Control of a Nonlinear System Using the Saturation Phenomenon View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2005-10

AUTHORS

Mohammad Shoeybi, Mehrdaad Ghorashi

ABSTRACT

In this paper, a theoretical investigation of nonlinear vibrations of a 2 degrees of freedom system when subjected to saturation is studied. The method has been especially applied to a system that consists of a DC motor with a nonlinear controller and a harmonic forcing voltage. Approximate solutions are sought using the method of multiple scales. It is shown that the closed-loop system exhibits different response regimes. The nature and stability of these regimes are studied and the stability boundaries are obtained. The effects of the initial conditions on the response of the system have also been investigated. Furthermore, the second-order solution is presented and the corresponding results are compared with those of the first-order solution. It is shown that by increasing the amplitude of the excitation voltage, the higher-order term in the solution becomes significant and causes a drift in the response. In order to verify the obtained theoretical results, they are compared with the corresponding numerical results. Good agreement between the two sets of results is observed. More... »

PAGES

113-136

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-005-4123-y

DOI

http://dx.doi.org/10.1007/s11071-005-4123-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012838991


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Numerical and Computational Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Stanford University", 
          "id": "https://www.grid.ac/institutes/grid.168010.e", 
          "name": [
            "Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran", 
            "Flow Physics and Computation Division, Department of Mechanical Engineering, Stanford University, Building 500, Room 500G, 94305, Stanford, CA, U.S.A."
          ], 
          "type": "Organization"
        }, 
        "familyName": "Shoeybi", 
        "givenName": "Mohammad", 
        "id": "sg:person.013416372407.03", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013416372407.03"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Carleton University", 
          "id": "https://www.grid.ac/institutes/grid.34428.39", 
          "name": [
            "Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran", 
            "The Rotorcraft Research Group, Department of Mechanical and Aerospace Engineering, Carleton University, ME3135, 1125 Colonel By Drive, K1S 5B6, Ottawa, Ontario, Canada"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ghorashi", 
        "givenName": "Mehrdaad", 
        "id": "sg:person.01227461164.08", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01227461164.08"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1023/a:1008207124935", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012516901", 
          "https://doi.org/10.1023/a:1008207124935"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2514/3.62949", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020763043"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02169768", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049464389", 
          "https://doi.org/10.1007/bf02169768"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02169768", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049464389", 
          "https://doi.org/10.1007/bf02169768"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3627261", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062134868"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00045672", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1086061886", 
          "https://doi.org/10.1007/bf00045672"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/esda2004-58297", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1092778563"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2005-10", 
    "datePublishedReg": "2005-10-01", 
    "description": "In this paper, a theoretical investigation of nonlinear vibrations of a 2 degrees of freedom system when subjected to saturation is studied. The method has been especially applied to a system that consists of a DC motor with a nonlinear controller and a harmonic forcing voltage. Approximate solutions are sought using the method of multiple scales. It is shown that the closed-loop system exhibits different response regimes. The nature and stability of these regimes are studied and the stability boundaries are obtained. The effects of the initial conditions on the response of the system have also been investigated. Furthermore, the second-order solution is presented and the corresponding results are compared with those of the first-order solution. It is shown that by increasing the amplitude of the excitation voltage, the higher-order term in the solution becomes significant and causes a drift in the response. In order to verify the obtained theoretical results, they are compared with the corresponding numerical results. Good agreement between the two sets of results is observed.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s11071-005-4123-y", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1040905", 
        "issn": [
          "0924-090X", 
          "1573-269X"
        ], 
        "name": "Nonlinear Dynamics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "42"
      }
    ], 
    "name": "Control of a Nonlinear System Using the Saturation Phenomenon", 
    "pagination": "113-136", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "3d29b197c20a6955a5e3aa79ad32de9f7426f243f2dbeb613b2cd01cff7fdb52"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11071-005-4123-y"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1012838991"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11071-005-4123-y", 
      "https://app.dimensions.ai/details/publication/pub.1012838991"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T12:13", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000361_0000000361/records_53998_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs11071-005-4123-y"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11071-005-4123-y'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11071-005-4123-y'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11071-005-4123-y'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11071-005-4123-y'


 

This table displays all metadata directly associated to this object as RDF triples.

94 TRIPLES      21 PREDICATES      33 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11071-005-4123-y schema:about anzsrc-for:01
2 anzsrc-for:0103
3 schema:author N59b7395607e14e93866c324f5f78c01b
4 schema:citation sg:pub.10.1007/bf00045672
5 sg:pub.10.1007/bf02169768
6 sg:pub.10.1023/a:1008207124935
7 https://doi.org/10.1115/1.3627261
8 https://doi.org/10.1115/esda2004-58297
9 https://doi.org/10.2514/3.62949
10 schema:datePublished 2005-10
11 schema:datePublishedReg 2005-10-01
12 schema:description In this paper, a theoretical investigation of nonlinear vibrations of a 2 degrees of freedom system when subjected to saturation is studied. The method has been especially applied to a system that consists of a DC motor with a nonlinear controller and a harmonic forcing voltage. Approximate solutions are sought using the method of multiple scales. It is shown that the closed-loop system exhibits different response regimes. The nature and stability of these regimes are studied and the stability boundaries are obtained. The effects of the initial conditions on the response of the system have also been investigated. Furthermore, the second-order solution is presented and the corresponding results are compared with those of the first-order solution. It is shown that by increasing the amplitude of the excitation voltage, the higher-order term in the solution becomes significant and causes a drift in the response. In order to verify the obtained theoretical results, they are compared with the corresponding numerical results. Good agreement between the two sets of results is observed.
13 schema:genre research_article
14 schema:inLanguage en
15 schema:isAccessibleForFree false
16 schema:isPartOf N33ee5a1e40984a4eb8307d70c520718d
17 N86b5c00da28440dca1596f82b938e5fe
18 sg:journal.1040905
19 schema:name Control of a Nonlinear System Using the Saturation Phenomenon
20 schema:pagination 113-136
21 schema:productId N46ac1314ddd1428d9d58a9f1ec74b739
22 N837a6c5d9c19417c8ededf35ef601a75
23 Na16b05b40e224a7bb73b0e4c8f37c024
24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012838991
25 https://doi.org/10.1007/s11071-005-4123-y
26 schema:sdDatePublished 2019-04-11T12:13
27 schema:sdLicense https://scigraph.springernature.com/explorer/license/
28 schema:sdPublisher N67086582c90644a2bbf2b52d234fd5ea
29 schema:url http://link.springer.com/10.1007%2Fs11071-005-4123-y
30 sgo:license sg:explorer/license/
31 sgo:sdDataset articles
32 rdf:type schema:ScholarlyArticle
33 N33ee5a1e40984a4eb8307d70c520718d schema:issueNumber 2
34 rdf:type schema:PublicationIssue
35 N46ac1314ddd1428d9d58a9f1ec74b739 schema:name doi
36 schema:value 10.1007/s11071-005-4123-y
37 rdf:type schema:PropertyValue
38 N59b7395607e14e93866c324f5f78c01b rdf:first sg:person.013416372407.03
39 rdf:rest N86d1c13b1c264630b1d94247eecee6c4
40 N67086582c90644a2bbf2b52d234fd5ea schema:name Springer Nature - SN SciGraph project
41 rdf:type schema:Organization
42 N837a6c5d9c19417c8ededf35ef601a75 schema:name dimensions_id
43 schema:value pub.1012838991
44 rdf:type schema:PropertyValue
45 N86b5c00da28440dca1596f82b938e5fe schema:volumeNumber 42
46 rdf:type schema:PublicationVolume
47 N86d1c13b1c264630b1d94247eecee6c4 rdf:first sg:person.01227461164.08
48 rdf:rest rdf:nil
49 Na16b05b40e224a7bb73b0e4c8f37c024 schema:name readcube_id
50 schema:value 3d29b197c20a6955a5e3aa79ad32de9f7426f243f2dbeb613b2cd01cff7fdb52
51 rdf:type schema:PropertyValue
52 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
53 schema:name Mathematical Sciences
54 rdf:type schema:DefinedTerm
55 anzsrc-for:0103 schema:inDefinedTermSet anzsrc-for:
56 schema:name Numerical and Computational Mathematics
57 rdf:type schema:DefinedTerm
58 sg:journal.1040905 schema:issn 0924-090X
59 1573-269X
60 schema:name Nonlinear Dynamics
61 rdf:type schema:Periodical
62 sg:person.01227461164.08 schema:affiliation https://www.grid.ac/institutes/grid.34428.39
63 schema:familyName Ghorashi
64 schema:givenName Mehrdaad
65 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01227461164.08
66 rdf:type schema:Person
67 sg:person.013416372407.03 schema:affiliation https://www.grid.ac/institutes/grid.168010.e
68 schema:familyName Shoeybi
69 schema:givenName Mohammad
70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013416372407.03
71 rdf:type schema:Person
72 sg:pub.10.1007/bf00045672 schema:sameAs https://app.dimensions.ai/details/publication/pub.1086061886
73 https://doi.org/10.1007/bf00045672
74 rdf:type schema:CreativeWork
75 sg:pub.10.1007/bf02169768 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049464389
76 https://doi.org/10.1007/bf02169768
77 rdf:type schema:CreativeWork
78 sg:pub.10.1023/a:1008207124935 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012516901
79 https://doi.org/10.1023/a:1008207124935
80 rdf:type schema:CreativeWork
81 https://doi.org/10.1115/1.3627261 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062134868
82 rdf:type schema:CreativeWork
83 https://doi.org/10.1115/esda2004-58297 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092778563
84 rdf:type schema:CreativeWork
85 https://doi.org/10.2514/3.62949 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020763043
86 rdf:type schema:CreativeWork
87 https://www.grid.ac/institutes/grid.168010.e schema:alternateName Stanford University
88 schema:name Flow Physics and Computation Division, Department of Mechanical Engineering, Stanford University, Building 500, Room 500G, 94305, Stanford, CA, U.S.A.
89 Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran
90 rdf:type schema:Organization
91 https://www.grid.ac/institutes/grid.34428.39 schema:alternateName Carleton University
92 schema:name Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran
93 The Rotorcraft Research Group, Department of Mechanical and Aerospace Engineering, Carleton University, ME3135, 1125 Colonel By Drive, K1S 5B6, Ottawa, Ontario, Canada
94 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...