Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2022Year School of Engineering K5019010 Specialized Education 機械力学I キカイリキガク　１ Dynamics of Vibrations I KIKUUWE RYO キクウエ　リョウ Higashi-Hiroshima 2nd-Year,  Second Semester,  3Term (3T) Weds1-4：ENG 220 Lecture Lecture 2.0 J : Japanese 3 : Undergraduate High-Intermediate 25 : Science and Technology 09 : Mechanical Engineering Newton's Laws of Motion; Free Vibration; Natural Frequency; Forced Vibration; Resonance Program of Mechanical Systems Engineering（Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill.Program of Material Processing（Abilities and Skills）・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to applyProgram of Energy Transform Engineering（Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill. The goal of this subject is to study the fundamental knowledge of vibrations in linear mechanical systems with a single and two degrees of freedom (SDOF and 2DOF systems). Students are required to understand the following contents:1) How to derive equations of motion according to Newton’s second law of motion2) Free vibrations in SDOF and 2DOF systems without/with damping3) Forced vibrations in SDOF and 2DOF systems without/with damping4) Principles of vibration isolation Lesson 1: Introduction to Mechanical VibrationsLesson 2: Newton’s Laws of MotionLesson 3: Single Degree-of-Freedom (SDOF) System, Free Vibration, Translation Movement Lesson 4: Single Degree-of-Freedom (SDOF) System, Free Vibration, Rotation MovementLesson 5: Forced Vibrations in the Cases of Sinusoidal Excitations by External Force and Base Displacement (Resonance, Resonance Curve)Lesson 6: Principle of Vibration Instruments (Vibrometer, Accelerometer)Lesson 7: SDOF System with Damping (Damping Force, Free Vibration, Damping Ratio)Lesson 8: Logarithmic Decrement, Forced Vibration due to Sinusoidal Excitation (Resonance, Half-Power Method)Lesson 9: Practice and Mid-Term ExaminationLesson 10: Forced Vibration in Damped SDOF System (Transmissibilities of Force and Displacement, Vibration Isolation), 2DOF System without Damping (1) (Equation of Motion, Free Vibration, Frequency Equation, Natural Frequency, Mode of Vibration)Lesson 11: 2DOF System without Damping (2), ExerciseLesson 12: Free Vibration in 2DOF System without Damping (Solution for Initial Condition) , ExerciseLesson 13: Forced Vibration in 2DOF System without Damping (Resonance, Vibration Absorber)Lesson 14: Forced Vibration in 2DOF System with Damping (Vibration Absorber, Modeling of 2DOF Systems)Lesson 15: Modeling of 2DOF SystemsMid-term and end-term examinations will be held. Report assignments will also be given. Textbook: Yasuda, K., Revised version, “Shindoukougaku-Kisohen”, Corona Publishing co., LTD Handouts and Exercise problems will be avilable through Microsoft Teams In lesson 1, students know what they study in this subject.In lesson 2, students study Newton’s laws of motion and how to derive the equations of motion.In lesson 3, students study the significance of a natural frequency of a free vibration in an SDOF system and how to solve the equation of motion.In lesson 4, students master how to derive the equation of motion for several SDOF systems.In lesson 5, students understand how to determine the solution of the forced vibration in a SDOF system subjected to external, sinusoidal force and base excitation.In lesson 6, students understand the principles of vibration instruments using a vibrometer and an accelerometerIn lesson 7, students study how to determine the solution of the SDOF system with damping and understand the influence of dampingIn lesson 8, students understand the logarithmic decrement which means one of the characteristics of damping. They study the resonance when a sinusoidal, external force is subjected to the system with dampingIn lesson 9, a mid-term examination is imposed.In lesson 10, students understand the principle of vibration isolation. They study the equations of motion, the natural frequencies, and the modes of vibration in 2DOF systems without damping.In lesson 11, students continue to study the contents of lesson 11 through exercises.In lesson 12, students study how to determine the solutions of free vibrations using initial conditions in 2DOF systems without damping.In lesson 13, students study how to determine the solutions of forced vibrations in 2DOF systems without damping, and also study dynamic vibration absorbers.In lesson 14, students study how to determine the solutions of forced vibrations in 2DOF systems with damping, and also study dynamic vibration absorbers.In lesson 15, students study how to derive equations of motion and their natural frequencies for several 2DOF systems. Grading will be made based on the written mid-term examination  (40%) and final examination (40%) and the reports (20%). Credits will be given to students who gain scores over 60%. Please fill in the class improvement questionnaire which is carried out on all classes.Instructors will reflect on your feedback and utilize the information for improving their teaching.
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