DYNAMICS OF STRUCTURES
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Date
2026
Authors
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Journal ISSN
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Publisher
Université Mouloud Mammerie Tizi Ouzou
Abstract
In the design and evaluation of modern civil engineering structures, the consideration of
dynamic effects has become not only important but essential. Structures today are
increasingly exposed to various types of dynamic loads—ranging from machinery-induced
vibrations to impulsive actions, and, most critically, earthquakes. Understanding how these
structures respond under such conditions is the primary objective of structural dynamics.
This handout is specifically prepared for Master 1 professional students aiming to develop
both a strong theoretical foundation and practical competency in dynamic analysis. The
course begins by introducing the general concepts of dynamic behavior in structures, such as
inertia, damping, stiffness, and the fundamental role of differential equations in modeling
motion. From there, it moves methodically into the detailed study of Single Degree of
Freedom (SDOF) systems, which form the building blocks for understanding more complex
behavior.
The analysis of SDOF systems spans various loading scenarios:
Free vibration, where no external force is applied;
Harmonic and periodic forced vibration, which models continuous excitations
such as rotating machinery or rhythmic ground motion;
Impulsive loading, which represents short-duration high-intensity forces; and
Seismic excitation, where ground motion induces a base excitation requiring
careful response analysis.
With these foundations, the course transitions to the dynamic behavior of Multi-Degree of
Freedom (MDOF) systems. These more realistic models account for distributed mass and
stiffness, which are essential in the analysis of multi-story buildings and other complex
structures. Modal analysis is introduced as a powerful technique to decouple and solve the
equations of motion. The concepts of modal superposition and spectral analysis
provide the basis for efficient and accurate computation of dynamic responses, particularly for
seismic applications.
Each chapter builds logically upon the last, ensuring students develop both conceptual clarity
and analytical skill. Real-world examples, simplified modeling approaches, and a strong link
to structural engineering practice make the material especially relevant for future
professionals in design offices or those preparing for further specialization in earthquake
engineering or structural reliability.
By the end of this course, students will be able to:
Develop dynamic models for real structural systems;
Analyze their response under various types of loading;
Understand the principles behind modern dynamic analysis tools;
Interpret results and make informed decisions in the design process.
This handout serves both as a teaching aid and a long-term reference for professional practice in the field
Description
138 f. : ill. , 30 cm. (+ 1 CD-Rom)
Keywords
Structure: Dynamic
Citation
Structure