Syllabus-MAE315-F18 - Lecture notes 1 PDF

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MAE 315-002 DYNAMICS OF MACHINES Syllabus, Fall 2018 North Carolina State University Department of Mechanical and Aerospace Engineering Instructor: Dr. Jon Ryu (EBIII 3413, 919-515-5235), [email protected] Lecture Schedule: Tue and Thu 4:30 – 5:45 pm Office Hours: Tue and Thu 3:00 – 4:30 pm Teaching Assistant: Mr. Md Didarul Islam (MAE TA suite - 3147), [email protected] TA Office Hours: Wed 1:15 pm – 4:15 pm Moodle homepage: https://moodle-courses1819.wolfware.ncsu.edu/course/view.php?id=3248 Text: Mechanical Vibrations, 6th Ed., Singiresu S. Rao, 2017 and Supplementary materials Prerequisites: Grade “C” or better in MAE 208 or CE 215, MA 341 Course Outcomes: • Ability to apply knowledge of mathematics, science, and engineering: o The subject of vibration applies the knowledge of mathematics (differential equations, matrix algebra, vector methods, and complex numbers) and science (statics and dynamics) to solve engineering vibration problems. • Ability to identify, formulate, and solve engineering problems: o The numerous illustrative examples, problems for practice, and design projects help identify various types of practical vibration problems and develop mathematical models, analyze, solve to find the response, and interpret the result. • Ability to design and conduct experiment, as well as to analyze and interpret data on the vibration problems. Policies: Academic integrity. Students should refer to the University policy on academic integrity found in the Code of Student Conduct (found at http://www.ncsu.edu/policies/student_services/student_discipline/POL11.35.1.php). It is the instructor’s understanding and expectation that the student’s signature on any test or assignment means that the student contributed to the assignment in question (if a group assignment) and that they neither gave nor received unauthorized aid (if an individual assignment). Authorized aid on an individual assignment includes discussing the interpretation of the problem statement, sharing ideas or approaches for solving the problem, and explaining concepts involved in the problem. Any other aid would be unauthorized and a violation of the academic integrity policy. Any computer work submitted must be completed on your own personal computer or from your own eos account to avoid confusion about the origin of the file, and no sharing of files in any way is allowed. All cases of academic misconduct will be submitted to the Office of Student Conduct. Students found guilty of academic misconduct will be subject to, at a minimum, a zero on the

assignment in question, up to a zero for that course component (e.g. a zero for the homework portion of the final grade), or a failing grade in the course, depending on the nature of the violation. In addition, if you are found guilty of academic misconduct in the course, you will be on academic integrity probation for the remainder of your years at NCSU and may be required to report your violation on future professional school applications. It’s not worth it! •

Homework. Homework will be assigned once a week. Students will submit homework through the Moodle website. Until the Moodle is set up, email directly to TA. Homework solution will be posted online course website.

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Homework format. Use green or yellow engineering paper, one side of each page; begin each problem on a new page; and box all final answers. Each completed assignment should be in one person’s handwriting. The problems should be submitted in the same order as in the homework assignment. Prepare the cover page. Put your name and homework number in the middle of cover page and put the problem numbers below the name. To encourage you to follow the instructions given above, standard point deductions will be assigned for failure to use the appropriate paper, no names, no homework number, missing problem numbers, etc.

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Late homework. Completed assignments should be turned in before the class period. Late assignment will receive a percentage deduction of 30%. However, once an individual or a group hands in two late assignments, no more late assignments will be accepted.

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Exams. There will be two exams during the semester and a comprehensive final exam. A formula sheet will be allowed (Single side in letter size for Exam 1 & 2; Both side in letter size for Final exam; nothing else will be allowed) during the exams. You are strongly recommended to review the lecture notes and read the textbook following the exam study guide provided by instructor.

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Test and homework grading. If you believe that an error was made in grading the homework, you should write a short justification of your claim and attach it to the original homework assignment (or test) in question. Submit the written justification and original work by email to TA. The TA will review your submission and respond to you directly. The “statute of limitation” for submitting such claims is one week after the homework or test is returned.

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Missed tests and exams. If you miss a test or exam without either a justifiable excuse or prior instructor approval, you will take a makeup test at a designated time during the last week of the semester. The makeup exam will be fair but comprehensive (covering all the course material) and challenging. Tests missed with justifiable excuses or prior instructor approval will be dealt with individually. Only one missed test can be made up. Note: if you show up to take a test, you must take the grade – you cannot decide mid-way through to walk out and take the makeup exam. Examples of anticipated situations where a student would qualify for an excused absence are:

a. The student is away from campus for an official university function, e.g., to participate in a professional meeting or as part of a judging team or athletic team. These students would typically be accompanied by a University faculty or staff member. b. Required court attendance as certified by the Clerk of Court. c. Religious observances as verified by Parents & Constituent Services (515-2441). For more information about a variety of religious observances, visit the Diversity Calendar. d. Required military duty as certified by the student’s commanding officer. •

Communication. Email is primary communication tool. Use [MAE315] in the head of email subject. Expect reply from instructor or TA.

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Calculation of course grade. A weighted average grade will be calculated as follows:  Exams (2) = 35% (15% and 20%*)  Final examination = 45%  Homework = 20% Score

≥97

9296.9

Grade

A+

A

8991.9 A- or B+

8288.9 B

7781.9 B- or C+

7276.9 C

6771.9 C- or D+

6266.9

6061.9

< 60

D

D-

F

* The lower grade between the two exams counts 15%, and the other counts 20%. If you fall into one of the “gray areas” (A- or B+, B- or C+, C- or D+), your grade will be determined by whether your performance has improved or remained consistent (higher grade) or gotten worse, especially on the final exam (lower grade). Note: We do not curve grades in this course. It is theoretically possible for everyone in the class to get an A (or an F). Your performance depends only on how you do, not on how everyone else in the class does. It is therefore in your best interest to help your classmates within the limits of the academic integrity policy. •

Students with disabilities. Reasonable accommodations will be made for students with verifiable disabilities. In order to take advantage of available accommodations, students must register with Disability Services for Students at 1900 Student Health Center, Campus Box 7509, 515-7653. http://www.ncsu.edu/provost/offices/affirm_action/dss/ For more information on NC State’s policy on working with students with disabilities, please see the Academic Accommodations for Students with Disabilities Regulation.

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Classroom protocol. Attendance is STRONGLY recommended. Participate group and individual activities for active learning. No food is allowed during the class (This is a late afternoon class. You will make everyone hungry, and disturb the classroom environment.).

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Consulting with faculty. We strongly encourage you to discuss academic or personal questions with either of the course instructors during their office hours or by email.

Course Outline: Topics Introduction

Chapters 1.1 – 1.6

2

Vibration elements Harmonic motion

1.7-1.9 1.10

3

Undamped free vibration

2.1-2.3

4

Rayleigh’s energy method Damped free vibration

2.5 2.6

5

Harmonically forced vibration

3.1-3.6

1

Exam 1 (9/25, Tue) Exam study guide will be posted (9/18) 6

Fourier Series Expansion General periodic force General forcing condition

1.11 4.1-4.5

7

Multi-DOF Vibration Natural freq. and modes forced responses Vibration absorbers

5.1-5.3 5.6

8

Vibration of Continuous Systems Stretched string vibration Longitudinal Transverse beam vibration

8.1-8.5

10

Exam 2 (11/6, Tue) Exam study guide will be posted (10/30)

11

Kinematics and Dynamics of Link mechanisms Force Analysis, Virtual Work Three-bar Crank Slide Linkage Shaking Force and Torque

12

Balance of Machines Static and dynamic balance Engine balance

14

No class on 11/22 (Thu) Final Exam (12/11, 1 – 4 pm)

Supplementary material...