Università degli Studi di Napoli "Parthenope"

Teaching schedule

Academic year: 
Belonging course: 
Course of Master's Degree Programme on CIVIL ENGINEERING
Disciplinary sector: 
Year of study: 
First Semester
Hours of front activity: 


Course description

The purpose of the course is to transfer to the students the fundamentals of structural dynamics, to provide them with the tools to characterize the behavior of structures subjected to earthquake and seismic-resistant design structures, also in respect of the most recent Italian and European regulatory requirements.


Knowledge and understanding:
- Knowledge about the modeling and analysis of the dynamic behavior of one or more degrees of freedom systems.
- Knowledge of the dynamic behavior of structures, even in non-linear field.
- Knowledge of design criteria and verification of structures in seismic areas.

Applying knowledge and understanding:
- Ability to integrate knowledge in the design of earthquake-resistant structures.
- Ability to use software.
- Apply methods and criteria for the design of a reinforced concrete framed building located in a seismic zone.

Making judgments:
- Present and compare different models and tools for assessing the dynamic response of structural systems.
- Identify and define indicators and descriptors to evaluate data and results
- Ability to identify possible and potential connections between the various aspects of a subject and / or of a problem.

Communication skills:
- Work together in a working group, defining objectives, activities, tools
- Present and articulate in writing and orally an elaborate group.

Learning skills:
- Reflect on the knowledge and skills of their education
- Identifying possibilities for further development of knowledge, skills and competencies.


They need the knowledge and skills acquired in the previous teachings of:
Stress Analysis, Structural Design of the Bachelor degree program. No prerequisites as part of the curriculum of the Master of Science.


DYNAMICS OF SINGLE DEGREE OF FREEDOM SYSTEMS (12 hours of frontal lesson, 6 hours of computer classroom exercise using a PC per student)

Single degree of freedom (SDOF) system: physical-mathematical model. Free oscillations in the absence of damping. Free damped oscillations in the time domain. Forced oscillations, not damped. Dynamic amplification, resonance. Forced oscillations, damped. Forced oscillations (variable force with any law), damped.

DYNAMICS OF MULTI-DEGREE OF FREEDOM SYSTEMS (12 hours of frontal lesson, 6 hours of computer classroom exercise using a PC per student)

Multi-degree of freedom (MDOF): matrices of the masses, the stiffness, the damping. Free oscillations of a MDOF in the absence of damping. Modal analysis. Frequencies, periods and modes of vibration of a 2-story shear-type frame. Decoupling the equations of motion. Structural damping. Free oscillations in the presence of damping: hypothesis of proportional damping (Rayleigh). Damping relative to typical structures. Forced oscillations, damped systems MDOF. Coefficient of modal participation.

EARTHQUAKES AND EFFECTS ON STRUCTURES (12 hours of frontal lesson, 6 hours of computer classroom exercise using a PC per student)

Nature and origin of earthquakes. Faults, seismic waves, measurements of seismic intensity, acceleration records. Measurements of seismic intensity. Elastic response spectra of SDOF systems. Performance characteristics (acceleration, velocity, displacement). Normalized spectra (Newmark-Hall). Principles of proper seismic design of structural frames. Concept of center of stiffness. Torsiodeformability and related problems. Regulatory approach (DM 14-01-08) to the seismic design. Limit states and return periods. Elastic response spectra dependent on the site. Damage to structures for violent earthquakes. Ductility. Nonlinear behavior of a section of reinforced concrete. Ductility of curvature. Reduction factor and ductility of a non-linear SDOF system. Relations between reduction factor and ductility.

STRUCTURAL ANALYSIS AND DESIGN FOR SEISMIC ACTION ACCORDING TO EUROPEAN AND ITALIAN BUILDING CODES (12 hours of frontal lesson, 6 hours of computer classroom exercise using a PC per student)

Concept of the design spectrum. Design spectrum according D.M. 2008. Defining behaviour factor. Regularity. Ductility classes. Capacity design. Linear static analysis. Limits of applicability. Accidental eccentricity. Checks at the SLV, the SLD. Response to the different components of the seismic action. Methods of analysis and verification criteria according to DM 2008. Linear dynamic analysis. RC construction: construction details. Geometric limitations, reinforcement for beams, columns, nodes. Design and verification of the structural elements (beams and columns).

Teaching Methods


- Notes in pdf format made available by the teacher on the web space dedicated to the course.
- Ramasco, R., Structural Dynamics, CUEN.
- Ministry of Infrastructure and Transport, Technical Standards for Construction, DM 14.01.2008.
- Ministry of Infrastructure and Transport, Commentary no. 617/2009 Application of Technical Standards for Construction approved with DM 14.01.2008.
- Eurocode 8 Design of structures for earthquake resistance.
- Chopra, Anil K., “Dynamics of Structures”, Prentice-Hall International Series in Civil Engineering and Engineering Mechanics.

Learning assessment

The exam is with an oral exam and includes a discussion of the weekly exercises conducted as part of the course and discussion of the theoretical and computational aspects presented. The student must demonstrate complete mastery of the tools used to perform the exercises and be able to justify the solutions adopted. It must also demonstrate to be able to understand the formal aspects, theoretical and practical content in design procedures.

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