授業の主題
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Vibrations cause serious damage on machines and structures, and are also harmful to humans and environments. In this lecture, the students will acquire the fundamental knowledge to cope with vibration problems in engineering by learning the dynamic behavior of the simple vibrationm systems.
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授業の目標
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Students will acquire fundamental skills of vibration engineering with a view to properly capture the dynamic behavior of the actual mechanical systems, to model and to illustrate the phenomena in an appropriate manner.
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学生の学修目標
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1. To derive equations of motion for one- and two-degree-of-freedom systems, and also to find their solutions.
2. To properly capture the dynamics of existing mechanical systems and to explain substantive behavior theoretically.
3. To suggest possible vibration abatement techniques for the forced response of one-degree of freedom system.
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授業概要
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Week 1: Introduction; Course overview, Objectives of the course, illustration of vibration problems.
Week 2: Free vibrations of undamped single degree of freedom system - translational vibration.
Week 3: Free vibrations of undamped single degree of freedom system - rotational vibration.
Week 4: Free vibrations of undamped single degree of freedom system. - calculating equivalent mass and natural frequency by energy method.
Week 5: Free vibration of damped single degree of freedom system - linear viscous damping.
Week 6: Forced vibration of undamped single degree of freedom system – resonant vibration.
Week 7: Forced vibration of damped single degree of freedom system.
Week 8: Vibrations of single degree of freedom system having unbalanced mass, base-excited systems, isolation of vibrations.
Week 9: Transient vibration of single-degree of freedom systems, non-periodic forced response of systems.
Week 10: Mid-term exam.
Week 11: Free vibration of two degree of freedom systems: translational and rotational systems.
Week 12: Forced vibration of two degree of freedom systems: undamped and damped systems, dynamic absorbers.
Week 13: Miscellaneous systems and methods: dynamics of rotor systems, Lagrange equation, influence coefficient method, etc.
Week 14: Comprehensive studies of generalized problems
Week 15: Final exam.
Week 16: Course review
★Comment sheet will be distributed at the beginning of each lesson. Write down and submit any comment or question regarding the course content as necessary.
★Students will do an exercise on vibration-related quiz each classroom time.
★Students will be asked to submit their homeworks by the due date.
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評価方法と割合
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評価方法
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Scores in assignments and mid-term/final exams are considered for the final evaluation.
- Grading Scale: S: 90-100% ; A: 80-89 ; B: 70-79 ; C: 60-69 ; D: Below 60
More than 60% submission of assignments is required for the final evaluation. Absence to exams without notice will not be qualified.
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評価の割合
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Attendance to at least two-thirds of classes is required.
Midterm-exam: 30%
Final exam: 40%
Report: 30%
Assignments: 30%, Mid-term examination: 30%, Final examination: 40%.
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授業時間外の学修に関する指示
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特になし
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教科書・参考書
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教科書・参考書補足
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References:
- J. P Den Hartog, Mechanical Vibrations (1985), Dover Publications
- William J. Palm III, Mechanical Vibration (2006), Wiley
These are available at the University library. Other reading materials will be introduced by the instructor.
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オフィスアワー等（学生からの質問への対応方法等）
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- Tuesdays 16:30-18:00. In case the scheduled office hours are inconvenient for you, please make an appointment.
- Questions are also accepted by email. toshi@se.kanazawa-u.ac.jp
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履修条件
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その他履修上の注意事項や学習上の助言
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- Printed lecture outline will be distributed as necessary.
- Regular attendance to the course is strongly recommended.
- Exert yourself to understand the theoretical approach to the mechanical vibration problems by solving many examples.
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カリキュラムの中の位置づけ
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Advanced course: Mechanical vibrations II
Relevant fundamental courses: Calculus I and II, Physics I and II, Industrial mechanics, Control engineering.
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