The linearized three-dimensional beam theory of naturally curved and twisted beams : the strain vectors formulation

Zupan, Dejan (avtor), Saje, Miran (avtor)

This paper presents the equations of the linearized geometrically exact three-dimensional beam theory of naturally curved and twisted beams. A new finite-element formulation for the linearized theory is proposed in which the strain vectors are the only unknown functions. The linear form of the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. An arbitrary curved and twisted axis of the beam is taken into account which demands proper consideration of the non-linearity of spatial rotations. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by comparing present numerical results with various analytical and numerical results. (c) 2005 Elsevier B.V. All rights reserved.

• Jezik: Angleški jezik
• Ključne besede: linear beam theory, naturally curved beam, twisted beam, consistent linearization, strain measure, three-dimensional beam, three-dimensional rotation
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2006
• Št. strani: Str. 4557-4578
• Številčenje: Letn. 195, št. 33-36
• PID: 20.500.12556/RUL-32155
• UDK: 624.072:519.61/.64
• ISSN pri članku: 0045-7825
• DOI: 10.1016/j.cma.2005.10.002
• COBISS.SI-ID: 3169889
• Datum objave v RUL: 10.07.2015

Gradivo je del revije

• Naslov: Computer methods in applied mechanics and engineering
• Skrajšan naslov: Comput. methods appl. mech. eng.
• Založnik: Elsevier
• ISSN: 0045-7825
• COBISS.SI-ID: 6695685

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: linearna teorija nosilcev, ukrivljeni nosilci, zviti nosilci, konsistentna linearizacija, deformacijske količine, prostorski nosilci, prostorske rotacije