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- Catalog Description
- 545 Mechanical Vibrations. II; 3 cr. General theory of
free, forced, and transient vibrations; vibration
transmission, isolation, and measurement; normal modes
and generalized coordinates; method of matrix equation
formulation and solution. The application of theory and
methods to the analysis, measurement and design of
dynamic systems. P: EMA 202 or 221; EMA 304 or 306/307;
Math 223; or cons inst.
- Course Prerequisite(s)
- Statics, dynamics and mechanics of materials
- Calculus
- Differential equations
- Prerequisite knowledge and/or skills
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This course requires basic knowledge of fundamental calculus and differential equations. The course also requires a mastery of introductory dynamics and mechanics of materials.
- Textbook(s) and/or other required material
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William T. Thomson and Marie D. Dahleh, Theory of Vibration with Applications, 5th edn., Prentice Hall.
- Course objectives
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Course Objectives: It is the instructor's intention to...
provide students with a thorough introduction to mechanical vibrations of single and multiple degree-of-freedom systems including a design experience, and development of writing skills.
Course Outcomes: Students must have the ability to...
use analytical and computational methods to analyze the vibratory response of a structure subjected to a variety of different types of excitation, and to be able to idealize practical problems by mathematical models.
- Topics covered
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Review of mathematical preliminaries and oscillatory motion
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Vibration of one degree-of-freedom systems, including: free vibrations (undamped and viscously damped), forced vibrations (undamped and viscously damped), and frictional damping.
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General excitations, including: impulse excitation, response spectra and direct integration methods.
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Two degree-of-freedom systems, including coverage of the same topics listed for one degree-of-freedom systems.
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General multiple degree-of-freedom systems, including: stiffness, flexibility and mass matrices; natural frequencies and mode shapes (eigenvalues and eigenvectors), modal analysis and introduction to finite element analysis.
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Energy methods, Lagrange's equations
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Introduction to continuous systems and wave propagation
- Class/laboratory schedule
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EMA 545 meets three times per week for conventional 50 minute lectures.
- Contribution of course to meeting the professional component
- This course contributes primarily to the students' knowledge of engineering topics, and does provide design experience.
The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.
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EMA 545 focuses on mechanical vibrations, and there is little coverage of the ABET's supplemental topics (economic, envitonmental, etc. considerations)
- Relationship of course to undergraduate degree program objectives and outcomes
- This course primarily serves students in the department. The information below describes how the course contributes to the undergraduate program objectives.
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EMA 545 is focused to satisfy the EMA educational objectives by providing an education in a fundamental subject (mechanical vibrations) via problem-solving and a design-oriented project and report, crucial to those students intending to make a career in any field where mechanics plays an important role. It also includes a design project and students are required to present their results in a written report.
- Assessment of student progress toward course objectives
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Two midterm exams and one final exam
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Two individual design projects each including a written report.
- Person(s) who prepared this description
