This course is mainly for students who have selected the field of mechanical engineering (Department of Mechanical Engineering) and lectures on the following points as an introductory course to various applied mechanics in the field.
1. Statics (mass point, rigid body, moment of a force, etc.)
2. Dynamics of a mass point (relative motion, Coriolis acceleration, etc.)
3. Dynamics of a rigid body (moment of inertia, angular momentum, tensor of inertia, gyroscopic effect, etc.)
The notable aim of this course is to reinforce the understanding gained in Fundamentals of Mechanics, a first-year general education course, and for students to gain ability in solving specific mechanics problems in theory and by numerical calculation as students of mechanical engineering for whom mechanics is especially vital.
1. Statics: To understand force and moment that works on a point mass or rigid body.
2. Dynamics1: To understand relative motion, relative and Coriolis acceleration.
3. Dynamics2: To understancd inertia moment of a rigid body.
4. Dynamics3: To introduce Euler's formula of dynamics based on angular momentum and inertia tensor. And to understand gyro effect.
This class aims at learning of 1 in learning objective.
Statics, Truss and rahmen, motion of a mass point, motion of a rigid body
Intercultural skills | Communication skills | ✔ Specialist skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
This course consists of lectures including exercise problems.
Course schedule | Required learning | |
---|---|---|
Class 1 | Force acting on a mass point, and the balance of force | Express force by vector, and compose and decompose force. |
Class 2 | Force acting on a rigid body, and the balance of force | Learn the moment of force. Compose and decompose of force. |
Class 3 | Basic analysis of truss by means of the balance of force | Calculate the load applied to truss elements. |
Class 4 | Basic analysis of truss by means of the principle of the virtual work | Understand the principle of the virtual work, and analyze truss based on the principle. |
Class 5 | Relative motion (part 1): in two-dimensional rotary coordinate system | Understand the expression of relative motion in two-dimensional rotary coordinate systems. |
Class 6 | Relative motion (2): in three-dimensional rotary coordinate system | Understand the expression of relative motion in three-dimensional rotary coordinate systems. |
Class 7 | Motion of rigid body (part 1): Expression of motion, and the moment of inertia (part1) | Calculate the moment of inertia, and understand how to express the motion of a rigid body. |
Class 8 | Motion of rigid body (part 2): The theorem of the parallel axis | Understand the theorem. |
Class 9 | Motion of rigid body (part 3): Tensor of inertia | Understand the tensor of inertia. |
Class 10 | Motion of rigid body (part 4):The inertial ellipse body and the principal axes of the moment of inertia | Understand the concept of the inertial ellipse body and the principal axes of the moment of inertia |
Class 11 | Motion of rigid body (part 5): Angular momentum and kinetic energy | Understand angular momentum of inertia and kinetic energy. |
Class 12 | Motion of rigid body (part 6): coordinate transformation | Be able to transform between two coordinate systems. |
Class 13 | Motion of rigid body (part 7): the vector expression of angular velocity | Understand the vector expression of angular velocity. |
Class 14 | Euler equations of motion. | Learn Euler equations of motion. |
Class 15 | The gyroidal effect | Understand the gyroidal effect and express it mathematically. |
大熊政明著，「「新・工業力学」(数理工学社)
大熊政明著，「新・演習工業力学」（数理工学社）
To be evaluated based on the final exam.
You have to completed 'Fundamentals of mechanics 1 and 2' , or have equivalent knowledge.
Moreover, you have to have knowledge of Linear Algebra II (eigen value, eigen vector).