Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Computational Mechanics
Erschienen in: Computational Mechanics 5/2016

01.05.2016 | Original Paper

A peridynamic model for the nonlinear static analysis of truss and tensegrity structures

verfasst von: Hui Li, Hongwu Zhang, Yonggang Zheng, Liang Zhang

Erschienen in: Computational Mechanics | Ausgabe 5/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A peridynamic model is developed in this paper for the nonlinear static analysis of truss and tensegrity structures. In the present model, the motion equations of material points are established on the current configuration and the pairwise forces are functions of extension and direction of the bonds. The peridynamic parameters are obtained based on the equivalence between the strain energy densities of the peridynamic and classical continuum models. The present model is applied to the mechanical analysis of bimodular truss and tensegrity structures, in which the compressive modulus is set to be zero for the cables. Several representative examples are carried out and the results verify the validity and efficiency of the developed model by comparing with the conventional nonlinear finite element method.
Vorheriger Artikel Numerical treatment of a geometrically nonlinear planar Cosserat shell model
Nächster Artikel On the accuracy of numerical integration over the unit sphere applied to full network models

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Korkmaz SA (2011) A review of active structural control: challenge for engineering informatics. Comput Struct 89:2113–32CrossRef
2.
Domer B, Smith I (2005) An active structure that learns. J Comput Civil Eng 19:16–24CrossRef
3.
Ziegler F (2005) Computational aspects of structural shape control. Comput Struct 83:1191–204CrossRef
4.
Sultan C (2009) Tensegrity: 60 years of art, science, and engineering. Adv Appl Mech 43:69–145CrossRef
5.
Pugh A (1976) An introduction to tensegrity. Uniersity of California Press, Oakland
6.
Motro R (2003) Tensegrity: structural systems for the future. Kogan Page, LondonCrossRef
7.
Skelton RE, de Oliveira MC (2009) Tensegrity systems. Springer, New YorkMATH
8.
Moored KW, Bart-Smith H (2003) Investigation of clustered actuation in tensegrity structures. Int J Solids Struct 18:209–23MATH
9.
Pagitz M, Mirats Tur JM (2009) Finite element based form-finding algorithm for tensegrity structures. Int J Solids Struct 46:3235–40CrossRefMATH
10.
Tran HC, Lee J (2010) Advanced forming-finding for cable-strut structures. Int J Solids Struct 47:1785–94CrossRefMATH
11.
Xu X, Luo YZ (2010) Forming-finding of nonregular tensegrities using a genetic algorithm. Mech Res Commun 37:85–91CrossRefMATH
12.
Li Y, Feng XQ, Cao YP, Gao HJ (2010) A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures. Int J Solids Struct 47:1888–98CrossRefMATH
13.
Zhang LY, Li Y, Cao YP, Feng XQ (2014) Stiffness matrix based form-finding method of tensegrity structures. Eng Struct 58:36–48CrossRef
14.
Zhang HW, Zhang L, Gao Q (2011) An efficient computational method for mechanical analysis of bimodular structures based on parametric variational principle. Comput Struct 89:2352–60CrossRef
15.
Zhang HW, Zhang L, Gao Q (2012) Numerical method for dynamic analysis of 2-D bimodular structures. AIAA J 50:1933–42CrossRef
16.
Zhang L, Gao Q, Zhang HW (2013) An efficient algorithm for mechanical analysis of bimodular truss and tensegrity structures. Int J Mech Sci 70:57–68CrossRef
17.
Nineb S, Alart P, Dureisseix D (2007) Domain decomposition approach for non-smooth discrete problems, example of a tensegrity structure. Comput Struct 85:499–511CrossRef
18.
Oliveto ND, Sivaselvan MV (2011) Dynamic analysis of tensegrity structures using a complementarity framework. Comput Struct 89:2471–83CrossRef
19.
Ali NBH, Rhode-Barbarigos L, Smith IFC (2011) Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm. Int J Solids Struct 48:637–47CrossRefMATH
20.
Raja MG, Narayanan S (2007) Active control of tensegrity structures under random excitation. Smart Mater Struct 16:809–17CrossRef
21.
Silling SA (2000) Reformulation of elasticity theory for discontinuities and long-range forces. J Mech Phys Solids 48:175–209MathSciNetCrossRefMATH
22.
Seleson P, Parks ML, Gunzburger M, Lehoucq RB (2009) Peridynamics as an upscaling of molecular dynamics. Multiscale Model Simul 8(1):204–27MathSciNetCrossRefMATH
23.
24.
Silling SA, Lehoucq RB (2010) Peridynamic theory of solid mechanics. Adv Appl Mech 44:173–68
25.
26.
27.
28.
Bobaru F, Duangpanya M (2010) The peridynamic formulation for transient heat conduction. Int J Heat Mass Transf 53:4047–4059CrossRefMATH
29.
Bobaru F, Duangpanya M (2012) A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities. J Comput Phys 231:2764–85MathSciNetCrossRefMATH
30.
31.
Hu W, Ha YD, Bobaru F (2012) Peridynanic model for dynamic fracture in unidirectional fiber-reinforced composites. Comput Methods Appl Mech Eng 217–220:247–261MathSciNetCrossRefMATH
32.
Gerstle W, Sau N, Silling SA (2007) Peridynamic modeling of concrete structures. Nucl Eng Des 237:1250–1258CrossRef
33.
O’Grady J, Foster JT (2014) Peridynamic beams: a non-ordinary, state-based model. Int J Solids Struct 51:3177–3183CrossRef
34.
Katiyar A, Foster JT, Ouchi H, Sharma MM (2014) A peridynamic formulation of pressure driven convective fluid transport in porous media. J Comput Phys 261:209–229MathSciNetCrossRef
35.
Le QV, Chan WK, Schwartz J (2014) A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids. Int J Numer Methods Eng 98:547–561MathSciNetCrossRef
36.
Kilic B (2008) Peridynamic theory for progressive failure prediction in homogeneous and heterogeneous materials. Ph. D. Dissertaion, The University of Arizona, Tucson
37.
Kilic B, Madenci E (2009) Structural stability and failure analysis using peridynamic theory. Int J Nonlinear Mech 44:845–854CrossRefMATH
38.
Newmark NM (1959) A method of computation for structural dynamics. ASCE J Eng Mech Div 85:67–94
39.
Underwood P (1983) Dynamic relaxation. In: Achenbach JD, Belytschko T, Bathe KJ (eds) Computational methods for transient analysis, vol 1. Elsevier, Amsterdam, pp 245–265
40.
Borst R, Crisfield MA, Remmers JJC, Verhoose CV (2012) Non-linear finite element analysis of solids and structures, 2nd edn. Wiley, ChichesterCrossRef
41.
Sultan C, Corless M, Skelton RE (2001) The prestressability problem of tensegrity structures: some analytical solutions. Int J Solids Struct 38:5223–52CrossRefMATH
42.
Sultan C, Corless M, Skelton RE (2002) Symmetrical reconfiguration of tensegrity structures. Int J Solids Struct 39:2215–2234CrossRefMATH
43.
Anderson E, Bai Z, Bischof C, Blackford S, Demmel J, Dongarra J, Du Croz J, Greenbaum A, Hammarling S, McKenney A, Sorensen D (1999) LAPACK users’ guide, 3rd edn. Society for Industrial and Applied Mathematics, PhiladelphiaCrossRefMATH
Metadaten
Titel
A peridynamic model for the nonlinear static analysis of truss and tensegrity structures
verfasst von
Hui Li
Hongwu Zhang
Yonggang Zheng
Liang Zhang
Publikationsdatum
01.05.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2016
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-016-1264-4

Weitere Artikel der Ausgabe 5/2016

Computational Mechanics 5/2016 Zur Ausgabe

Original Paper

On the accuracy of numerical integration over the unit sphere applied to full network models

Original Paper

Homogenization techniques for the analysis of porous SMA

Original Paper

Assessment and improvement of mapping algorithms for non-matching meshes and geometries in computational FSI

Original Paper

Stabilized tetrahedral elements for crystal plasticity finite element analysis overcoming volumetric locking

Original Paper

Numerical modeling of inelastic structures at loading of steady state rolling

Original Paper

Stable and flux-conserved meshfree formulation to model shocks

Neuer Inhalt

    Bildnachweise