博士班資格考考試範圍
固力組(甲組)
Robust Design(穩健化設計)
1. Loss Function
2. Orthogonal Array Selection and Utilization
3. Conducting Tests
4. Analysis and Interpretation Methods for Experiments
5. Analysis of Variance (ANOVA)
6. Confirmation Experiment
7. Parameter Design
8. Signal-to-Noise Ratios
9. Dynamic Characteristics
10. Tolerance Design
References:
1. Ross, Phillip J, “Taguchi Techniques for Quality Engineering”, 2 nd Edition,
McGraw-Hill, 1996.
Advanced Engineering Mathematics(高等工程數學)
(出7題，任選5題)
1. Ordinary Differential Equations
2. Vectors and Matrices
3. Vector Calculus
4. Fourier Series and Expansions
5. Fourier Integral and Fourier Transforms
6. Partial Differential Equations
7. Complex Analysis
References:
1. O’neil, Peter V., “Advanced Engineering Mathematics”, Thomson.
Design Optimization(最佳化設計)
1. Introduction to Engineering Optimization
a. Problem formulation
b. Optimality condition – Kuhn-Tucker necessary conditions
c. Graphics solution
2. Unconstrained Optimization Methods
a. One-dimensional search – Golden section method, Polynomial interpolation
method – basic concept and problem solving
b. Multi-dimensional search _ Steepest descent method, Conjugate direction
method, Quasi-Newton method, Newton method – basic concept,
strength/drawback, flowchart
3. Linear Programming _ Basic LP problem formulation and solving
4. Constrained Optimization Methods
a. Sequential unconstrained minimization method (SUMT) – basic
concept, strength/drawback
b. Sequential linear programming method (SLP) – basic concept,
problem formulation
c. Feasible direction method – bacis concept, feasible/usable direction
definition.
5. Genetic Algorithms – Flowchart, strength/drawbacks, coding techniques
6. Multiobjective Optimization – Objective function definition, Pareto solutions, Min-max problem formulation
7. Optimization Problems with Non-Continuous Design Variables – Inherited difficulties, Solving procedure, Branch and bound approach.
References:
1. Arora, J.S., “Introduction to Optimum Design”, 2 nd Edition, 2004.
Elasticity(彈性力學)
1. Stress
2. Deformation and Strain
3. Elasticity and Yield Criteria
4. Torsion of Prismatic Members
5. The Cantilever Beam under Transverse Load
6. Airy stress functions used in Two-Dimensional Problems
References:
1. Reismann, Herbert and Pawlik, Peter S., “Elasticity: Theory and Applications”.
Mechanical and Structural Vibrations(機械結構振動學)
1. Vibration of Single Degree of Freedom Systems
a. Free vibration of Single Degree of Freedom Systems
b. Responses of Systems under Harmonic Excitations
c. Responses of Systems under Arbitrary Excitations
d. Vibration Control
2. Principles of Newtonian and Analytical Dynamics
a. Newton’s Second Law of Motion
b. The Generalized Principle of d’Alembert
c. Hamilton’s Principle
d. Lagrange’s Equations of Motion
3. Vibration of Multidegree of Freedom Systems
a. Equations of Motion
b. Equilibrium Points
c. Linearization about Equilibrium Points
d. Eigenvalue Problems
1.Natural Conservative Systems,
2.Gyroscopic Conservative Systems,
3.Nonconservative Systems
e. Free Vibration of Multidegree of Freedom Systems
f. Responses of Systems under Harmonic Excitations
g. Responses of Systems under Arbitrary Excitations
References:
1. Meirovitch, L., “Principles and Techniques of Vibrations”, Prentice Hall, Upper
Saddle River, NJ, 1997.
2. Rao, S. S., “Mechanical Vibrations”, 4 th ed., Addison-Wesley, 2000.
3. Meirovitch, L., “Methods of Analytical Dynamics”, McGraw-Hill, New York,
1970.
複合材料
1. Introduction to Composite Materials
2. Lamina Stress-Strain Relationships
3. Analysis of Laminates
4. Strength of Continuous Fiber-Reinforced Lamina
5. Mechanical Testing of Composites and Their Constituents
6. Manufacturing of Glass Fiber-Reinforced Plastics Composites & Metal Matrix Composites
機器人學
1. Rotation matrix and homogeneous transformation matrix
2. Direct kinematics and inverse kinematics of 6-DOF manipulators
3. Instantaneous kinematics and statics
4. Jacobian matrix, screw transformation matrix and reciprocal screws