AE 5400

Aerospace Vehicle Dynamics

Class Announcements

·        Classroom Change: We meet at C0141 (not F0115 anymore!!!)

·        Course Syllabus

Course Information

Class Hours:    Wednesday 7:00PM~9:20PM @F115 @C0141

 

Instructor:       Dr. K. Ro (Email: kapseong.ro@wmich.edu) (Tel: 276 – 3412)

Office Hours:   CEAS G224, MW 4:30PM – 5:30 PM or appointment

 

Textbook:           1. Advanced Dynamics, D.T. Greenwood, Cambridge University Press, 2003

                           2. Dynamics: Theory & Applications, T. R. Kane & D.A. Levinson, McGraw-Hill, 1985

 

Grading:          Homework (10 sets)                  20%

                        Two Midterm Exams                50% (25% each)

                        Final (Comprehensive)              30%

 

Course Objectives

§  To develop in-depth understanding of 3 dimensional analytical dynamics for aerospace system

 

Tentative Topics to be covered:

1.      Differentiation of Vectors

2.      Kinematics

3.      Forces & Moment

4.      Dynamics of Particles

5.      Dynamics of a Rigid-Body

6.      Foundations of Analytical Mechanics

7.      Formulation of Equations of Motion

 

Pre-requisites & Computer Skills:       ME2580, ME3650 & CS1022 (or equivalent)

 

Academic Integrity Issue:

 

“Students are responsible for making themselves aware of and understanding the University policies and procedures that pertain to Academic Honesty. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. The academic policies addressing Student Rights and Responsibilities can be found in the Undergraduate Catalog at http://catalog.wmich.edu/content.php?catoid=24&navoid=974 and the Graduate Catalog at http://catalog.wmich.edu/content.php?catoid=25&navoid=1030  If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s) and if you believe you are not responsible, you will have the opportunity for a hearing. You should consult with your instructor if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test. In addition, students are encouraged to access the Code of Honor, as well as resources and general academic policies on such issues as diversity, religious observance, and student disabilities:

·        Office of Student Conduct www.wmich.edu/conduct

·        Division of Student Affairs www.wmich.edu/students/diversity

·        Registrar’s Office www.wmich.edu/registrar and www.wmich.edu/registrar/policies/interfaith

·        Disability Services for Students www.wmich.edu/disabilityservices.”


 

Tentative Schedule

 

Week

Lecture Topics

Readings

Homework

WK

01

1/13

Lecture 1. Differentiation of Vectors

·  Vectors, Reference Frame & Coordinate System

·  Direction Cosines & Direction Cosine Table

·  Derivative of a Vector Function

·  Differentiation of Sums & Products

Kane & Levinson (1.1 ~ 1.8)

HW#1

WK

02

1/20

Lecture 2. Kinematics

·  Angular Velocity & Angular Acceleration

·  Differentiation in Two Reference Frames

·  Linear Velocity & Linear Acceleration

·  Two Points Fixed on a Rigid Body

·  One Point Moving on a Rigid Body

Kane & Levinson (2.1 ~ 2.8)

HW#1 Due

HW#2

WK

03

1/27

Lecture 3. Force & Moment (revised 2/5/2016)

·  Types of a Vector

·  Moment about a Point, Bound Vectors & Resultant

·  Couples & Torque

·  Equivalence & Replacement

Kane & Levinson (4.1 ~ 4.3)

HW#2 Due

HW #3

WK

04

2/3

Lecture 4. Particle Dynamics (I)

·  Linear & Angular Momentum

·  Conservation of Momentum

·  Example: Spring-Mass-Damper & A Simple Pendulum

·  Center of Mass of a System of Particles

·  Central Angular Momentum

Greenwood

(1.1~ 1.2)

&

Notes

HW#3 Due

HW#4

WK

05

2/10

Midterm Exam I

(Lecture 1 ~ Lecture 3)

 

HW#4

Due

WK

06

2/17

Lecture 5. Particle Dynamics (II)

·  Angular Momentum about an Arbitrary Moving Point

·  Newton-Euler Dynamic Equations for a System of Particles

·  Example: Inverted Pendulum on a Cart

·  Work & Energy for Particle Dynamics

·  Example: Two Body Problem & Orbit Equations

Greenwood

(1.1~ 1.2)

&

Notes

HW#5

WK

07

2/24

Class Cancelled Due to Snow

 

 

WK

08

3/2

Lecture 6. Rigid-body Dynamics (I)

·  Newton-Euler Dynamic Equations for a Rigid-body

·  Inertia Dyadic & Inertia Matrix

·  Parallel Axes Theorems

·  Inertia Vector & Inertia Scalar

Kane & Levinson (3.1 ~ 3.9)

&

Greenwood

(3.1 ~ 3.3)

HW#5 Due

HW#6

SPRING BREAK

WK

09

3/16

Lecture 7. Rigid-body Dynamics (II)

·  Vector, Dyadic, Tensor, Matrix & Coordinate Transformation

·  Principle Moment of Inertia

·  Evaluation of Inertia Matrix for a Composite Rigid-bodies

Kane & Levinson (3.1 ~ 3.9)

&

Greenwood

(3.1 ~ 3.3)

HW#6 Due

HW#7

WK

10

3/23

Lecture 8. Rigid-body Dynamics (III)

·  Rotational Kinematics of a Rigid-body:

§ Euler Theorem & Euler Rotation

§ Successive Rotations & Direction Cosines

§ Euler Kinematic Differential Equations

·  Special Cases of Euler Dynamic Equation

·  EOM Derivation Examples using Newton-Euler Method

Greenwood

(3.1 ~ 3.3)

&

Notes

HW#7 Due

HW#8

WK

11

3/30

Lecture 9. Foundations of Analytical Mechanics (I)

·  Newtonian Mechanics vs. Analytical Mechanics

·  Configuration Space & Configuration Constraints

·  Generalized Coordinates & Degrees of Freedom

·  Types of Constraints: Holonomic vs. Non-holonomic 

·  Generalized Speeds & Motion Constraints

Notes &

Greenwood

(1.3)

&

Kane & Levinson (1.9, 2.9 ~ 2.13)

WK

12

4/5

Midterm Exam II

(Lecture 4 ~ Lecture 8)

 

HW#8 Due

WK

12

4/6

Lecture 10. Foundations of Analytical Mechanics (II)

·  Examples of Motion Constraints

·  Partial Velocities & Partial Angular Velocities

·  Virtual Displacement & Principle of Virtual Work

·  D’Alembert’s Principle & Lagrange-D’Alembert Equation

Kane & Levinson (2.14)

&

Notes

HW#9

WK

13

4/13

Lecture 11. Foundations of Analytical Mechanics (III)

·  Generalized Active Forces & Generalized Inertia Forces

·  Kane’s Equation

·  EOM Formulation using Kane’s Equation: Examples

Kane & Levinson (2.15, 4.4 ~ 4.11)

&

Notes

HW#9 Due

HW#10

WK

14

4/20

Lecture 12. Foundations of Analytical Mechanics (IV)

·  Choice of Generalized Speeds

·  Non-holonomic System & Kane’s Equation

·  Lagrange’s Equation

·  EOM Formulation using Lagrange’s Equation: Examples

Kane & Levinson (2.15)

&

Notes

HW#10 Due

WK

15

4/27

Final Exam (Comprehensive)

Wednesday 7:00PM ~ 9:30PM

 

Note:

1.     Schedule is subject to change.

2.     No late assignment will be accepted.

3.     No make-up test will be given.

4.     Any consequences caused by not attending classes are all students’ responsibility.