Structural Dynamics

Enable understanding of theoretical foundations and segments of Structural Dynamics for the calculation of beam and truss structures. Develop creativity and ability to understand, formulate and solve engineering problems independently.

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

Introduction. Fundamental terms. Inertia. Normal models of oscillation.
Continuous systems. Differential equation of beam motion.
Solving the differential equation of motion of a beam. Modal frequency and modal shapes.
Single degree of freedom system. Free and forced oscillations. Damped and undamped oscillations.
Discussion of the solution of the differential equation of damped free vibration of a single degree of freedom system.
Free vibrations of multi degree of freedom systems.
Dispalcement method - Inertial forces procedure.
Forced vibrations of multi degree of freedom systems.
Application of finite element method in structural dynamics.
Consistent mass matrix.
Modal superposition.
Basic concepts of aseismic design. Stochastic load. Method of equivalent static load.
Calculation of orthogonal frame structures due to an earthquake.

1. B. Ćorić, S. Ranković: Dinamika konstrukcija, Građevinska knjiga, Beograd

   (Original)

2. S. Brčić: Dinamika diskretnih sistema, Studentski kulturni cetar, Beograd, 1998

   (Original)

3. R. W. Clough, J. Penzien Dynamics of Structures, Berkeley, 2006

   (Original)

4. Edward L. Wilson , Three-Dimensional Static and Dynamic Analysis of Structures, Berekely, 2002

   (Original)

It is compulsory to solve and defend 2 project assignments during the semester. The projects 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.

Interactive lectures and exercises with work on individual assignments. Consultations.