理论力学(国际班）_大连理工大学

SPOC学校专有课程

理论力学(国际班）

开课时间： 2025年02月24日 ~ 2025年07月31日

学时安排： 4

进行至第21周，共23周已有 16 人参加

立即参加

spContent=Engineering mechanics is divided into two areas: statics and dynamics. Statics deals with the equilibrium of bodies, that is, those that are either at rest or move with a constant velocity; whereas dynamics is concerned with the accelerated motion of bodies. Engineering mechanics is essential for the design and analysis of many types of structural members, mechanical components, or electrical devices encountered in engineering.

Engineering mechanics is divided into two areas: statics and dynamics. Statics deals with the equilibrium of bodies, that is, those that are either at rest or move with a constant velocity; whereas dynamics is concerned with the accelerated motion of bodies. Engineering mechanics is essential for the design and analysis of many types of structural members, mechanical components, or electrical devices encountered in engineering.

—— 课程团队

课程概述

Engineering Mechanics is a theoretical fundamental course for engineering specialties. This course is to provide a clear and thorough presentation of the theory and application of engineering mechanics. It has the following features:

1) Present the concepts, principles and the illustrative examples in a logical and orderly manner. Often the typical example problems include several solutions or give the clues of several solutions. The relationship between various principles is thoroughly analyzed and how to choose the best principle for solving a given problem is discussed.

2) Continuously emphasize the importance of communicating solutions through diagrams, including free-body diagram, kinematic diagram, kinetic diagram and the impulse and momentum diagram.

It is hoped that the course can help build students’ strong conceptual understanding of the basic principles and develop the ability to apply these principles for successfully solving mechanics problems.

授课目标

1. Let students have the knowledge of creating idealized models, drawing free-body diagrams, applying equations of equilibrium or equations of motion for a particle, a system of particles, a rigid body and a system of rigid bodies. Understand the basic principles of analysis and designs of structural members.

2. Master the fundamental concepts and calculations which will be widely used in the further study of other courses of mechanics and professional courses.

3. Improve the students’ professional abilities through the training of problem-solving.

4. Promote the students’ capacity of all aspects, including creativity, communication ability, cooperating spirits, leadership, etc.

课程大纲

Week 1 Lesson 1

Chapter 1 Introduction

2.1 Scalars and vectors and Vector operations

2.2 Cartesian vectors

2.3 Position vectors and Force vector directed along a line

2.4 Dot product

Assignment for Lesson 1

Week 1 Lesson 2

Chapter 3 Equilibrium problems of a particle

Review of Chapter 1-3

4.1 Moment of a force-scalar formulation

4.2 Cross product

Assignment for Lesson 2

Test of Chapter 1-3.

Week 2 Lesson 3

4.3 Moment of a force-vector formulation

4.4 Moment of a force about a specified axis

Assignment for Lesson 3

Week 2 Lesson 4

4.5 Moment of a couple

4.6 Simplification of a system of Forces and Couples

Feedback for written assignment-1 and 2

Assignment for Lesson 4

Week 3 Lesson 5

4.7 Reduction of a Simple Distributed Loading

4.8 Center of Gravity and Centroid

Feedback for written assignment-1, 2 and 3

Assignment for Lesson 5

Week 3 Lesson 6

Review of Chapter 4

5.1 Conditions for rigid-body equilibrium

5.2 Support Reactions in 2-D

5.3 Free-body diagrams

5.4 Two force members

Assignment for lesson 6

Test of Chapter 4.

Week 4 Lesson 7

5.5 Equilibrium problems in 2-D

5.6 Support reactions in 3-D

Feedback for written assignment-4 and 5

Assignment for lesson 7

Week 4 Lesson 8

5.7 Equilibrium problems in 3-D

5.8 Constrains and statical determinacy

Assignment for lesson 8

Week 5 Lesson 9

5.9 Simple trusses

Feedback for written assignment-6 and 7

Assignment for lesson 9

Week 5 Lesson 10

5.10 Frames and machines

Review of Chapter 5

Test for Chapter 5

Assignment for lesson 10

Week 6 Lesson 11

6.1 Characteristics of dry friction

6.2 Problems involving dry friction

6.3 Rolling resistance

Feedback for written assignment-8 and 9

Assignment for lesson 11

Week 6 Lesson 12

Review of Chapter 6

7.1 General continuous motion of a particle

7.2 Curvilinear motion: rectangular components

7.3 Curvilinear motion: normal and tangential components

Assignment for lesson 12

Test for Chapter 6

Week 7 Lesson 13

7.4 Absolute dependent motion analysis of particles

7.5 Relative motion of two particles using translating axes

Typical example in Lesson 13

Typical Problem in Test of Chapter 5

Feedback for written assignment-10

Assignment for lesson 13

Week 7 Lesson 14

Review of Chapter 7

8.1 Planar rigid-body motion

8.2 Translation

8.3 Rotation about a fixed axis

Part of courseware

Assignment for lesson 14

Test for Chapter 7

Week 8 Lesson 15

8.4 Absolute Dependent Motion Analysis of Bodies

8.5 General plane motion：relative-motion analysis of velocity

Feedback for written assignment-11, 12 and 13

Part of courseware

Typical Problem in Test of Chapter 6

Assignment for lesson 15

Week 8 Lesson 16

8.6 Instantaneous Center of Zero Velocity

8.7 General plane motion：relative-motion analysis of acceleration (1)

Typical example in Lesson 16

Assignment for Lesson 16

Week 9 Lesson 17

Review of Chapter 8

Typical example in lesson 17

Typical Problem in Test of Chapter 7

Feedback for written assignment-14 and 15

Test of Chapter 8

Assignment for lesson 17

Week 9 Lesson 18

9.1 Newton’s second law of motion

9.2 Equation of motion for a particle

Typical example in lesson 18

Assignment for lesson 18

Week 10 Lesson 19

9.3 Equation of motion for a system of particles

9.4 Mass moment of inertia

Typical example in lesson 19

Assignment for Lesson 19

Week 10 Lesson 20

9.5.1 Planar kinetic equations of motion

9.5.2 Equations of motion: translation

9.5.3 Equations of motion: rotation about a fixed axis

Part of courseware

Feedback for written assignment-16 and 17

Assignment for Lesson 20

Week 11 Lesson 21

9.5.4 Equations of motion: general plane motion

Part of courseware

Feedback for written assignment-18 and 19

Assignment for Lesson 21

Week 11 Lesson 22

Review of Chapter 9

10.1 Work and power

Part of courseware

Typical Problem in Test of Chapter 8

Assignment for Lesson 22

Test of Chapter 9

Week 12 Lesson 23

10.2 Kinetic energy

10.3.1 Principle of work and energy for a particle

10.3.2 Principle of work and energy for a system of particles

10.3.3 Principle of work and energy for rigid bodies in plane motion

Typical example in lesson 23

Feedback for written assignment-20 and 21

Assignment for Lesson 23

Week 12 Lesson 24

10.4 Conservative forces and conservation of energy

Review of Chapter 10

Part of courseware

Feedback for written assignment-22 and 23

Feedback for written assignment-24

Assignment for Lesson 24

Test of Chapter 10

展开全部

预备知识

Advanced Mathematic

College Physics

参考资料

[1] Ping YI, Jun LIU, Feng JIANG, 2022. Engineering Mechanics, France: EDP Sciences.

[2] Hibbeler R C，2004．Engineering Mechanics：Statics．Beijing：Higher Education Press．

[3] Hibbeler R C，2004．Engineering Mechanics：Dynamics．Beijing：Higher Education Press．

[4] Yi P, Zhao Y. Solutions Manual of Theoretical Mechanics, Science Press, 2017.

[5] Yi P, Engineering Mechanics, Science Press, 2018. (in Chinese)

1 位授课老师

易平

教授

易平

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