Introduction to Lagrangian & Hamiltonian Mechanics.pdf
(
6790 KB
)
Pobierz
Jacob Linder & Iver H. Brevik
Introduction to Lagrangian &
Hamiltonian Mechanics
2
Download free eBooks at bookboon.com
Introduction to Lagrangian & Hamiltonian Mechanics
1
st
edition
© 2016 Jacob Linder, Iver H. Brevik &
bookboon.com
ISBN 978-87-403-1249-2
Peer reviewed by Prof. Johan Høye at NTNU, Norway
3
Download free eBooks at bookboon.com
Introduction to Lagrangian &
Hamiltonian Mechanics
Contents
Contents
Preface
About the authors
I.
A.
B.
C.
D.
E.
F.
G.
II.
A.
B.
C.
Fundamental principles
Notation and brief repetition
Many-particle systems
Constraints and generalized coordinates
D’Alembert’s principle and Lagrange’s equations
Levi-Civita symbol
Friction and other velocity-dependent potentials
Examples
Lagrange’s equations and the variational principle
Hamilton’s principle
Derivation of Lagrange’s equations from Hamilton’s principle
Variational calculus
www.sylvania.com
8
9
10
10
11
13
14
17
18
21
24
24
24
26
We do not reinvent
the wheel we reinvent
light.
Fascinating lighting offers an infinite spectrum of
possibilities: Innovative technologies and new
markets provide both opportunities and challenges.
An environment in which your expertise is in high
demand. Enjoy the supportive working atmosphere
within our global group and benefit from international
career paths. Implement sustainable ideas in close
cooperation with other specialists and contribute to
influencing our future. Come and join us in reinventing
light every day.
Light is OSRAM
4
Download free eBooks at bookboon.com
Click on the ad to read more
Introduction to Lagrangian &
Hamiltonian Mechanics
Contents
D.
E.
III.
A.
B.
IV.
A.
B.
C.
D.
E.
F.
V.
A.
B.
C.
D.
Hamilton’s principle for non-holonomic systems
Conservation laws and symmetries
Hamilton’s equations
Legendre transformations
Going from Lagrangian to Hamiltonian formalism
The two-body problem: central forces
Reduction to equivalent one-body problem
Equations of motion
Equivalent one-dimensional problem
The virial theorem
The Kepler problem
Scattering cross section
27
30
35
35
37
39
39
40
41
43
44
46
52
52
54
56
58
Kinematics and equations of motion for rigid bodies
Orthogonal transformations and independent coordinates
Transformation matrix and its mathematical properties
Formal properties of the transformation matrix
Euler angles
360°
thinking
.
360°
thinking
.
360°
thinking
.
Discover the truth at www.deloitte.ca/careers
Dis
© Deloitte & Touche LLP and affiliated entities.
Discover the truth at www.deloitte.ca/careers
© Deloitte & Touche LLP and affiliated entities.
Deloitte & Touche LLP and affiliated entities.
Discover the truth at www.deloitte.ca/careers
the ad to read more
5
Click on
Download free eBooks at bookboon.com
© Deloitte & Touche LLP and affiliated entities.
Plik z chomika:
margeena
Inne pliki z tego folderu:
Electricity and Magnetism.pdf
(13351 KB)
Modern Introductory Mechanics Part II.pdf
(14122 KB)
Mechanics and Oscillations - University Physics I.pdf
(13341 KB)
Elementary Physics I.pdf
(8938 KB)
Elementary Physics II.pdf
(9009 KB)
Inne foldery tego chomika:
Accounting & Finance
Antiques
Anything to do with Cars
Career Development
Classics
Zgłoś jeśli
naruszono regulamin