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© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
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1 - 49
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
Se
ve
nth
Ed
ition
2 - 49
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.
Vector Mechanics for Engineers: Dynamics
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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.
Vector Mechanics for Engineers: Dynamics
Se
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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.
Vector Mechanics for Engineers: Dynamics
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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.
Vector Mechanics for Engineers: Dynamics
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7 - 49
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.
Vector Mechanics for Engineers: Dynamics
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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.
Vector Mechanics for Engineers: Dynamics
Se
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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.
Vector Mechanics for Engineers: Dynamics
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Review of Vector Calculus
O 위치벡터 (position vector)
x
y
z
r
A(x,y,z)
r=[x,y,z]
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
12 - 49
Review of Vector Calculus
xy
z
P
Q
d
O 벡터의성분 (Component of Vector)
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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17 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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ition
20 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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ition
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Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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ition
22 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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ition
23 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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ition
24 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
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Ed
ition
25 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
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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.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
27 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
28 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
29 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
30 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
ve
nth
Ed
ition
31 - 49
Review of Vector Calculus
© 2004 The McGraw-Hill Companies, Inc. All rights reserved.
Vector Mechanics for Engineers: Dynamics
Se
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ition
32 - 49
Review of Vector Calculus