ME 6710: Dynamics
Class Details:
- Syllabus:ME 6710 Syllabus – Dynamics of Machinery
- Programming assignments:
- Matlab access for TTU students: MathWorks Total Student Headcount TSH Instructions
Informal dynamics review
Lecture Recordings
Youtube playlist for course lectures
- Lecture 6_8_17 part 1
- Lecture 6_8_17 part 2
- Lecture 6_13_17 part1
- Lecture 6_13_17 part 2
- lecture 6_15_17 part 1
- lecture 6_15_17 part 2
- Lecture 6_20_17 part 1
- Lecture 6_20_17 part 2
- Lecture 6_27_17 part 1
- Lecture 6_27_17 part 2
- lecture 7_6_17 part 1
- Lecture 7_6_17 part 1
- Lecture 7-11-17 part 1 VW and Dalembert
- Lecture 7-11-17 part 2 Lagrange for particles
- lecture 7-13-17 part 1 review newt/Euler
- Lecture 7-13-17 part 2 moment free dynamics
- lecture 7-18-17 part 1 Lagrange and conservative forces
- Lecture 7-18-17 part 2 Lagrange early examples
- Lecture 7_20_17 Lagrange, examples, RB formulation
- Lecture 7-25-17 Lagrange RB examples
- Lecture 7-25-17 Lagrange multipliers overview
- Lecture 7-27-17 Lagrange Multipliers with examplesLecture 7-27-17 Lagrange multipliers with examples
- Lecture 7-27-17 Matlab implementation of flying brick
- Lecture 803017 flying brick in Matlab
- Exam 2 review
Particle Kinematics
- Notes: ME 6710 Dynamics_Particle Kinematics
- Lectures:
Rigid Body Kinematics:
- Notes: Rigid Body Kinematics
- Lectures:
- Introduction to Orientation in 3D
- Simple rotation examples
- Define the Rotation Matrix
- Special properties of Rotation matrix
- Rotation around a single axis
- Combining Rotations
- Rotations about a general axis
- Two views of the rotating world
- Euler angles
- Differentiation and transport theorem
- Skew symmetric matrix
- Infinitesimal rotations
Evaluating Differential EOMs
- Notes: Eval EOM & Newtonian Dynamics
- Lectures:
Newtonian Dynamics
- Notes: ME3610_Part III Gears
- Lectures:
- Examples:
Analytical Dynamics
- Generalized Coordinates
- constraints – holonomic
- Constraints – differential form and non-holonomic
- Virtual Work defined
- Virtual work for a system of particles
- Static equilibrium via virtual work
- D’alembert’s principle
- Lagrange’s equations for particles
Homework
- HW1 practice with solutions
- Homework 1
- HW1 solution
- HW2 practice: chap 2 problems 1, 6, 17
- HW2 practice with solutions
- HW2 chap 2 problems 2, 7, 8, 18
- Chap 2 HW solution
- HW3 Chap 3 practice and hw assignment(Practice Ch3 1, 5, 10, HW Ch 3 4,6 18)
- Ch3 practice with solutions
- Ch. 3 HW solutions 3.4, 3.6, 318
- HW4 Chap 5: Practice – 16, 17, assignment: using Newton/Euler, solve the EOMs for the systems shown in fig P5.19, fig P5.24, and fig 5.26 (problem 5.36)
- Ch. 5 practice solutions 5-16, 17
- Chap 5 HW solutions
- exam1_smr17 (Open this when you start the exam, 2 hour time limit)
- Exam1 solution
- Chap 4 Practice/HW: 4-1, 4-4 (practice), 4-5, 4-7 (HW)
- Ch. 4 Practice (1, 4) & hw (5.7)
- Chap. 4 HW solutions 5, 7
- ME 6710 Programming Assignment
- Chap 5 Lagrange Rigid body – write EOMs using Lagrange for 5-24,5-25 (practice), 5-28, 5-32 (practice)
- Ch 5 Lagrange practice 5-24 5-25
- Final Exam – Do not open until you are ready to start, open book and note materials, 3 hours max