Dynamics of Structures I

General

• Code: ΔΟΜ015
• Semester: 6th
• Study Level: Undergraduate
• Course type: Special Background
• Teaching and exams language: Ελληνικά
• Teaching Methods (Hours/Week): Lectures (4)
• ECTS Units: 5
• Prerequisite courses: (ΓΕΝ001 ) Differential and Integral Calculus Ι, (ΓΕΝ004 ) Differential and Integral Calculus ΙΙ, (ΔΟΜ012) Structural Analysis I – Determinate structures, (ΔΟΜ014) Structural Analysis II – Indeterminate structures
• Course homepage: https://elearning.cm.ihu.gr/
• Class Schedule:
  • Thu 09:00 - 11:00: Θ - Κολιόπουλος (206)
  • Fri 11:00 - 13:00: Θ - Κολιόπουλος (206)
• Exams Schedule:
  • 09/06/2026, 15:00 - 17:00:

Course Contents

Differences between static and dynamic response of structures. Dynamic loads. Degrees of freedom.
Formulation of equation of motion.
Systems with one degree of freedom (sdof):
Free undamped and damped vibrations. Forced vibrations under harmonic and impulsive forces.
Forced undamped and damped vibrations for any external load. Duhamel integral.
Response under ground motion. Numerical calculation of dynamic response.Response spectra.
Systems with many degrees of freedom (mdof):
Formulation of mass and stiffness matrices. Free vibration. Eigenfrequencieses and modeal shapes.
Orthogonality properties.
Forced vibations. Generalized mass, stiffness, external force. Decoupling techniques for the
evaluation of dynamic response.

Educational Goals

Understand how structures respond to dynamic loads. Evaluate the critical parameters that affect
the structural dynamic response. Construct and solve (analytically and/or computationally) the
equation of motions for sdof and mdof systems. Interpret and use earthquake response and design
spectra.

General Skills

-Search for, analysis and synthesis of data and information, with the use of the necessary technology
-Adapting to new situations
-Decision-making
-Working independently
-Team work
-Working in an interdisciplinary environment
-Project planning and management
-Criticism and self-criticism
-Production of free, creative and inductive thinking

Teaching Methods

Face to face.

Use of ICT means

Communication via e-mail and Zoom platform.
Additional material is provided via a dedicated e-learning
website.

Teaching Organization

Students Evaluation

Formative evaluation consisted of:
1.Non-compulsory intermediate tests (2 to 3 in total)
focused on solving problems (30% of final mark)
2. Final written exams that includes: a. Theoretical questions
of knowledge and critical thinking and b .Solving of
problems-exercises (70% of final mark)

Recommended Bibliography

• [12446]: Δυναμική συμπεριφορά των κατασκευών, Warburton Geoffrey Barratt
• [12280]: Δυναμική των κατασκευών, Chopra Anil K.
• [22768979]: Δυναμική Ανάλυση των κατασκευών, Κατσικαδέλης Ι.
• [320142]: Δυναμική των κατασκευών, Μανώλης Γ., Παναγιωτόπουλος Χ., Κολιόπουλος Π.
  (Ηλεκτρονικό βιβλίο)
• A.Chopra (2016), Dynamics of Structures, Prentice-hall International Series