Introduction with problems of analysis and design of civil structures exposed to dynamic actions

Mastering of procedures used in dynamic analysis and design of civil structures

Introduction. Dynamics of discrete systems Systems with one degree of freedom; diff. eqs. Of motion; free, forced and resonant vibrations. Integral transformations. Time and frequency domains. Systems with more degrees of freedom. Free and forced vibrations. Eigenvalue problem and methods of solution. Normal coordinates. Solution of equations of forced vibrations. Modal analysis. Convolution integral. Methods of direct numerical integration (explicit and implicit). Problems with many degrees of freedom. Reduced modal analysis. Transformation methods using the Ritz and Lanczos vectors. Dynamics of continuous systems Vibrations of beams (axial, torsional and lateral). Use of the Laplace transformation. Lateral vibrations including normal forces. Coupled axial-lateral vibrations. The Finite element method and the Spectral element method for frames. Vibrations of thin-walled beams of opened and closed cross sections. Vibrations of cables. Vibrations due to moving loads. Dynamic models of complex systems Dynamic analysis of buildings. Continuous analysis, macro elements, finite elements. Analysis of pounding of buildings during earthquakes. Dynamic analysis of the cable supported structures (cable stayed bridges, masts, etc.). Dynamic interaction of vehicles and bridges. Dynamic analysis of a ship impact at the harbor of a bridge column. Dynamic analysis of buildings due to explosion.