2019 Solid Dynamics

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Academic unit or major
Graduate major in Mechanical Engineering
Inoue Hirotsugu 
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Course description and aims

In any undergraduate courses of Mechanical Engineering, students should have learned Mechanics of Materials and Mechanics of Vibration dealing with tension/compression of rod, torsion of shaft and bending of beam. In addition to such knowledges, basic knowledges of transient phenomena (impact and wave propagation) of such structural elements are also commonly important in Mechanical Engineering as well as in a wide range of Science and Engineering (ex. Seismology). Moreover, the knowledges about impact and wave propagation in solids are important to understand fracture and damage of materials due to impact that have many different aspects compared with static ones. This course provides such knowledges and their applications.

Student learning outcomes

(1) To be able to theoretically consider the deformation and vibration in elastic solids caused by impact in terms of displacement and stress.
(2) To be able to roughly understand impact phenomena of solids with damage and fracture.


Stress Wave, Reflection and Transmission, Acoustic Impedance, Longitudinal Wave, Shear Wave, Guided Wave, Impact and Collision

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

This course is given by a Lecture style. A homework related to the subject is imposed almost every week. Numerical computation is required to complete the homework in some cases.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Impact and wave propagation in solids To learn the difference between static and dynamic (impact and wave propagation) phnomena.
Class 2 Longitudinal impact and wave propagation in rods (one-dimensional wave equation, reflestion and transmission) To learn and apply the basic equation of longitudinal impact of rod.
Class 3 Longitudinal impact and wave propagation in rods (collision of rods, collision of rod and sphere) To learn the solutions of rod-rod impact and rod-sphere impact problems,
Class 4 Torsional impact and wave propagation of shafts To learn the basic equation of torsional impact of shaft.
Class 5 Bending impact and wave propagation in beams To learn the basic equation of bending impact of beam and to get knowledge of dispersive wave.
Class 6 Longitudinal wave and shear wave in three-dimensional medium To learn that there are only two kinds of waves (longitudinal and shear) in three-dimensional elastic medium.
Class 7 Guided waves in three-dimensional medium To learn that synthetic waves such as Rayleigh and Lamb waves are observed in elastic solids with boundary.
Class 8 Damage and fracture due to impact To learn that damage and fracture due to impact are quite different form those due to static load.



Reference books, course materials, etc.

Printed resume of the content of lecture will be provided.
Reference books in Japanese and/or English will be introduced in the class.

Assessment criteria and methods

The understandings and application ability are evaluated through homeworks around five times.

Related courses

  • MEC.C201 : Mechanics of Materials
  • MEC.C211 : Theory of Elasticity and Plasticity
  • MEC.D311 : Vibration Analysis

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Required knowledges are Mechanics of Materials, Theory of Elasticity and Plasticity, and Vibration Analysis of undergraduate level.

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