Numbering Code	U-AGR03 2C142 LJ83	Year/Term	2022 ・ Second semester
Number of Credits	2	Course Type	Lecture
Target Year	2nd year students	Target Student
Language	Japanese	Day/Period	Tue.2
Instructor name	IIDA MICHIHISA (Graduate School of Agriculture Professor)
Outline and Purpose of the Course	The study of vibration is the basis of a dynamic understanding of physical phenomena. This course discusses the relationship between the required 1- and 2-degree-of-freedom vibration, forced vibration, and phenomena that occur in biological production machines. The Fourier transform, Laplace transform, and Lagrangian equations of motion necessary for vibration analysis are also described.
Course Goals	・To acquire the basic knowledge to express and analyze physical phenomena such as vibrations and waves using differential equations. ・To develop the ability to independently and continuously cope with problems (report). ・To understand the relationship between theory and practice (field).
Schedule and Contents	1. Basics of vibration (1 day): 　Outline of mechanical vibration phenomena and how they occur. 2. Analysis of harmonic vibration and Fourier series (2 days): 　Explanation of Fourier series, the basis of vibration analysis. 3. 1-degree-of-freedom vibration (3 days): 　Describing vibrations when no external force is applied (free vibrations) and understanding the fundamentals of natural vibrations and vibration analysis. 4. Forced vibration of 1-degree-of-freedom system (2 days): 　Method of analysis when a periodic external force or displacement acts on the vibration system and the phenomenon are described. The theory, convolution, and transient vibration when an impulse-like or step-like external force acts on the vibration system is described. 5. Laplace transform (2 days): 　Explanation of the Laplace transform used for solving the equations of motion. 6. 2-degree-of-freedom vibration (2 days): 　Theory of free vibration, forced vibration, and dynamic vibration absorber of 2-degree-of-freedom system. 7. Multi-degree-of-freedom vibration (2 days): 　Method of analysis of multi-degree-of-freedom system using Lagrangian equation and the reference coordinate system, discussion of how to find the eigenvalue, eigenvector, and the eigenfrequency by the energy method. Further, the torsion and longitudinal vibration of the rod, the lateral vibration of the yarn, and the vibration of the air column will be described. Feedback: During the feedback period, we lecturers will be available in the laboratory to answer students' questions. *The number of lectures on a particular topic are given in brackets.
Evaluation Methods and Policy	・Evaluation will be based on class performance (attendance/reports) (30 marks) and final examination (70 marks). ・The evaluation criteria and achievement level are in accordance with the "Evaluation Criteria and Achievement Level" described in the Student Handbook of the Faculty of Agriculture for the relevant year.
Course Requirements	It is advisable to have taken Mechanics or Applied Mathematics.
Study outside of Class (preparation and review)	Be sure to solve the examples and exercises explained in the class once by yourself.
Textbooks	Textbooks/References	基礎　振動工学　[第2版], 横山隆他2名, (共立出版), ISBN:978-4-320-08211-3