The physical phenomena of fluids and elastic bodies, which are major research subjects in mechanical engineering, can be expressed
as the dynamics of a continuum with infinite degrees of freedom. The purpose of this course is to organize physical phenomena
covered in undergraduate courses on fluid mechanics, solid mechanics, vibration engineering, etc., from a more general standpoint
as continuum mechanics, and to understand the concept of continuum in relation to engineering phenomena.
The concept of continuum approximation can be applied to both microscopic and macroscopic objects while considering the time scale. Therefore, in order to acquire the ability to solve engineering problems from a broader perspective, topics related to continuum mechanics will be explained from various aspects by two instructors with different specialties.
The concept of continuum approximation can be applied to both microscopic and macroscopic objects while considering the time scale. Therefore, in order to acquire the ability to solve engineering problems from a broader perspective, topics related to continuum mechanics will be explained from various aspects by two instructors with different specialties.
The specific purposes of this class are:
・To understand the concept of continuum and to be able to solve the fundamental equations of continuum under the given conditions.
・To be able to explain physical phenomena specific to continuum based on the fundamental equations of continuum.
・To understand the concept of continuum and to be able to solve the fundamental equations of continuum under the given conditions.
・To be able to explain physical phenomena specific to continuum based on the fundamental equations of continuum.
- Students will be able to explain the concept of continuum.
- Students will be able to explain the properties of one-dimensional supersonic flow.
- Students will be able to apply oblique shock wave relations and Prandtl-Meyer function to explain two-dimensional supersonic flow-fields.
- Students who complete this course should have a clear understanding of continuous systems.
- Students will analyze vibrations of continuous systems and will develop mathematical techniques.
- Students will recognize the characteristics of the response of continuous systems.
| Presentation | Final report | Total. | |
|---|---|---|---|
| 1. | 10% | 10% | 20% |
| 2. | 8% | 8% | 16% |
| 3. | 8% | 8% | 16% |
| 4. | 8% | 8% | 16% |
| 5. | 8% | 8% | 16% |
| 6. | 8% | 8% | 16% |
| Total. | 50% | 50% | - |
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1． | Fundamental equations of continuum ・Concept of continuum ・Continuum approximation ・Control volume method |
Students are required to review the governing equation of fluid flow and the fundamental laws of thermodynamics. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 2． | Steady one-dimensional flow ・Propagation of infinitesimal disturbance and speed of sound ・Characteristic Mach number ・Stagnation condition |
Students are required to read the handout #2. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 3． | Normal shock-wave ・Calculation of normal shock-wave properties ・Stagnation conditions ahead of and behind a normal shock wave |
Students are required to read the handout #3. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 4． | Nozzle flow (1) ・Development of the governing equations for quasi-one-dimensional flow ・Compressible flow in converging and diverging ducts ・Supersonic nozzle and supersonic diffuser |
Students are required to read the handout #4. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 5． | Nozzle flow (2) ・Area-Mach number relation ・Flow properties through a convergent-divergent nozzle ・Supersonic nozzle flow with a normal shock inside the nozzle |
Students are required to read the handout #5. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 6． | Steady two-dimensional flow (1) ・Oblique shock relations ・Supersonic flow over concave corner ・Strong shock-wave and weak shock-wave |
Students are required to read the handout #6. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 7． | Steady two-dimensional flow (2) ・Weak wave produced by an infinitesimally small flow deflection ・Prandtl-Meyer expansion fan and Prandtl-Meyer function ・Pseudo shock-wave |
Students are required to read the handout #7. | 90minutes |
| Students are required to review the today's lesson by watching the lecture video recorded in the class room. | 100minutes | ||
| 8． | Fundamental of mechanical vibrations ・Principal elastic axes and elastic center ・Multi-degree of freedom systems ・Nonlinear vibration |
Students are required to look into the related information about some given topics. | 190minutes |
| 9． | Wave equation (1) ・Equation of motion for a string or cable ・Free vibration of a string with both ends fixed ・Modes and natural frequencies |
Students are required to look into the related information about some given topics. | 190minutes |
| 10． | Wave equation (2) ・Longitudinal vibration of a bar and rod ・Torsional vibration of a shaft or bar ・Modes and natural frequencies |
Students are required to look into the related information about some given topics. | 190minutes |
| 11． | Numerical solution methods for wave equations ・Fundamental of Python ・Computing with Python |
Students are required to look into the related information about some given topics. | 190minutes |
| 12． | Vibration of membranes ・Equation of motion ・Initial and boundary conditions ・Modes and natural frequencies |
Students are required to look into the related information about some given topics. | 190minutes |
| 13． | Transverse vibration of beams ・Equation of motion ・Initial and boundary conditions ・Modes and natural frequencies |
Students are required to look into the related information about some given topics. | 190minutes |
| 14． | Transverse vibration of plates ・Equation of motion ・Initial and boundary conditions ・Modes and natural frequencies |
Students are required to look into the related information about some given topics. | 190minutes |
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| The Others | 授業内および授業外で適宜フィードバックを行う． |
Week 1 - Week 7 : Will be introduced in the class.
Week 8 - Week 14 : Nonlinear dynamics.
Week 8 - Week 14 : Nonlinear dynamics.
Students are expected to be comfortable with the fundamental knowledge of Fluid dynamics and Thermodynamics.
Students should take “Fundamentals of mechanical vibrations” and “Vibration engineering”.
Students should take “Fundamentals of mechanical vibrations” and “Vibration engineering”.
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| Applicable | Description of working experience in vibration engineering. |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Mon Apr 07 04:03:53 JST 2025