The aim of the course aims is to present the analytical and computational methodologies applied to the analysis of the dynamics of complex mechanical systems and mechanisms, the prediction of dynamic and oscillatory behavior, and the experimental identification of important features such as modal characteristics.

Analytical dynamics: Principle of virtual work. Lagrange equations, Hamilton principle, equilibrium, stability – Discrete linear systems with symmetric and asymmetric matrices, modal analysis – Numerical methods for solving eigenvalue problems (iterative, Jacobi, Rayleigh‐Ritz, subspace iteration) – Numerical methods for solving the equations of motion (central difference, Newmark method), stability of numerical schemes –Approximate methods of analysis of continuum medium (Galerkin, finite element method) – Model reduction techniques – Introduction to mulit‐body dynamics – Experimental estimation of modal characteristics using vibration measurements (theory and applications) – Applications to machine dynamics, dynamics of complex mechanical systems (mechanical, aerospace, naval, civil, wind turbines)

Suggested Literature:

• Νατσιάβας Σ. ,Ταλαντώσεις Μηχανικών Συστημάτων, Εκδόσεις Ζήτη 2016.
•  Νατσιάβας Σ. , Εφαρμοσμένη Δυναμική, Εκδόσεις Ζήτη, 2017.
• Meierovitch L., Computational Methods in Structural Dynamics, Sijthoff and Noordhoff, The Nederlands, 1988.
• Shabana A. A. , Dynamics of Multi‐Body Systems, University Press, Cambridge 1998.
• Craig, Jr., R.R., Strucutral Dynamics: An Introduction to Computer Methods, John Wiley and Sons, 1981.
• Saad, Y., Iterative Methods for Sparse Linear Systems, 2nd Edition, SIAM, 2003.
• Pintelon, R., Schoukens, J., System Identification: A Frequency domain Approach, IEEE Press, 2001.
• Ewins, D.J., Modal Testing: Theory, Practice and Application, Research Studies Press LTD, 2000.

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Lectures