(1) Can explain free vibration of single degree of freedom system and its solve natural frequency and logarithmic decrement factor.
(2) Can solve free vibration of multi degree of freedom system and solve its natural frequency and mode of vibration.
Outline:
Lectures will be conducted concerning the essentials of vibration engineering, which is indispensable for the seismic and wind resistant design of buildings and bridges.
In addition, a professor, who has experience as an engineer of bridge fabricator and has engaged in the design of steel bridges and steel structures, will conduct a lecture-style class on the essentials of vibration engineering, by using his experiences.
Style:
Classes will be conducted using handouts, slides, and note-taking.
Notice:
This course's content will amount to 90 hours of study in total. These hours include the learning time guaranteed in classes and the standard self-study time required for pre-study / review, and completing assignment reports. The course is open to students from any department. Students should write on the board in class and should not miss the review of the lecture.
Students who miss 1/3 or more of classes will not be eligible for evaluation.
The minimum score for a pass will be 60% based on the following performance evaluation methods. Miyoshi: Evaluations will be based on :
1. Exams (70%)
2. Reports (30%)
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Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Introduction to vibration engineering
Learn concerning the necessity of vibration engineering in the design of structures and how to model to consider their dynamic response mathematically |
Can explain the necessity of vibration engineering in the design of structures and how to model to consider their dynamic response mathematically
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| 2nd |
Free vibration of single degree of freedom system (1)
Learn concerning equation of motion and eigenfrequency and how to find the displacement response by solving an equation of motion |
Can find the eigenfrequency in free vibration of single degree of freedom system and the displacement response by solving an equation of motion
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| 3rd |
Free vibration of single degree of freedom system (2)
Learn concerning damping model, equation of motion with damping, damping coefficient, overdamping, critical damping, and damped vibration |
Can explain that vibration with damping is classified into overdamping, critical damping, and damping vibration using damping coefficient
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| 4th |
Free vibration of single degree of freedom system (3)
Learn concerning logarithmic decrement and how to find it and eigenfrequency by solving the equation of motion |
Can explain logarithmic decrement and calculate it and eigenfrequency by solving the equation of motion
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| 5th |
Steady-state vibration of single degree of freedom system (1)
Learn concerning steady-state vibration, transient vibration, and sympathetic vibration |
Can explain concerning steady-state vibration, transient vibration, and sympathetic vibration
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| 6th |
Steady-state vibration of single degree of freedom system (2)
Find resonance curve by solving the equation of motion in steady-state vibration and learn concerning phase and amplitude characteristics of steady-state vibration |
Can explain concerning the process for generating resonance phenomena by solving the equation of motion in steady-state vibration
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| 7th |
Steady-state vibration of single degree of freedom system (3)
Learn concerning forced vibration caused by displacement and external force |
Can find resonance curve and amplitude by solving the equation of motion in forced vibration
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| 8th |
Steady-state vibration of single degree of freedom system (4)
Learn concerning the principle of accelerometer and displacement gage using the equation of motion in forced vibration |
Can explain concerning the principle of accelerometer and displacement gage
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| 2nd Quarter |
| 9th |
Vibration of single degree of freedom system under random external force (1)
Learn concerning impulse and indicial responses of single degree of freedom system |
Can find displacement response and amplitude of single degree of freedom system caused by instantaneous action and explain concerning impulse and indicial responses
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| 10th |
Vibration of single degree of freedom system under random external force (2)
Learn how to find the response of a single degree of freedom system under random external force using impulse response and direct integration method |
Can find the response of a single degree of freedom system under random external force using impulse response and direct integration method
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| 11th |
Free vibration of multi degree of freedom system (1)
Learn concerning vibration model, equation of motion, and frequency equation in two degree of freedom system |
Can explain concerning vibration model and frequency equation in two degree of freedom system and find eigenfrequency and vibration mode by solving frequency equation
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| 12th |
Free vibration of multi degree of freedom system (2)
Learn concerning normalized mode and its characteristics of two degree of freedom system |
Can explain concerning normalized mode and its characteristics of two degree of freedom system
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| 13th |
Free vibration of multi degree of freedom system (3)
Learn how to find free vibration of two degree of freedom system using normalized mode under given initial conditions |
Can find free vibration of two degree of freedom system using normalized mode under given initial conditions
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| 14th |
Free vibration of multi degree of freedom system (4)
Learn how to extend from free vibration of two degree of freedom system to that of multi one |
Can explain how to extend from free vibration of two degree of freedom system to that of multi one
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| 15th |
Modal analysis
Learn concerning outline of modal analysis |
Can explain concerning outline of modal analysis
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| 16th |
Final exam
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