COURSE UNIT TITLE

: ADVANCED DYNAMICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5023 ADVANCED DYNAMICS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR AYŞE SAIDE SARIGÜL

Offered to

Machine Theory and Dynamics
Machine Theory and Dynamics

Course Objective

A major goal of a modern dynamics course is to produce students who are proficient in the use of the best available methodology for formulating equations of motion. In this regard, the course aims to develop the student's ability and insight for the analysis of dynamics problems in matrix notation which is suitable for computer applications. Formulation of equations of motion and extracting the information from these equations are the other objectives of the course.

Learning Outcomes of the Course Unit

1   Defining and solving kinematics of dynamic problems in 3D space.
2   Defining and solving kinetics of dynamic problems in 3D space
3   Formulating the dynamic problems in matrix notation.
4   Forming energy functions of bodies in 3D space.
5   Formulating equations of motion in 3D space.
6   Extracting the dynamic information from equations of motion.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Differentiation of Vectors Vector Functions, Several Reference Frames, Scalar Functions, First Derivatives, Representation of Derivatives, Notation for Derivatives, Differentiation of Sums and Products, Second Derivatives, Total and Partial Derivatives.
2 Kinematics Angular Velocity, Differentiation in Two Reference Frames, Auxiliary Reference Frames, Velocity and Acceleration, Configuration Constraints, Generalized Coordinates, Generalized Speeds, Motion Constraints
3 Mass Distribution Mass Center, Curves, Surfaces and Solids, Inertia Vector, Inertia Scalars, Mutually Perpendicular Unit Vectors, Inertia Matrix, Inertia Dyadic.
4 Mass Distribution Parallel Axes Theorems, Evaluation of Inertia Scalars, Principal Moments of Inertia, Maximum and Minimum Moments of Inertia.
5 Generalized Forces Moment about a Point, Bound Vectors, Resultant, Couples, Torque, Equivalence, Replacement, Generalized Active Forces, Noncontributing Forces, Forces Acting on a Rigid Body.
6 Generalized Forces Contributing Interaction Forces, Terrestrial Gravitational Forces, Bringing Noncontributing Forces, Coulomb Friction Forces, Generalized Inertia Forces.
7 1st Mid-Term Examination
8 Energy Functions Potential Energy, Potential Energy Contributions, Dissipation Functions.
9 Energy Functions Kinetic Energy, Homogenous Kinetic Energy Functions, Kinetic Energy and Generalized Inertia Forces.
10 Formulation and Equations of Motion Dynamical Equations, Secondary Newtonian Reference Frames, Additional Dynamical Equations, Linearization of Dynamical Equations.
11 Formulation and Equations of Motion Systems at Rest in a Newtonian Reference Frame, Steady Motion, Motions Resembling States of Rest.
12 2nd Mid-Term Examination
13 Extraction of Information from Equations of Motion Integrals of Equation of Motion, The Energy Integral, Momentum Integrals, Exact Closed-Form Solutions, Numerical Integration of Differential Equations of Motion.
14 Extraction of Information from Equations of Motion Determination of Constraint Forces and Constraint Torques, Real Solutions of a Set of Nonlinear, Non-differential Equations, Generalized Impulse, Generalized Momentum, Collisions, Motions Governed by Linear Differential Equations.

Recomended or Required Reading

Dynamics: Theory and Applications. Thomas R. Kane and David A. Levinson, Mc Graw-Hill Series in Mechanical Engineering, USA, 1985.

Planned Learning Activities and Teaching Methods

Lecture, homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Lectures include whole of the learning outcomes.
Definition and solution of kinematics and kinetics; and also formation of energy functions of bodies in 3D space are evaluated in mid-term exams. The solutions are required in matrix notation.
Formulation of equations of motion in 3D space is evaluated in final exam.
Homework includes all topics including intensive mathematical computations with or without using computer. Additionally, extraction of the dynamic information from equations of motion is tested by homework.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

saide.sarigul@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparation for midterm exam 2 24 48
Preparation for final exam 1 48 48
Preparations before/after weekly lectures 12 2 24
Preparing assignments 12 3 36
Midterm 2 3 6
Final 1 3 3
TOTAL WORKLOAD (hours) 201

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.155555
LO.255555
LO.355555
LO.455
LO.5
LO.6

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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