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강의내용 – 2010년 2학기

강의 내용

1. 일반원리 & Review of Vector Differential Calculus

2. 질점의 운동학

3. 질점의 동역학 : 뉴튼의 제 2법칙

4. 질점의 운동역학:에너지 방법과 운동량방법

5. 질점계

6. 강체의 운동학

7. 강체의 평면운동: 힘과 가속도

8. 강체의 평면운동-에너지 방법과 운동량방법

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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교재

교재 : 공학도를위한동역학(Dynamics)

Beer, Johnston, Jr., and Clausen

7th ed. 교보문고

참고도서 : Engineering Mechanics Dynamics

6th ed. Meriam and Kraige

Wiley, 2007

동역학 (Dynamics)

W. F. Riley and L. D. Sturges

2nd ed. 사이텍미디어, 1998

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Introduction

1.1 서 론

역학 : 물체에 작용하는 힘에 대한물체의 거동을 다루는 분야

강체역학 - 정역학, 동역학연속체역학 : 재료역학, 유체역학

* 열역학 : 에너지변환의학문

동역학(Dynamics) - 강체(rigid body)에 작용하는 힘에 대한

강체의 운동을 다루는 분야

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Introduction

힘(force)

속도(velocity)

가속도(acceleration)

질량(mass)

일(work)

에너지(energy)

일률(power)

충격량(impulse)

운동량(momentum)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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동역학의 역사

레오나르도다빈치(1452 - 1519)

아리스토텔레스(B.C. 384 - B.C. 322)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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동역학의 역사

요하네스케플러(1571-1630)

티코브라헤(1546-1601)

케플러 1, 2법칙 (1609년)3법칙 (1619년)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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동역학의 역사

갈릴레오갈릴레이(1564-1642)

자유낙하실, 진자 실험경사진 면에서의 원통 구름 실험

O 문제점- 중력에 대한 이해 부족- 관성에 대한 이해 부족

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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동역학의역사

아이작뉴튼 (1642-1727)

중력, 역학의기본법칙(1665년)

프린키피아 (1687년)

운동의 3법칙만유인력의 법칙

o 샤틀레, 달랑베르, 라그랑즈에 의해 발전

EARTH

APPLE

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

Vector Mechanics for Engineers: Dynamics

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Review of Vector Calculus

O 스칼라(scalar) : 크기(magnitude)

ex) 길이, 온도, 전압, 압력, 질량

O 벡터(Vector) : 크기와방향(magnitude & direction)

ex) 변위, 속도, 가속도, 힘

cf) 응력(stress), 변형률(strain) (?)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

x

y x = 100 MPa

응력(stress)

x

y

xy

= 100 MPa

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

O 위치벡터 (position vector)

x

y

z

r

A(x,y,z)

r=[x,y,z]

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Review of Vector Calculus

xy

z

P

Q

d

O 벡터의성분 (Component of Vector)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

i j k

a1 a

2 a

3

b1 b

2 b

3

i j k

a1 a

2 a

3

b1 b

2 b

3

(+)

(+)

(+)

행렬식 (determinant)

i j k

a1 a

2 a

3

b1 b

2 b

3

(-)

(-)

(-)

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

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Review of Vector Calculus

© 2004 The McGraw-Hill Companies, Inc. All rights reserved.

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Review of Vector Calculus

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Review of Vector Calculus

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Review of Vector Calculus