Course Overview

The course provides the foundations and advanced topics on dynamics in structures and mechanical systems, focusing onto the study of vibration theory associated with modal analysis, numerical method, and random vibration.

Learning Achievement

The course provides the foundations and advanced topics on dynamics in structures and mechanical systems, focusing onto the study of vibration theory associated with modal analysis, numerical method, and random vibration.
On completion of this course students should be able to summarize the foundations of vibration theory and be able to analyze a typical vibration problem by theoretical and numerical approach.

Competence

Associated with (1) use of knowledge, (2) management ability and (3) specialized knowledge

Course prerequisites

Foundations of Mechanics, Analysis, Linear Algebra, and Probability and Statistics

Grading Philosophy

Evaluation will be based on the final exam (60%), and the exercises and reports from the first to the tenth lesson (40%).
A total score of 60% or higher is required to pass the course.

Course schedule

Mathematical Model for Vibrations
Single-Degree-of-Freedom Systems
Numerical Evaluation of Dynamic Response
Multi-Degree-of-Freedom Systems: Equation of motion
Multi-Degree-of-Freedom Systems: Modal analysis
Vibration of Distributed-Parameter Systems: Wave Equation
Vibration of Distributed-Parameter Systems: Flexural Vibration of Beams
Vibration of Distributed-Parameter Systems: Vibration of Membranes and Plates
What is Random Vibration ?: Random Processes, Ensemble Averages, Autocorrelation, The Stationary and Ergodic Assumptions, Temporal Averages

Random Vibration: Frequency Decomposition of Stationary Random Process, Spectral Density, Gaussian Random Process, Wide-Band and Narrow-Band Random Processes, Linear Time-Invariant Systems

Random Vibration: Excitation-Response Relations for Stationary Random Process, Response of a Single-Degree-of-Freedom System to Stationary Random Excitation

Course type

Lectures

Online Course Requirement

Instructor

Asai Takehiko,Morita Naoki

Other information

Anytime by e-mail appointment

Site for Inquiry

Link to the syllabus provided by the university