해석동역학 특론

( Advanced Analytical Dynamics)

1. Tabarrok B. and Rimrott, F.P.J., Kluwer Academic Publications, 1993.

-Variational Methods and Complementary Formulation in Dynamics,

2. Simites G. J., Prentice-Hall, 1976.

-An Introduction to the Elastic Stability of Structures

3. Hildebrand, F. B., Prentice-Hall, 1965.

-Method of Applied Mathematics

4. Engineering Vibration, Prentice-Hall

중간고사 : 50 %

기말고사 : 50 %

Report  : 20 %

출 석  : 10 %

- 강의 계획 -

Chapter 1 Fundamentals

1-1. Review of Basic Concepts

1-2. Generalized Displacement Variables

1-3. Degrees of Freedom and Constraint

1-4. Virtual Displacement and Virtual Work

1-5. Work Function and Potential Energy

1-6. Stability

a. Fundamentals

b. Mechanical Stability Models

c. Elastic Buckling of Columns

d. Nonconservative Systems and Dynamic Buckling

1-7. A Second Look at the Expression for Increment of Work

1-8. Energies and Complementary Energies

1-9. Kinetic Energies and Complementary Kinetic Energies

in Terms of Generalized Displacements

Chapter 2  Differential Variational Formulations

2-1. D'Alembert's Principle

2-2. Complementary Form of D'Alembert's Principle

2-3. Conservation of Energy

2-4. Lagrange's Equations

2-6. Complementary Form of Lagrange's Equations

2-7. Dissipation Forces

Chapter 3 Calculus of Variations

- Hildebrand,F.B. - Chapter 2

Chapter 4 Integral Variational Formulations

4-1. Hamilton's Principle

4-2. Complementary Form of Hamilton's Principle

4-3. Lagange's Equations From Hamilton's Principle

4-4. Constraint Equations and Lagrange Multipliers

4-5. Ignorable Coordinates

4-6. Elimination of Ignoable Coordinates

4-7. Phase Space and Ignoable Coordinates

Chapter 5 Vibration of Continuous System

- Small Oscillation -

5-1. Equations of Motion

5-2. Orthogonality and Normaity Condition

5-3. Normal Coordinates

5-4. Forced Oscillations

5-5. Non-conservative System