Course Title : Structural Dynamics

Code 10F227
Course Year Master and Doctor Course
Term 1st term
Class day & Period Tue 1st
Location C1-172
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Igarashi, Furukawa

Course Description

This course deals with dynamics of structural systems and related topics, to provide the theoretical basis to deal with the problems of vibration, safety under dynamic loads and health monitoring associated with infrastructures. The students will study the dynamic response, properties of natural modes and methods of eigenvalue analysis for multi-DOF systems. The topics on the numerical time integration schemes, probabilistic evaluation of structural response to random excitation, and dynamic response control techniques for structures are also studied.


Based on the results of a final examination, plus homework assignments

Course Goals

(1) To aquire the knowledge on theories and principles of analysis of MDOF systems (2) Systematic understanding of frequency-domain structural response analysis (3) Concept of analysis of numerical time integration schemes (4) Understanding of fundamentals of the random vibration theory

Course Topics

Theme Class number of times Description
Introduction 1 Fudamental concepts, harmonic motion
Dynamics of Multi-Degree-Of-Freedom Systems 2 Formulation of Eq. of Motion / Lagrange's method / Normal Modes / Modal Analysis / Modeling of System Damping
Frequency-Domain Analysis of System Response 1 Frequency Response Funcs. / Fourier Transform
Numerical Time Integration 2 Formulation / Stability and Accuracy Analysis of Integration
Random Vibration 6 Overview / Probability Theory / Sequence of i.i.d. Random Variables / Concept of Random Processes / Correlation Funcs. / White Noise / Stochastic Differential Eq. / Lyapunov Eq. / Response to White Noise Excitation / Covariance Matrix Approach / Correlation Funcs. of Random Response / Spectral Representation of Random Processes / Spectral Representation of Structural Response / Application
Structural Response Control 2 Active Control / Semi-Active Control
Achievement Evaluation 1 Students' achievements in understanding of the course material are evaluated.


Not used; Class hand-outs are distributed when necessary.



Mechanical vibration (undergraduate level), Complex calculus (integration of analytic functions, Fourier transform, etc.), Probability theory, Linear algebra

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