree in Structural Engineering. The purpose of the course is to provide consistent knowledge in the theory of the Finite Element Method that is added to the basic knowledge obtained during the study of separate subjects in the previous course of education. That purpose is achieved mainly by general approach for the analysis of different objects in the structural engineering area and ...
##### Plastic Analysis of Structures
Students learn the basics of the deformational and incremental theory of plasticity (TP) for cases of two- and three-dimensional problems. Equations and relations are formulated in tensorial form. The simplest variant of TP - the limit state method - is considered in detail. It is applied to plane frames and plates. Students learn also the applied methods for estimation of the bearing capacity of plane frames and continuous beams taking into account the material non-linearity through a ...
##### Practical Training in Modelling and computation of bridge structures
The aim of the practical training is to illustrate how modeling, discretization and analysis (static, stability, dynamic and seismic) of transport structures are performed. Stress and strain analysis of 2D and 3D systems (frames, beam grillages, road slabs, shear walls, etc.) is performed, thereby helping students to prepare their course and diploma projects.
##### Practical Training in Statics of Structures
Contemporary software products for computation of frame structures, plates, discs and combinations of them: ANSYS, SAP and others. Basic component of a program system: processor (input data), computational module, postprocessor-numerical and graphic illustration and analysis of the results.
##### Practical Training in Statics of Structures
Contemporary software products for computation of frame structures, plates, discs and combinations of them: ANSYS, SAP and others. Basic component of a program system: processor (input data), computational module, postprocessor-numerical and graphic illustration and analysis of the results.
##### Practical Training in Statics of Structures
Contemporary software products for computation of frame structures, plates, discs and combinations of them: ANSYS, SAP and others. Basic component of a program system: processor (input data), computational module, postprocessor-numerical and graphic illustration and analysis of the results.
##### Stability of Structures
Students learn the methods of stability analysis of structures and their members (bars, arches, plates, shells); methods of analysis taking into account the P-delta effects; methods of estimation of effective (buckling) lengths, in compliance with the respective codes and practical requirements. They acquire skills for analysis of the local instability through contemporary numerical methods related to the above topics.
##### Stability of Structures
Students learn the methods of stability analysis of structures and their members (bars, arches, plates, shells); methods of analysis taking into account the P-delta effects; methods of estimation of effective (buckling) lengths, in compliance with the respective codes and practical requirements. They acquire skills for analysis of the local instability through contemporary numerical methods related to the above topics.
##### Stability of Structures
The course appears to be a part of interdisciplinary profile of the modern civil engineering. The reason why it is included in curricula is that it creates opportunities to implement criteria against global and local loss of stability and contributes towards safe design and reliable structural systems. After completion of the course the students will be capable of doing stability analysis and to conclude whether the structure is safe from the viewpoint of stability or not. The use of modern ...
##### Statics of Structures I
Students obtain knowledge on methods for analysis of statically determinate and statically and cinematically redundant systems as well as skills for drawing diagrams of the internal forces, for computation of displacements in determinate and redundant structures, for drawing influence lines for forces and reactions in determinate systems; learning of methods for computation of redundant plane frames following the classical methods (method of forces and deformation method). They also acquire ...
##### Statics of Structures I
Students obtain knowledge on methods for analysis of statically determinate and statically and cinematically redundant systems as well as skills for drawing diagrams of the internal forces, for computation of displacements in determinate and redundant structures, for drawing influence lines for forces and reactions in determinate systems; learning of methods for computation of redundant plane frames following the classical methods (method of forces and deformation method). They also acquire ...
##### Statics of Structures II
Students obtain knowledge on: methods of analysis of determinate and redundant plane trusses and complex systems, arches, continuous beams, and beams on elastic foundation bed. Space frames are considered too. Skills are being acquired also for solution of problems related to influence lines for forces and displacements in determinate and redundant structures. Students get acquainted with the non-linear analysis of building structures. The knowledge on Statics of Structures II is essential for ...
##### Statics of Structures II
Students obtain knowledge on: methods of analysis of determinate and redundant plane trusses and complex systems, arches, continuous beams, and beams on elastic foundation bed. Space frames are considered too. Skills are being acquired also for solution of problems related to influence lines for forces and displacements in determinate and redundant structures. Students get acquainted with the non-linear analysis of building structures. The knowledge on Statics of Structures II is essential for ...
##### Structural Analysis Using ANSYS
Students acquire knowledge related to the disciplines Statics of Structures, Theory of Elasticity and Plasticity, Stability and Dynamics of Structures. Algorithms for nonlinear static and dynamic analysis of structures are developed. Reinforced concrete- and steel structures taken from the design practice (buildings and bridges) are modelled. Computer-aided seismic analysis of structures is carried out in compliance with the Bulgarian codes.
##### Structural Mechanics I
Students acquire basic skills in: Theoretical Mechanics and Strength of Materials. In Theoretical Mechanics the accent is put on the types of systems of forces, the support reactions in cantilevers and free beams, and the methods of computation of forces in plane trusses. Strength of Materials considers the methods for computation of internal forces in cantilevers and systems of free beams. Students obtain also basic knowledge on simple static models: stresses and detailing corresponding to ...
##### Structural Mechanics I
Students obtain knowledge on: cinematic analysis of plane frame structures; computation of internal forces and influence lines in statically determinate hinged beams, frames and trusses; moving loads; methods of computation of extreme values of the internal forces and envelope diagrams; methods of calculation of displacements in statically determinate frames and trusses. Skills are acquired for redundant systems analysis according to the method of forces - internal forces, reactions and ...
##### Structural Mechanics I
Students obtain knowledge on: cinematic analysis of structures; computation of internal forces in statically determinate frames and trusses; influence lines in hinged beams and trusses; methods for determination of displacements in elastic systems; method of forces for computation of internal forces and displacements in statically indeterminate structures. Basic skills are acquired for thin elastic plate analysis.
##### Structural Mechanics I
Students obtain knowledge on: cinematic analysis of structures; computation of internal forces and influence lines in statically determinate frames and trusses; moving loads; methods for computation of extreme values of the internal forces and envelope diagrams; methods of computation of displacements in determinate frames. They acquire also skills for analysis of statically indeterminate structures according to the method of forces (frames, continuous beams, trusses) as well as for application ...
##### Structural Mechanics II
Students acquire basic skills and knowledge on the subject Statics of Structures while studying frame statically determinate- and statically redundant structures used in architectural and engineering practice. They gain certain experience in the computation of internal forces in hinged beams and three-hinged frames as well as in learning methods for analysis of statically redundant systems (frame and continuous beam)
##### Structural Mechanics II
Students obtain knowledge on: The displacement method for analysis of frames; some basic topics of the dynamics of structures - dynamic loads, free and forced vibrations of single degree of freedom- and multi degree of freedom systems; modal analysis, seismic excitations; determination of seismic loads through modal analysis, response spectrum method, and according to the seismic building codes. They acquire skills on the application of the theory of second order for computation of buckling ...
##### Structural Mechanics II
Students obtain knowledge on the displacement method for analysis of frame structures and continuous beams. They acquire also skills for the application of the theory of second order for computation of buckling loads in frames according to the displacement method; introduction to dynamics of structures - dynamic loads, free and forced vibrations of single degree of freedom- and multi degree of freedom systems; modal analysis; seismic excitations; seismic forces according to the seismic building ...
##### Structural Mechanics II
Students acquire knowledge on the displacement method for analysis of frames and beams. Skills are gained for computation of buckling loads in beams and frames, and basic notions are obtained for the dynamics of structures - dynamic loads, free and forced vibrations of single degree of freedom- and multi degree of freedom systems; modal analysis; seismic excitations; determination of seismic loads through modal analysis, response spectrum method, and according to the seismic building codes. ...
##### Theory of Elasticity and Plasticity
Students obtain knowledge on: methods of analysis of the stress-and-strain state of structural walls, shear walls, plates, shells, etc. , modelled as plane or space structures; approaches to taking the real material behaviour into account. They acquire skills for solving problems with material non-linearity and with equilibrium method of plastic analysis; some numerical methods related to the practical implementation of the above topics.
##### Theory of Elasticity and Plasticity
Students obtain knowledge on: methods of analysis of the stress-and-strain state of structural walls, shear walls, plates, shells, etc. , modelled as plane or space structures; approaches to taking the real material behaviour into account. They acquire skills for solving problems with material non-linearity and with equilibrium method of plastic analysis; some numerical methods related to the practical implementation of the above topics.
##### Theory of Elasticity, Dynamics and Stability
This course includes three sections of Structural Mechanics. The first section, Applied Theory of Elasticity, is a continuation of Strength of Materials and Statics of Structures. It covers the stressed and strained state of two-dimensional systems. The second section, Stability of Elastic Systems, covers the theory of 2nd order for determination of the critical forces in building structures. The third section, Dynamics of Elastic Systems, covers methods of analysis of structures under dynamic ...
##### Theory of Elasticity, Dynamics and Stability
This course includes three sections of Structural Mechanics. The first section, Applied Theory of Elasticity, is a continuation of Strength of Materials and Statics of Structures. It covers the stressed and strained state of two-dimensional systems. The second section, Stability of Elastic Systems, covers the theory of 2nd order for determination of the critical forces in building structures. The third section, Dynamics of Elastic Systems, covers methods of analysis of structures under dynamic ...
##### Проектиране на стоманени конструкции за сеизмични въздействия
В първата част на този курс се разглеждат основните методи за изследване на сеизмичното реагиране на конструкциите. Освен теоретичните основи на традиционния подход, се дават и основните положения на концепцията “Performance-based design” и на модерни методи за оценка на ...
##### Строителна динамика и сеизмичен анализ
Студентите получават знания по: моделиране на конструкциите от динамична гледна точка като системи с една, с краен и с безкраен брой степени на свобода; собствени честоти и форми; моделиране и произход на някои динамични товари; методи за изследване на поведението на ...