Mechanical Dynamics2
TeachersKUROSAWA, YoshioStaffInfo
Grade, SemesterYear 3 1st semest [Department of Mechanical and Precision System, Faculty of Science and Engineering]
CategorySpecial Subjects
Elective, CreditsElective 2credit
 Syllabus Number1D202

Course Description

Second or more-degrees-of-freedom systems and systems with constant vibration are described based on the knowledge of single-degree-of-freedom vibration system learned in Mechanical Dynamics 1. This course describes free vibration, natural frequencies, forced vibration and its resonance in linear vibration systems. Finally, nonlinear vibration systems and parametric resonance are introduced briefly.
In this class, it acquires knowledge, technology and ability about diploma policy 2 and 3 and 4.

Course Objectives

Vibration engineering in machine design is important to fatigue fracture under cyclic load. Also, it is important to refine design problems related to riding comfort in automobiles and so on. This course describes free vibration, natural frequencies, forced vibration and resonance in second-degree-of-freedom model composed of mass, spring and damper. The objective is to study basic principles and laws in vibration engineering.

Grading Policy

・Term-end examination : 65%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 15%
Students will not be evaluated when they are not attending lectures more than 2/3. Small test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.

Textbook and Reference

TextbookMechanical vibrationYoshio Iwata et alSurikougakusya 


The materials for each lesson will be uploaded on the LMS in advance, and the answers to the problem exercises performed during the lesson will be uploaded on the LMS until the next lesson.
Please prepare and review the lecture for about 3 hours each time.


Please bring a scientific calculator every lecture.
If you’re absent from lecture, please study and revise the topics taught on that day.


1Free vibration for two degrees of freedom by no damped system
2Free vibration for two degrees of freedom by torsional vibration system and car body vibration system
3Forced vibration for two degrees of freedom
4Lagrange equation
5Matrix vibration analysis (free vibration, orthogonality of eigenmode)
6Matrix vibration analysis (modal coordinate)
7Matrix vibration analysis (forced vibration)
8Short examination, vibration of continuum
9Commentary of the short examination and summary of the first half
10Vibration of string
11Free vibration for stick
12Forced vibration for stick
13Transverse vibration of beam
14Vibration of panel
15Term-end examination and summary