變分學在固力之應用
Variational Mechanics
學期
110-2
學分
3
學分
當期課號
5337
永久課號
IME5540
開課單位
機械工程學系
授課教師
金大仁
校區
光復
類別
選修
上課時間表
| 節 | 週一 |
|---|---|
2 09:00–09:50 | 變分學在固力之應用 EE229 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
Learn how to use Calculus of Variations to solve the problems of solid mechanics including the derivation of governing equations and the use of approximate methods (such as Ritz method, finite element method, etc.) to analyze the mechanical behavior of solids & structures.
先修科目
Mechanics of Materials, Engineering Mathematics I & II
教學方式
Blackboard writing
評分方式
Homework Assignment 6@5 points = 30 pts Mid-term Exam 35 pts Final Exam 35 pts Extra Credit (Report) 15 pts
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Review of mechanics of materials |
| 第 2 週 | Calculus of Variations I |
| 第 3 週 | Calculus of Variations II |
| 第 4 週 | Variational Principles of Elasticity I (Virtual Work) |
| 第 5 週 | Variational Principles of Elasticity II (Total Potential Energy) |
| 第 6 週 | Variational Principles of Elasticity III (Reissner's Principle) |
| 第 7 週 | Variational Principles of Elasticity IV (Castigliano Theorem) |
| 第 8 週 | Governing Equations of Simple Beams (Statics) |
| 第 9 週 | Governing Equations of Timoshenko Beams (Statics) |
| 第 10 週 | Mid-term Exam Governing Equations of Plates I (Statics) |
| 第 11 週 | Governing Equations of Plates II (Statics) |
| 第 12 週 | Governing Equations of Beams (Dynamics) |
| 第 13 週 | Governing Equations of Plates (Dynamics) |
| 第 14 週 | Approximate Methods (Ritz) |
| 第 15 週 | Approximate Methods (Rayleigh-Ritz) |
| 第 16 週 | Approximate Methods (Finite Element) I |
| 第 17 週 | Approximate Methods (Finite Element) II |
| 第 18 週 | Final Exam |
教科書
Solid Mechanics: A Variational Approach, C. L. Dym and I. H. Shames, McGraw-Hill Inc., 1973.
Office Hours
- 地點
- EE420
- 聯絡方式
- Ex. 55124