Principles of Dynamic Analysis
Pp. 48-80 (33)
George T. Michaltsos and Ioannis G. Raftoyiannis
In this chapter, the most important aspects related to dynamic analysis of structures are presented.
Calculus of variations and energy principles such as d’Alembert principle, Lagrange equations of motion and
Hamilton principle are given in brief form. The general form of equations of motion is presented along with the most
common solution methods such as integral transformation or Ritz and Galerkin methods. The equations for free
vibration in axial, bending and torsional mode are solved for various boundary conditions. The problem of forced
vibrations is also presented for the above cases.
Civil Engineering Department National Technical University of Athens