# EMA 745: Advanced Methods in Structural Dynamics | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/EMA_745)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

### importer version

7

### projection id

52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07

### observed at

2026-09-07T15:55:43.033547+00:00

### built at

2026-09-10T19:50:42.743001+00:00

### courses

8951

### current instructors

5754

### limited

false

### terms

* 1272
* 1264
* 1262
* 1254
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* 1242
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* 1232
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### term

1272

### departments

| subject   | count |
| --------- | ----- |
| AAE       | 90    |
| ABT       | 20    |
| ACCTIS    | 36    |
| ACTSCI    | 14    |
| AFAERO    | 10    |
| AFRICAN   | 87    |
| AFROAMER  | 71    |
| AGROECOL  | 21    |
| AMERIND   | 53    |
| ANAT\&PHY | 7     |
| ANATOMY   | 2     |
| ANESTHES  | 8     |
| ANSCI     | 57    |
| ANTHRO    | 95    |
| ART       | 125   |
| ARTED     | 10    |
| ARTHIST   | 121   |
| ASIALANG  | 129   |
| ASIAN     | 109   |
| ASIANAM   | 28    |
| ASTRON    | 38    |
| ATMOCN    | 69    |
| BIOCHEM   | 51    |
| BIOCORE   | 10    |
| BIOLOGY   | 14    |
| BIOMDSCI  | 18    |
| BME       | 66    |
| BMI       | 41    |
| BMOLCHEM  | 10    |
| BOTANY    | 69    |
| BSE       | 44    |
| C\&ESOC   | 73    |
| CBE       | 48    |
| CHEM      | 101   |
| CHICLA    | 52    |
| CIVENGR   | 133   |
| CLASSICS  | 47    |
| CNP       | 10    |
| CNSRSCI   | 50    |
| COMARTS   | 137   |
| COMPBIO   | 15    |
| COMPLIT   | 11    |
| COMPSCI   | 138   |
| COUNPSY   | 78    |
| CRB       | 19    |
| CS\&D     | 71    |
| CSCS      | 40    |
| CURRIC    | 193   |
| DANCE     | 93    |
| DERM      | 8     |
| DS        | 88    |
| DYSCI     | 35    |
| ECE       | 155   |
| ECON      | 145   |
| EDPOL     | 114   |
| EDPSYCH   | 97    |
| ELPA      | 70    |
| EMA       | 53    |
| EMERMED   | 17    |
| ENGL      | 206   |
| ENTOM     | 40    |
| ENVIRST   | 148   |
| EP        | 15    |
| EPD       | 67    |
| ESL       | 16    |
| F\&WECOL  | 60    |
| FAMMED    | 22    |
| FINANCE   | 50    |
| FOLKLORE  | 40    |
| FOODSCI   | 43    |
| FRENCH    | 63    |
| GEN\&WS   | 145   |
| GENBUS    | 72    |
| GENECSLR  | 17    |
| GENETICS  | 60    |
| GEOG      | 113   |
| GEOSCI    | 83    |
| GERMAN    | 82    |
| GLE       | 48    |
| GNS       | 38    |
| GREEK     | 27    |
| HDFS      | 41    |
| HEBR-BIB  | 13    |
| HEBR-MOD  | 10    |
| HISTORY   | 233   |
| HISTSCI   | 56    |
| HONCOL    | 13    |
| ILS       | 43    |
| INFOSYS   | 9     |
| INTEGART  | 7     |
| INTEGSCI  | 22    |
| INTER-AG  | 18    |
| INTER-HE  | 11    |
| INTER-LS  | 22    |
| INTEREGR  | 16    |
| INTLBUS   | 21    |
| INTLST    | 50    |
| ISYE      | 83    |
| ITALIAN   | 53    |
| JEWISH    | 56    |
| JOURN     | 88    |
| KINES     | 128   |
| LACIS     | 26    |
| LANDARC   | 61    |
| LATIN     | 24    |
| LAW       | 120   |
| LEGALST   | 48    |
| LINGUIS   | 35    |
| LIS       | 89    |
| LITTRANS  | 78    |
| LSC       | 52    |
| M\&ENVTOX | 7     |
| MARKETNG  | 62    |
| MATH      | 153   |
| MDGENET   | 8     |
| ME        | 130   |
| MEDHIST   | 43    |
| MEDICINE  | 60    |
| MEDIEVAL  | 32    |
| MEDPHYS   | 39    |
| MEDSC-M   | 29    |
| MEDSC-V   | 41    |
| MHR       | 68    |
| MICROBIO  | 45    |
| MILSCI    | 16    |
| MM\&I     | 22    |
| MOLBIOL   | 6     |
| MS\&E     | 59    |
| MUSIC     | 165   |
| MUSPERF   | 126   |
| NAVSCI    | 20    |
| NE        | 44    |
| NEURODPT  | 11    |
| NEUROL    | 7     |
| NEURSURG  | 4     |
| NTP       | 11    |
| NURSING   | 111   |
| NUTRSCI   | 65    |
| OBS\&GYN  | 18    |
| OCCTHER   | 39    |
| ONCOLOGY  | 14    |
| OPHTHALM  | 5     |
| OTM       | 43    |
| PATH      | 34    |
| PATH-BIO  | 29    |
| PEDIAT    | 26    |
| PHARMACY  | 31    |
| PHILOS    | 77    |
| PHMCOL-M  | 11    |
| PHMPRAC   | 45    |
| PHMSCI    | 60    |
| PHYASST   | 37    |
| PHYSICS   | 88    |
| PHYSIOL   | 3     |
| PHYTHER   | 37    |
| PLANTSCI  | 52    |
| PLPATH    | 35    |
| POLISCI   | 192   |
| POPHLTH   | 58    |
| PORTUG    | 33    |
| PSYCH     | 101   |
| PSYCHIAT  | 22    |
| PUBAFFR   | 54    |
| PUBLHLTH  | 23    |
| RADIOL    | 11    |
| REALEST   | 41    |
| RELIGST   | 90    |
| RHABMED   | 9     |
| RMI       | 24    |
| RP\&SE    | 102   |
| S\&APHM   | 17    |
| SCANDST   | 73    |
| SLAVIC    | 89    |
| SOC       | 149   |
| SOCWORK   | 87    |
| SOILSCI   | 46    |
| SPANISH   | 83    |
| SRMED     | 21    |
| STAT      | 94    |
| STDYABRD  | 52    |
| STS       | 8     |
| SURGERY   | 25    |
| SURGSCI   | 33    |
| THEATRE   | 91    |
| URBRPL    | 60    |
| UROLOGY   | 5     |
| ZOOLOGY   | 89    |

## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

c10adb538b68acc9fdb616d942e21ac4359316f3e074d3b513a55d70d02bd9f1

### course id

EMA 745

### course uid

course\_3f0b2ef926a9e947b89768b8

### catalog version id

58a993a4d7a8d01a170d3603b0de695433abdd4f1b7f482c7094dee0da29a954

### course number

745

### subjects

* EMA

### title

ADVANCED METHODS IN STRUCTURAL DYNAMICS

### description

Emphasis is placed on techniques used to analyze aerospace structures. Variational principles, Hamilton's extended principle, Lagrange's equations, mathematical models for continuous systems, natural modes of vibrations, dynamic response using mode superposition, mode acceleration, residual flexibility, vibration analysis using finite element methods, advanced substructure representations, component mode synthesis, systems with rigid body modes for aeronautical and astronautical systems. Knowledge of vibrations \[such as E M A 545 orM E/​E M A  440] strongly encouraged.

### requirements text

Graduate/professional standing

### credit offering ids

None recorded.

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

66ca7f5e674d3769be87511469be4b81c6a1510af7cfecffed4777abfc29d267

### llm model

nvidia/Qwen3.6-35B-A3B-NVFP4

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

Advanced methods for analyzing aerospace structures using variational principles, finite elements, and modal synthesis techniques.

### llm topics

* Variational principles and Lagrangian mechanics
* Mathematical modeling of continuous systems and natural modes
* Systems with rigid body modes

### llm skills

* Analysis of aerospace structures
* Dynamic response calculation using advanced modal techniques
* Finite element vibration analysis
* Substructure modeling and component mode synthesis

### llm assumed background

* Fundamentals of mechanical vibrations and modal analysis

### llm search phrases

* structural dynamics advanced methods
* finite element vibration analysis
* Hamilton's principle aerospace structures
* mode superposition residual flexibility

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

5a52669668cca5a2592db492f101864cfd559a8bd3020a2a78e0ae173ab73266

#### course id

EMA 745

#### current instructors

None recorded.

#### difficulty workload

None recorded.

#### errors

None recorded.

#### historical context

None recorded.

#### message

No course-specific reviews available

#### offered

false

#### profile hash

5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02

#### quick take

Recent recorded grades — Fall 2014: 3.86 GPA, 92.9% A/AB (n=14 letter grades); Fall 2016: 3.69 GPA, 87.5% A/AB (n=8 letter grades); Spring 2022: 3.83 GPA, 100.0% A/AB (n=3 letter grades).

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#### student experience

None recorded.

#### task hash

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#### teaching history

None recorded.

#### term id

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#### term name

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#### version

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### requirements

#### nodes

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#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

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### grades

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    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 3,
    "source_aliases": [
      "EMA 745"
    ]
  }
]
```

### statistics

#### gpa

3.703

#### graded

69

#### counts

* 39
* 19
* 11
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_3f0b2ef926a9e947b89768b8-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_3f0b2ef926a9e947b89768b8-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_3f0b2ef926a9e947b89768b8-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_3f0b2ef926a9e947b89768b8-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_3f0b2ef926a9e947b89768b8-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_3f0b2ef926a9e947b89768b8-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.7028985507246377

#### count

69

#### university

##### size

3249

##### gpa Percentile

54

##### count Percentile

34

##### median Count

102

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 20    | false   |
| 2.8–3.2 | 332   | false   |
| 3.2–3.6 | 1041  | false   |
| 3.6–4.0 | 1856  | true    |

#### departments

```json
[
  {
    "subject": "EMA",
    "comparison": {
      "size": 19,
      "gpaPercentile": 67,
      "countPercentile": 33,
      "medianCount": 85,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 3,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 7,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 9,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

3.5833333333333335

##### count

6

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1092

##### term

1092

##### gpa

3.7857142857142856

##### count

7

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1112

##### term

1112

##### gpa

3.6363636363636362

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1132

##### term

1132

##### gpa

3.611111111111111

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1152

##### term

1152

##### gpa

3.857142857142857

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1172

##### term

1172

##### gpa

3.6875

##### count

8

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

#### 1224

##### term

1224

##### gpa

3.8333333333333335

##### count

3

##### departments

| subject | comparison |
| ------- | ---------- |
| EMA     |            |

### benchmarks

#### all

##### school

###### size

3249

###### gpa

3.61570923907157

###### top Share

79.00015740917391

###### count

102

##### EMA

###### size

19

###### gpa

3.472673091815109

###### top Share

70.40289626125191

###### count

85

#### terms

##### 1072

###### school

###### size

723

###### gpa

3.344595727439471

###### top Share

62.012941427864526

###### count

67

##### 1092

###### school

###### size

732

###### gpa

3.374660709520374

###### top Share

63.690339324346596

###### count

70

##### 1112

###### school

###### size

805

###### gpa

3.3737773184830386

###### top Share

63.91039244872789

###### count

66

##### 1132

###### school

###### size

851

###### gpa

3.391128778809763

###### top Share

64.69509437122704

###### count

66

##### 1152

###### school

###### size

918

###### gpa

3.408733538594633

###### top Share

66.06693005846735

###### count

65

##### 1172

###### school

###### size

991

###### gpa

3.465129042641772

###### top Share

69.42600667567366

###### count

67

##### 1204

###### school

###### size

1012

###### gpa

3.703747431523761

###### top Share

84.59811226304916

###### count

65.5

##### 1224

###### school

###### size

1171

###### gpa

3.5627882428500937

###### top Share

76.37271640560496

###### count

64

## instructor Trends

```json
[
  {
    "uid": "instructor_ba3ca794dbe1649f79d572f9",
    "name": "DANIEL KAMMER",
    "count": 66,
    "terms": [
      {
        "term": "1072",
        "count": 6,
        "sections": 1,
        "gpa": 3.5833333333333335
      },
      {
        "term": "1092",
        "count": 7,
        "sections": 1,
        "gpa": 3.7857142857142856
      },
      {
        "term": "1112",
        "count": 22,
        "sections": 1,
        "gpa": 3.6363636363636362
      },
      {
        "term": "1132",
        "count": 9,
        "sections": 1,
        "gpa": 3.611111111111111
      },
      {
        "term": "1152",
        "count": 14,
        "sections": 1,
        "gpa": 3.857142857142857
      },
      {
        "term": "1172",
        "count": 8,
        "sections": 1,
        "gpa": 3.6875
      }
    ]
  },
  {
    "uid": "instructor_52defbc4f0629566d3f50f53",
    "name": "MICHAEL SRACIC",
    "count": 3,
    "terms": [
      {
        "term": "1224",
        "count": 3,
        "sections": 1,
        "gpa": 3.8333333333333335
      }
    ]
  }
]
```

## following

None recorded.
