Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-05-08

AUTHORS

J. Awrejcewicz, V. A. Krysko, S. P. Pavlov, M. V. Zhigalov, L. A. Kalutsky, A. V. Krysko

ABSTRACT

The dependence of the quality factor of nonlinear microbeam resonators under thermoelastic damping for Timoshenko beams with regard to geometric nonlinearity has been studied. The constructed mathematical model is based on the modified couple stress theory which implies prediction of size-dependent effects in microbeam resonators. The Hamilton principle has yielded coupled nonlinear thermoelastic PDEs governing dynamics of the Timoshenko microbeams for both plane stresses and plane deformations. Nonlinear thermoelastic vibrations are studied analytically and numerically and quality factors of the resonators versus geometric and material microbeam properties are estimated. Results are presented for gold microbeams for different ambient temperatures and different beam thicknesses, and they are compared with results yielded by the classical theory of elasticity in linear/nonlinear cases. More... »

PAGES

919-943

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-019-04976-w

DOI

http://dx.doi.org/10.1007/s11071-019-04976-w

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113998161


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Str., 90-924, Lodz, Poland", 
          "id": "http://www.grid.ac/institutes/grid.412284.9", 
          "name": [
            "Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Str., 90-924, Lodz, Poland"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Awrejcewicz", 
        "givenName": "J.", 
        "id": "sg:person.012103132446.89", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012103132446.89"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation", 
          "id": "http://www.grid.ac/institutes/grid.78837.33", 
          "name": [
            "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Krysko", 
        "givenName": "V. A.", 
        "id": "sg:person.015167266033.92", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015167266033.92"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematical and Computer Modeling, Saratov State University, 43 Astrachanskay Str., 410054, Saratov, Russian Federation", 
          "id": "http://www.grid.ac/institutes/grid.446088.6", 
          "name": [
            "Department of Mathematical and Computer Modeling, Saratov State University, 43 Astrachanskay Str., 410054, Saratov, Russian Federation"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pavlov", 
        "givenName": "S. P.", 
        "id": "sg:person.013753430643.27", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013753430643.27"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation", 
          "id": "http://www.grid.ac/institutes/grid.78837.33", 
          "name": [
            "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zhigalov", 
        "givenName": "M. V.", 
        "id": "sg:person.013131771141.82", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013131771141.82"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation", 
          "id": "http://www.grid.ac/institutes/grid.78837.33", 
          "name": [
            "Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kalutsky", 
        "givenName": "L. A.", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Cybernetic Institute, National Research Tomsk Polytechnic University, 30 Lenin Avenue, 634050, Tomsk, Russian Federation", 
          "id": "http://www.grid.ac/institutes/grid.27736.37", 
          "name": [
            "Department of Applied Mathematics and Systems Analysis, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation", 
            "Cybernetic Institute, National Research Tomsk Polytechnic University, 30 Lenin Avenue, 634050, Tomsk, Russian Federation"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Krysko", 
        "givenName": "A. V.", 
        "id": "sg:person.016017316223.58", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016017316223.58"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s00707-011-0480-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047544543", 
          "https://doi.org/10.1007/s00707-011-0480-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00253946", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053462849", 
          "https://doi.org/10.1007/bf00253946"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/372079a0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022623976", 
          "https://doi.org/10.1038/372079a0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00707-013-1027-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043163658", 
          "https://doi.org/10.1007/s00707-013-1027-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00542-006-0245-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030401811", 
          "https://doi.org/10.1007/s00542-006-0245-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00707-012-0622-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034635188", 
          "https://doi.org/10.1007/s00707-012-0622-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1022914020076", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019699608", 
          "https://doi.org/10.1023/a:1022914020076"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10544-007-9110-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043355716", 
          "https://doi.org/10.1007/s10544-007-9110-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01129908", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044076887", 
          "https://doi.org/10.1007/bf01129908"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-05-08", 
    "datePublishedReg": "2019-05-08", 
    "description": "The dependence of the quality factor of nonlinear microbeam resonators under thermoelastic damping for Timoshenko beams with regard to geometric nonlinearity has been studied. The constructed mathematical model is based on the modified couple stress theory which implies prediction of size-dependent effects in microbeam resonators. The Hamilton principle has yielded coupled nonlinear thermoelastic PDEs governing dynamics of the Timoshenko microbeams for both plane stresses and plane deformations. Nonlinear thermoelastic vibrations are studied analytically and numerically and quality factors of the resonators versus geometric and material microbeam properties are estimated. Results are presented for gold microbeams for different ambient temperatures and different beam thicknesses, and they are compared with results yielded by the classical theory of elasticity in linear/nonlinear cases.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s11071-019-04976-w", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1040905", 
        "issn": [
          "0924-090X", 
          "1573-269X"
        ], 
        "name": "Nonlinear Dynamics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "99"
      }
    ], 
    "keywords": [
      "couple stress theory", 
      "Timoshenko microbeams", 
      "thermoelastic vibration", 
      "constructed mathematical model", 
      "stress theory", 
      "different beam thicknesses", 
      "microbeam resonators", 
      "nonlinear case", 
      "Hamilton\u2019s principle", 
      "mathematical model", 
      "Timoshenko beam", 
      "beam thickness", 
      "geometric nonlinearity", 
      "classical theory", 
      "size-dependent effects", 
      "thermoelastic damping", 
      "theory", 
      "microbeam", 
      "PDE", 
      "gold microbeams", 
      "quality factor", 
      "plane stress", 
      "nonlinearity", 
      "vibration", 
      "resonator", 
      "geometric", 
      "damping", 
      "beam", 
      "plane deformation", 
      "dynamics", 
      "dependence", 
      "model", 
      "prediction", 
      "principles", 
      "properties", 
      "elasticity", 
      "results", 
      "cases", 
      "deformation", 
      "temperature", 
      "thickness", 
      "different ambient temperatures", 
      "effect", 
      "ambient temperature", 
      "stress", 
      "factors", 
      "regard", 
      "nonlinear microbeam resonators", 
      "nonlinear thermoelastic PDEs", 
      "thermoelastic PDEs", 
      "Nonlinear thermoelastic vibrations", 
      "material microbeam properties", 
      "microbeam properties", 
      "linear/nonlinear cases"
    ], 
    "name": "Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory", 
    "pagination": "919-943", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1113998161"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11071-019-04976-w"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11071-019-04976-w", 
      "https://app.dimensions.ai/details/publication/pub.1113998161"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T18:50", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_810.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s11071-019-04976-w"
  }
]
 

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/s11071-019-04976-w'

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/s11071-019-04976-w'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11071-019-04976-w'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11071-019-04976-w'


 

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

192 TRIPLES      22 PREDICATES      88 URIs      71 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11071-019-04976-w schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N71d3e036d1ef4eb9bdea7502784354f5
4 schema:citation sg:pub.10.1007/bf00253946
5 sg:pub.10.1007/bf01129908
6 sg:pub.10.1007/s00542-006-0245-5
7 sg:pub.10.1007/s00707-011-0480-4
8 sg:pub.10.1007/s00707-012-0622-3
9 sg:pub.10.1007/s00707-013-1027-7
10 sg:pub.10.1007/s10544-007-9110-2
11 sg:pub.10.1023/a:1022914020076
12 sg:pub.10.1038/372079a0
13 schema:datePublished 2019-05-08
14 schema:datePublishedReg 2019-05-08
15 schema:description The dependence of the quality factor of nonlinear microbeam resonators under thermoelastic damping for Timoshenko beams with regard to geometric nonlinearity has been studied. The constructed mathematical model is based on the modified couple stress theory which implies prediction of size-dependent effects in microbeam resonators. The Hamilton principle has yielded coupled nonlinear thermoelastic PDEs governing dynamics of the Timoshenko microbeams for both plane stresses and plane deformations. Nonlinear thermoelastic vibrations are studied analytically and numerically and quality factors of the resonators versus geometric and material microbeam properties are estimated. Results are presented for gold microbeams for different ambient temperatures and different beam thicknesses, and they are compared with results yielded by the classical theory of elasticity in linear/nonlinear cases.
16 schema:genre article
17 schema:inLanguage en
18 schema:isAccessibleForFree true
19 schema:isPartOf N524c55a8515446e1b1025b6a009a2787
20 Nf76f4281a5c243f986c0794f56fb17dc
21 sg:journal.1040905
22 schema:keywords Hamilton’s principle
23 Nonlinear thermoelastic vibrations
24 PDE
25 Timoshenko beam
26 Timoshenko microbeams
27 ambient temperature
28 beam
29 beam thickness
30 cases
31 classical theory
32 constructed mathematical model
33 couple stress theory
34 damping
35 deformation
36 dependence
37 different ambient temperatures
38 different beam thicknesses
39 dynamics
40 effect
41 elasticity
42 factors
43 geometric
44 geometric nonlinearity
45 gold microbeams
46 linear/nonlinear cases
47 material microbeam properties
48 mathematical model
49 microbeam
50 microbeam properties
51 microbeam resonators
52 model
53 nonlinear case
54 nonlinear microbeam resonators
55 nonlinear thermoelastic PDEs
56 nonlinearity
57 plane deformation
58 plane stress
59 prediction
60 principles
61 properties
62 quality factor
63 regard
64 resonator
65 results
66 size-dependent effects
67 stress
68 stress theory
69 temperature
70 theory
71 thermoelastic PDEs
72 thermoelastic damping
73 thermoelastic vibration
74 thickness
75 vibration
76 schema:name Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory
77 schema:pagination 919-943
78 schema:productId N1664ad0e4ccf4eca911db152aa35f53d
79 Ndab038f704954c2caabfc658aae4f508
80 schema:sameAs https://app.dimensions.ai/details/publication/pub.1113998161
81 https://doi.org/10.1007/s11071-019-04976-w
82 schema:sdDatePublished 2022-01-01T18:50
83 schema:sdLicense https://scigraph.springernature.com/explorer/license/
84 schema:sdPublisher Nf54dd635da8b4cb0bc50d85325f9a257
85 schema:url https://doi.org/10.1007/s11071-019-04976-w
86 sgo:license sg:explorer/license/
87 sgo:sdDataset articles
88 rdf:type schema:ScholarlyArticle
89 N05db0b12262f41fdb43fc70087edf76b rdf:first sg:person.013753430643.27
90 rdf:rest Nc207904fa37e46c3b3f978121700c63c
91 N1664ad0e4ccf4eca911db152aa35f53d schema:name doi
92 schema:value 10.1007/s11071-019-04976-w
93 rdf:type schema:PropertyValue
94 N524c55a8515446e1b1025b6a009a2787 schema:volumeNumber 99
95 rdf:type schema:PublicationVolume
96 N71c7a3412f364d30ac02818c52041f05 rdf:first sg:person.016017316223.58
97 rdf:rest rdf:nil
98 N71d3e036d1ef4eb9bdea7502784354f5 rdf:first sg:person.012103132446.89
99 rdf:rest Ndeae863f96f842dcb498f782b416524c
100 N7a9f2c2825f24ad99b92b30c829b07e5 rdf:first Nd6d51c17680f4bed91b01634acc1826f
101 rdf:rest N71c7a3412f364d30ac02818c52041f05
102 Nc207904fa37e46c3b3f978121700c63c rdf:first sg:person.013131771141.82
103 rdf:rest N7a9f2c2825f24ad99b92b30c829b07e5
104 Nd6d51c17680f4bed91b01634acc1826f schema:affiliation grid-institutes:grid.78837.33
105 schema:familyName Kalutsky
106 schema:givenName L. A.
107 rdf:type schema:Person
108 Ndab038f704954c2caabfc658aae4f508 schema:name dimensions_id
109 schema:value pub.1113998161
110 rdf:type schema:PropertyValue
111 Ndeae863f96f842dcb498f782b416524c rdf:first sg:person.015167266033.92
112 rdf:rest N05db0b12262f41fdb43fc70087edf76b
113 Nf54dd635da8b4cb0bc50d85325f9a257 schema:name Springer Nature - SN SciGraph project
114 rdf:type schema:Organization
115 Nf76f4281a5c243f986c0794f56fb17dc schema:issueNumber 2
116 rdf:type schema:PublicationIssue
117 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
118 schema:name Mathematical Sciences
119 rdf:type schema:DefinedTerm
120 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
121 schema:name Pure Mathematics
122 rdf:type schema:DefinedTerm
123 sg:journal.1040905 schema:issn 0924-090X
124 1573-269X
125 schema:name Nonlinear Dynamics
126 schema:publisher Springer Nature
127 rdf:type schema:Periodical
128 sg:person.012103132446.89 schema:affiliation grid-institutes:grid.412284.9
129 schema:familyName Awrejcewicz
130 schema:givenName J.
131 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012103132446.89
132 rdf:type schema:Person
133 sg:person.013131771141.82 schema:affiliation grid-institutes:grid.78837.33
134 schema:familyName Zhigalov
135 schema:givenName M. V.
136 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013131771141.82
137 rdf:type schema:Person
138 sg:person.013753430643.27 schema:affiliation grid-institutes:grid.446088.6
139 schema:familyName Pavlov
140 schema:givenName S. P.
141 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013753430643.27
142 rdf:type schema:Person
143 sg:person.015167266033.92 schema:affiliation grid-institutes:grid.78837.33
144 schema:familyName Krysko
145 schema:givenName V. A.
146 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015167266033.92
147 rdf:type schema:Person
148 sg:person.016017316223.58 schema:affiliation grid-institutes:grid.27736.37
149 schema:familyName Krysko
150 schema:givenName A. V.
151 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016017316223.58
152 rdf:type schema:Person
153 sg:pub.10.1007/bf00253946 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053462849
154 https://doi.org/10.1007/bf00253946
155 rdf:type schema:CreativeWork
156 sg:pub.10.1007/bf01129908 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044076887
157 https://doi.org/10.1007/bf01129908
158 rdf:type schema:CreativeWork
159 sg:pub.10.1007/s00542-006-0245-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030401811
160 https://doi.org/10.1007/s00542-006-0245-5
161 rdf:type schema:CreativeWork
162 sg:pub.10.1007/s00707-011-0480-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047544543
163 https://doi.org/10.1007/s00707-011-0480-4
164 rdf:type schema:CreativeWork
165 sg:pub.10.1007/s00707-012-0622-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034635188
166 https://doi.org/10.1007/s00707-012-0622-3
167 rdf:type schema:CreativeWork
168 sg:pub.10.1007/s00707-013-1027-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043163658
169 https://doi.org/10.1007/s00707-013-1027-7
170 rdf:type schema:CreativeWork
171 sg:pub.10.1007/s10544-007-9110-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043355716
172 https://doi.org/10.1007/s10544-007-9110-2
173 rdf:type schema:CreativeWork
174 sg:pub.10.1023/a:1022914020076 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019699608
175 https://doi.org/10.1023/a:1022914020076
176 rdf:type schema:CreativeWork
177 sg:pub.10.1038/372079a0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022623976
178 https://doi.org/10.1038/372079a0
179 rdf:type schema:CreativeWork
180 grid-institutes:grid.27736.37 schema:alternateName Cybernetic Institute, National Research Tomsk Polytechnic University, 30 Lenin Avenue, 634050, Tomsk, Russian Federation
181 schema:name Cybernetic Institute, National Research Tomsk Polytechnic University, 30 Lenin Avenue, 634050, Tomsk, Russian Federation
182 Department of Applied Mathematics and Systems Analysis, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation
183 rdf:type schema:Organization
184 grid-institutes:grid.412284.9 schema:alternateName Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Str., 90-924, Lodz, Poland
185 schema:name Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Str., 90-924, Lodz, Poland
186 rdf:type schema:Organization
187 grid-institutes:grid.446088.6 schema:alternateName Department of Mathematical and Computer Modeling, Saratov State University, 43 Astrachanskay Str., 410054, Saratov, Russian Federation
188 schema:name Department of Mathematical and Computer Modeling, Saratov State University, 43 Astrachanskay Str., 410054, Saratov, Russian Federation
189 rdf:type schema:Organization
190 grid-institutes:grid.78837.33 schema:alternateName Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation
191 schema:name Department of Mathematics and Modeling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054, Saratov, Russian Federation
192 rdf:type schema:Organization
 




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


...