2025Year

Second Semester

Advanced Mechanical Vibrations

Lecture

Advanced Mechanical Vibrations

Z1100037 Advanced Mechanical Vibrations

OISHI Hisami

2.0Credits

Tue.5Period

Shinjuku Remote

A) A high degree of specialized expertise　100%
B) The skills to use science and technology　0%
C) The ability to conduct research independently, knowledge pertaining to society and occupations, and sense of ethics required of engineers and researchers　0%
D) Creative skills in specific areas of specialization　0%

When treating the vibration of mechanical structures, it is necessary to consider how to treat from one degree of freedom to the continuous systems for its problems of vibration phenomenon. Therefore, in this course, based on the basis of mechanical vibration theory, we will take a representative example up to vibrations of the continuous systems and learn with basic exercises, solutions and characteristics on exercises. Specific effort goals are shown below :
(1) Understand how to calculate the equation of motion and how to treat vibration problems.
(2) Understand the development to multi-degree of freedom systems and master matrix expressions.
(3) Learn the eigenvalue problem and solution and understand the mode analysis.
(4) Understand how to calculate the equation of motion of continuous systems.
(5) Understand the solution method of the equation of motion of the continuous systems and master about the natural frequency and eigen mode.
(6) Learn analytical methods such as Laplace transform.

This lecture is based on the contents of mechanical dynamics and vibration theory learned in undergraduate.

Flip Teaching

[Course schedule and Preparation]
1: Guidance of this course and theoretical treatment of dynamic phenomena of mechanical system.
2: Fundamental of vibration and multi-degree of freedom systems 1 (1 degree and 2 degrees of freedom systems).
3: Fundamental of vibration and multi-degree of freedom systems 2 (from 2 degrees to multi-degrees of freedom systems).
4: From multi-degrees to infinite degrees of freedom system.
5: Method of solving the wave equation.
6: Derivation of the motion equation of beam.
7: Nondimensionalization of the motion equation of beam.
8: Method of solving motion equation of beam and boundary conditions.
9: Initial conditions and forced vibration of beam.
10: Method of solving the continuous systems by Laplace transform.
11: Derivation of frequency response function of continuous systems by Laplace transform.
12: Method of solving motion of beam with lumped mass by Laplace transform.
13: Rayleigh-Ritz method and approximate solution method．
14: Equations of motion for Timoshenko beam．
15: Review of the course.

Credit will be given to students who score 60 or more points in the report assignments.

Deepen understanding by conducting exercises. Provide feedback on the content in class.

Masatugu Yoshizawa and co-authors, “Mechanical Dynamics” (Asakura Shoten), (Japanese)
Hirofumi Miura and co-authors, “Mechanical Dynamics; Mechanism, Kinetics and Dynamics” (Asakura Shoten), (Japanese)

Tadahiko Kawai and Yoshinobu Fujitani, “Fundamental of Vibration and Response Analysis”(Baifukan), (Japanese)
Yasushi Tujioka, “Mechanical Dynamics” (Saiensu Sha), (Japanese)
Kaoru Hongo and Yoji Tuyuki, “Vibration Theory” (Morikita Publishing), (Japanese)

Tuesdays 14:20-15:00 Room 1772 or 1863 , Shinjuku Campus.

Because, this course is based on the contents of mechanical dynamics and vibration theory learned in undergraduate, I expect to have a review of these contents. In particular, the foundation of dynamics and vibration of one degree of freedom system is important. Also, because it imposes exercises, please check the level of comprehension of the course and compensate for insufficient understanding. Please solve these problems and check where you understood or not, and prepare for the next lecture.

Not applicable

Mechanical Engineering Program