Vibration Engineering |
KAWAMURA, Masaaki |
| Elective Requisites 2 credits |
|
【Aerospace Engineering･2nd semester】
19-1-1845-2993 |
| １． |
Outline |
|
This course covers fundamental concepts on the vibration of mechanical systems including an introduction to matrix methods and the Lagrange's equations of motion for one degree and two degrees of freedom systems (1-DOF and 2-DOF).
|
| ２． |
Objectives |
|
Upon successful completion of this course, you will be able to derive and solve ordinary differential equations for the following fundamental vibrations, and to explain the dynamics of them.
(1) 1-DOF Undamped Free Vibration
(2) 1-DOF Damped Free Vibration
(3) 1-DOF Undamped Forced Vibration
(4) 1-DOF Damped Forced Vibration
(5) 2-DOF Undamped Free Vibration
(6) 2-DOF Damped Free Vibration
(7) 2-DOF Undamped Forced Vibration
(8) 2-DOF Damped Forced Vibration
|
| ３． |
Grading Policy |
|
Homework: 20%, Mid-term exam: 40%, Final exam: 40%
|
| ４． |
Textbook and Reference |
|
Textbook ：保坂寛『機械振動学』東京大学出版会（2005年）ISBN-13: 978-4130628105
Reference：小寺忠、矢野澄雄『例題で学ぶ機械振動学』森北出版（2009年）ISBN-13: 978-4627667112
|
| ５． |
Requirements (Assignments) |
|
Differential Equations
|
| ６． |
Note |
|
|
| ７． |
Schedule |
|
| １. Overview of Mechanical vibration systems, Simple pendulum |
| ２. (1) 1-DOF Undamped Free Vibration (Solution of ODE) |
| ３. (2) 1-DOF Damped Free Vibration (Overdamping, Critical damping) |
| ４. (2) 1-DOF Damped Free Vibration (Underdamping) |
| ５. (3) 1-DOF Undamped Forced Vibration (Solution of ODE) |
| ６. (3) 1-DOF Undamped Forced Vibration (Resonant vibration) |
| ７. (4) 1-DOF Damped Forced Vibration (Steady‐state vibration) |
| ８. (4) 1-DOF Damped Forced Vibration (Solution of ODE) |
| ９. Mid-term exam |
| 10. (5) 2-DOF Undamped Free Vibration |
| 11. (7) 2-DOF Undamped Forced Vibration |
| 12. (6) 2-DOF Damped Free Vibration |
| 13. (8) 2-DOF Damped Forced Vibration |
| 14. Introduction to the Lagrange's equations of motion |
| 15. Derivation of ODEs with Lagrange's equations |
|
| １． |
Outline |
|
This course covers fundamental concepts on the vibration of mechanical systems including an introduction to matrix methods and the Lagrange's equations of motion for one degree and two degrees of freedom systems (1-DOF and 2-DOF).
|
| ２． |
Objectives |
|
Upon successful completion of this course, you will be able to derive and solve ordinary differential equations for the following fundamental vibrations, and to explain the dynamics of them.
(1) 1-DOF Undamped Free Vibration
(2) 1-DOF Damped Free Vibration
(3) 1-DOF Undamped Forced Vibration
(4) 1-DOF Damped Forced Vibration
(5) 2-DOF Undamped Free Vibration
(6) 2-DOF Damped Free Vibration
(7) 2-DOF Undamped Forced Vibration
(8) 2-DOF Damped Forced Vibration
|
| ３． |
Grading Policy |
|
Homework: 20%, Mid-term exam: 40%, Final exam: 40%
|
| ４． |
Textbook and Reference |
|
Textbook ：保坂寛『機械振動学』東京大学出版会（2005年）ISBN-13: 978-4130628105
Reference：小寺忠、矢野澄雄『例題で学ぶ機械振動学』森北出版（2009年）ISBN-13: 978-4627667112
|
| ５． |
Requirements (Assignments) |
|
Differential Equations
|
| ６． |
Note |
|
|
| ７． |
Schedule |
|
| １. Overview of Mechanical vibration systems, Simple pendulum |
| ２. (1) 1-DOF Undamped Free Vibration (Solution of ODE) |
| ３. (2) 1-DOF Damped Free Vibration (Overdamping, Critical damping) |
| ４. (2) 1-DOF Damped Free Vibration (Underdamping) |
| ５. (3) 1-DOF Undamped Forced Vibration (Solution of ODE) |
| ６. (3) 1-DOF Undamped Forced Vibration (Resonant vibration) |
| ７. (4) 1-DOF Damped Forced Vibration (Steady‐state vibration) |
| ８. (4) 1-DOF Damped Forced Vibration (Solution of ODE) |
| ９. Mid-term exam |
| 10. (5) 2-DOF Undamped Free Vibration |
| 11. (7) 2-DOF Undamped Forced Vibration |
| 12. (6) 2-DOF Damped Free Vibration |
| 13. (8) 2-DOF Damped Forced Vibration |
| 14. Introduction to the Lagrange's equations of motion |
| 15. Derivation of ODEs with Lagrange's equations |
|
|