dc.contributor.author | Mikoliūnas, Audrius | |
dc.contributor.author | Kačianauskas, Rimantas | |
dc.date.accessioned | 2023-09-18T19:47:42Z | |
dc.date.available | 2023-09-18T19:47:42Z | |
dc.date.issued | 1997 | |
dc.identifier.issn | 1392-1525 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/143290 | |
dc.description.abstract | Two-dimensional geometrically non-linear beam element is considered in this paper. The explicit expressions of stiffness characteristics of element with three nodes are derived and tested. Among models of the geometrically non-linear beams, the elements with 2 nodes dominate [1-8]. Such elements produce constant axial force. The idea of more complex elements with tree nodes was suggested in [3]. In this paper geometrically non-linear flat bending beam element with 3 nodes for evaluating of axial force is investigated and nonlinear stiffness characteristics are derived. Basic relations of element e are derived using virtual displacement method. On the level of element e, the principle of virtual displacements is expressed by equalities (1-3). Using displacement approach, displacement functions are prescribed in the bounds of one finite element. Generalised deformations are obtained by introducing displacements approximation (4) and inserting them into non-linear geometric equations (5-6). Variation of deformation energy (3) is expressed in (7). Putting equality (7) into (1), it is possible to write equality of virtual works in terms of non-linear algebraic equations (8). Non-linear stiffness matrix is presented as the sum of 3 matrices (9). The first matrix [K0e,] (linear matrix) is the matrix of small deflections, which is independent on deformed shape. The second matrix [KNe] is the matrix of large deflections. The third matrix [КGe] is a geometrical stiffness matrix. It reflects the second member of equality (7). Expressions of geometrically non-linear stiffness matrices are greatly dependent on the introduced assumptions and appropriate elements. [...] | eng |
dc.format.extent | p. 52-59 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | lit | |
dc.title | Geometriškai netiesinio lenkiamo strypo baigtinio elemento standumo rodiklių nustatymas | |
dc.title.alternative | Stiffness characteristics of geometrically non-linear beam finite element | |
dc.type | Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed source | |
dcterms.references | 10 | |
dc.type.pubtype | S4 - Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed publication | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | T 008 - Medžiagų inžinerija / Material engineering | |
dc.subject.researchfield | T 009 - Mechanikos inžinerija / Mechanical enginering | |
dc.subject.lt | baigtinis elementas | |
dc.subject.lt | matrica | |
dc.subject.lt | strypas | |
dc.subject.en | non-linear beam element | |
dc.subject.en | deformation energy | |
dc.subject.en | geometrical stiffness matrix | |
dcterms.sourcetitle | Statyba = Civil engineering | |
dc.description.issue | Nr. 2(10) | |
dc.publisher.name | Technika | |
dc.publisher.city | Vilnius | |
dc.identifier.elaba | 40337664 | |