Mechanical Vibrations

Harmonic motion; natural frequencies and vibration of damped and undamped single and multi-degree of freedom systems; general theory of free, forced, and transient vibrations modal analysis; lumped-mass modeling; balancing; vibration absorbers and tuned mass dampers; method of matrix equation formulation and solution; finite element modeling.

offering recorded3 credits
Recorded instructors · Spring 2027 Thomas Breunung

Summary

1 / 3

Recent recorded grades — Fall 2023: 3.52 GPA, 70.8% A/AB (n=24 letter grades); Spring 2025: 3.17 GPA, 55.6% A/AB (n=9 letter grades); Spring 2026: 3.11 GPA, 50.0% A/AB (n=18 letter grades).

What you’ll be able to do

  • Derive the equations of motions of single and multi-degree of freedoms systems.

  • Determine the natural frequencies and mode shapes of single and multi-degree of freedom systems.

  • Evaluate the dynamic response of single and multi-degree of freedom system under impulsive, harmonic and periodic loading.

  • Apply modal analysis and orthogonality conditions to establish the dynamic characteristics of multi-degree of freedom systems.

  • Generate finite element models of discrete systems to simulate the dynamic response to initial conditions and external excitations.

  • Use advanced computational tools to compute and visualize dynamic responses of single- and multi-degree-of-freedom systems.

Source: UW Guide 1 UW Guide 2

Grade history

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average GPA
letter grades
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AB
B
BC
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D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

(E M A 202,M E 340,PHYSICS 311, or M E 240) and (E M A 303 or M E 306), graduate/professional standing, or member of Engineering Guest Students. Not open to students with credit for E M A 545.

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      • credit for E M A 545
      not eligible with
    take all
EMA/ME 440 used by

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

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      • credit for E M A 545

Professors

Spring 2027

Recent recorded grades — Spring 2025: 3.17 GPA, 55.6% A/AB (n=9 letter grades); Spring 2026: 3.11 GPA, 50.0% A/AB (n=18 letter grades). Includes jointly taught sections.

Historical instructors & teaching patterns

THOMAS BREUNUNG is recorded teaching in Spring 2025, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 660
LEC 001Classroom Instruction0 / 660

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records

Student experience

the class

Recent recorded grades — Fall 2023: 3.52 GPA, 70.8% A/AB (n=24 letter grades); Spring 2025: 3.17 GPA, 55.6% A/AB (n=9 letter grades); Spring 2026: 3.11 GPA, 50.0% A/AB (n=18 letter grades).

difficulty & workload

No workload feedback recorded.

Grades

Latest available · Spring 2026— not enough history to project Spring 2027.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

A
AB
B
BC
C
D
F

Grades over time

Through Spring 2026

More grade details Grade mix, volume & source data

Not enough comparable courses for Spring 2027 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

Observations at scan time; dates do not imply when a catalog change took effect.

Selected offering source records
EMA/ME 440 · Spring 2027

Mechanical Vibrations

Recorded 2026-10-14
EMA/ME 440 · Spring 2027

Mechanical Vibrations

Recorded 2026-10-14
Raw records
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    "title": "Mechanical Vibrations",
    "credits_min": 3,
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    "typically_offered": "Occasionally"
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    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
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    "offering_id": "1274:612:012032",
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    "credits_min": 3,
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Grade history

Recorded grade distributions by term, section, and instructor.

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Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
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  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "9b3679097771c313fad1a663f2e5a99e529ad676149359ccd7ba13e83c0b0581",
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}