Comparison between Bezier and Hermite cubic interpolants in elastic spline formulations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-06

AUTHORS

Sayed-Mahdi Hashemi-Dehkordi, Pier Paolo Valentini

ABSTRACT

In this paper, a comparison between two different formulations of elastic splines is made. The two methods under investigation are based on the Bézier and Hermite interpolants. The strategies have been implemented and compared using two simulation cases involving medium and large deflections of a slender element. The investigation has been carried out considering the same number of degrees of freedom, and the two approaches have been compared in terms of complexity, accuracy and robustness. Both methods have also been compared with nonlinear finite element models. More... »

PAGES

1809-1821

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00707-013-1020-1

DOI

http://dx.doi.org/10.1007/s00707-013-1020-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028987960


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/2008/0801", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Artificial Intelligence and Image Processing", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/08", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Information and Computing Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Rome Tor Vergata", 
          "id": "https://www.grid.ac/institutes/grid.6530.0", 
          "name": [
            "Department of Enterprise Engineering, University of Rome \u201cTor Vergata\u201d, Via del Politecnico, 1, 00133, Rome, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hashemi-Dehkordi", 
        "givenName": "Sayed-Mahdi", 
        "id": "sg:person.011675005523.87", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011675005523.87"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Rome Tor Vergata", 
          "id": "https://www.grid.ac/institutes/grid.6530.0", 
          "name": [
            "Department of Enterprise Engineering, University of Rome \u201cTor Vergata\u201d, Via del Politecnico, 1, 00133, Rome, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Valentini", 
        "givenName": "Pier Paolo", 
        "id": "sg:person.014112573671.28", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014112573671.28"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.mechmachtheory.2013.07.007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000256167"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2009.12.010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000497209"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11044-009-9157-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006138372", 
          "https://doi.org/10.1007/s11044-009-9157-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11044-009-9157-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006138372", 
          "https://doi.org/10.1007/s11044-009-9157-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jsvi.1999.2935", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011863736"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2004.10.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012649836"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2012.06.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014319987"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1009740800463", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015435492", 
          "https://doi.org/10.1023/a:1009740800463"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cad.2007.05.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017976791"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jsv.2012.07.039", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019832497"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s12008-012-0180-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028712896", 
          "https://doi.org/10.1007/s12008-012-0180-x"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11044-010-9232-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032208602", 
          "https://doi.org/10.1007/s11044-010-9232-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11071-013-0755-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039170505", 
          "https://doi.org/10.1007/s11071-013-0755-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2005.09.027", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044332076"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/nme.2864", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048394557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/nme.2864", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048394557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1021158911536", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049868671", 
          "https://doi.org/10.1023/a:1021158911536"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2013.05.005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051803516"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/2945.489389", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061146227"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2014-06", 
    "datePublishedReg": "2014-06-01", 
    "description": "In this paper, a comparison between two different formulations of elastic splines is made. The two methods under investigation are based on the B\u00e9zier and Hermite interpolants. The strategies have been implemented and compared using two simulation cases involving medium and large deflections of a slender element. The investigation has been carried out considering the same number of degrees of freedom, and the two approaches have been compared in terms of complexity, accuracy and robustness. Both methods have also been compared with nonlinear finite element models.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00707-013-1020-1", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1044151", 
        "issn": [
          "0001-5970", 
          "1619-6937"
        ], 
        "name": "Acta Mechanica", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "6", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "225"
      }
    ], 
    "name": "Comparison between Bezier and Hermite cubic interpolants in elastic spline formulations", 
    "pagination": "1809-1821", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8a17f98a883ab2620f843867fbcac49042892e3dcf916986080b89e7dc1128b8"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00707-013-1020-1"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1028987960"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00707-013-1020-1", 
      "https://app.dimensions.ai/details/publication/pub.1028987960"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T13:17", 
    "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/v90/0000000001_0000000264/records_8659_00000513.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs00707-013-1020-1"
  }
]
 

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/s00707-013-1020-1'

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/s00707-013-1020-1'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00707-013-1020-1'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00707-013-1020-1'


 

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

125 TRIPLES      21 PREDICATES      44 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00707-013-1020-1 schema:about anzsrc-for:08
2 anzsrc-for:0801
3 schema:author Nb62cc162d5034f94bf9e9a55d7dd14d2
4 schema:citation sg:pub.10.1007/s11044-009-9157-3
5 sg:pub.10.1007/s11044-010-9232-9
6 sg:pub.10.1007/s11071-013-0755-5
7 sg:pub.10.1007/s12008-012-0180-x
8 sg:pub.10.1023/a:1009740800463
9 sg:pub.10.1023/a:1021158911536
10 https://doi.org/10.1002/nme.2864
11 https://doi.org/10.1006/jsvi.1999.2935
12 https://doi.org/10.1016/j.cad.2007.05.008
13 https://doi.org/10.1016/j.cma.2004.10.008
14 https://doi.org/10.1016/j.cma.2005.09.027
15 https://doi.org/10.1016/j.cma.2009.12.010
16 https://doi.org/10.1016/j.cma.2012.06.008
17 https://doi.org/10.1016/j.cma.2013.05.005
18 https://doi.org/10.1016/j.jsv.2012.07.039
19 https://doi.org/10.1016/j.mechmachtheory.2013.07.007
20 https://doi.org/10.1109/2945.489389
21 schema:datePublished 2014-06
22 schema:datePublishedReg 2014-06-01
23 schema:description In this paper, a comparison between two different formulations of elastic splines is made. The two methods under investigation are based on the Bézier and Hermite interpolants. The strategies have been implemented and compared using two simulation cases involving medium and large deflections of a slender element. The investigation has been carried out considering the same number of degrees of freedom, and the two approaches have been compared in terms of complexity, accuracy and robustness. Both methods have also been compared with nonlinear finite element models.
24 schema:genre research_article
25 schema:inLanguage en
26 schema:isAccessibleForFree true
27 schema:isPartOf Nb61afdede62348c1bc00e390746903c1
28 Neec9edd4363045b691040d9e3db6a611
29 sg:journal.1044151
30 schema:name Comparison between Bezier and Hermite cubic interpolants in elastic spline formulations
31 schema:pagination 1809-1821
32 schema:productId N7de569edf24f495d8ccea5c1ab6c8c46
33 Nb07f425549d247d2a0220162b38733aa
34 Ncf388b21e97a49ff9e709ccfa7137a9f
35 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028987960
36 https://doi.org/10.1007/s00707-013-1020-1
37 schema:sdDatePublished 2019-04-10T13:17
38 schema:sdLicense https://scigraph.springernature.com/explorer/license/
39 schema:sdPublisher N07dbac4b2f394a6696f56d59172fd4de
40 schema:url http://link.springer.com/10.1007%2Fs00707-013-1020-1
41 sgo:license sg:explorer/license/
42 sgo:sdDataset articles
43 rdf:type schema:ScholarlyArticle
44 N07dbac4b2f394a6696f56d59172fd4de schema:name Springer Nature - SN SciGraph project
45 rdf:type schema:Organization
46 N1e0075f611cd42b39e58c7719055c895 rdf:first sg:person.014112573671.28
47 rdf:rest rdf:nil
48 N7de569edf24f495d8ccea5c1ab6c8c46 schema:name readcube_id
49 schema:value 8a17f98a883ab2620f843867fbcac49042892e3dcf916986080b89e7dc1128b8
50 rdf:type schema:PropertyValue
51 Nb07f425549d247d2a0220162b38733aa schema:name doi
52 schema:value 10.1007/s00707-013-1020-1
53 rdf:type schema:PropertyValue
54 Nb61afdede62348c1bc00e390746903c1 schema:issueNumber 6
55 rdf:type schema:PublicationIssue
56 Nb62cc162d5034f94bf9e9a55d7dd14d2 rdf:first sg:person.011675005523.87
57 rdf:rest N1e0075f611cd42b39e58c7719055c895
58 Ncf388b21e97a49ff9e709ccfa7137a9f schema:name dimensions_id
59 schema:value pub.1028987960
60 rdf:type schema:PropertyValue
61 Neec9edd4363045b691040d9e3db6a611 schema:volumeNumber 225
62 rdf:type schema:PublicationVolume
63 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
64 schema:name Information and Computing Sciences
65 rdf:type schema:DefinedTerm
66 anzsrc-for:0801 schema:inDefinedTermSet anzsrc-for:
67 schema:name Artificial Intelligence and Image Processing
68 rdf:type schema:DefinedTerm
69 sg:journal.1044151 schema:issn 0001-5970
70 1619-6937
71 schema:name Acta Mechanica
72 rdf:type schema:Periodical
73 sg:person.011675005523.87 schema:affiliation https://www.grid.ac/institutes/grid.6530.0
74 schema:familyName Hashemi-Dehkordi
75 schema:givenName Sayed-Mahdi
76 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011675005523.87
77 rdf:type schema:Person
78 sg:person.014112573671.28 schema:affiliation https://www.grid.ac/institutes/grid.6530.0
79 schema:familyName Valentini
80 schema:givenName Pier Paolo
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014112573671.28
82 rdf:type schema:Person
83 sg:pub.10.1007/s11044-009-9157-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006138372
84 https://doi.org/10.1007/s11044-009-9157-3
85 rdf:type schema:CreativeWork
86 sg:pub.10.1007/s11044-010-9232-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032208602
87 https://doi.org/10.1007/s11044-010-9232-9
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/s11071-013-0755-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039170505
90 https://doi.org/10.1007/s11071-013-0755-5
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/s12008-012-0180-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1028712896
93 https://doi.org/10.1007/s12008-012-0180-x
94 rdf:type schema:CreativeWork
95 sg:pub.10.1023/a:1009740800463 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015435492
96 https://doi.org/10.1023/a:1009740800463
97 rdf:type schema:CreativeWork
98 sg:pub.10.1023/a:1021158911536 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049868671
99 https://doi.org/10.1023/a:1021158911536
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1002/nme.2864 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048394557
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1006/jsvi.1999.2935 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011863736
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/j.cad.2007.05.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017976791
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/j.cma.2004.10.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012649836
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/j.cma.2005.09.027 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044332076
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/j.cma.2009.12.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000497209
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1016/j.cma.2012.06.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014319987
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1016/j.cma.2013.05.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051803516
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1016/j.jsv.2012.07.039 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019832497
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1016/j.mechmachtheory.2013.07.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000256167
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1109/2945.489389 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061146227
122 rdf:type schema:CreativeWork
123 https://www.grid.ac/institutes/grid.6530.0 schema:alternateName University of Rome Tor Vergata
124 schema:name Department of Enterprise Engineering, University of Rome “Tor Vergata”, Via del Politecnico, 1, 00133, Rome, Italy
125 rdf:type schema:Organization
 




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


...