scholarly journals Frame on Elastic Foundation / Rám Na Pružnom Podloží

2012 ◽  
Vol 12 (2) ◽  
pp. 216-224
Author(s):  
Katarína Tvrdá
Keyword(s):  
Elastic Foundation ◽  
Stiffness Matrix ◽  
Beam Element ◽  
Winkler Foundation ◽  
Displacement Method ◽  
Exact Stiffness Matrix

Abstract This article deals with calculation of the beam and frame rested on elastic foundation using matrix displacement method. An exact stiffness matrix of a beam element on elastic foundation is formulated. The beam is rested on elastic Winkler foundation. At the end off paper, same results of frame on elastic foundation are presented.

Exact stiffness matrix for beams on elastic foundation

1985 ◽  
Vol 21 (6) ◽  
pp. 1355-1359 ◽  
Author(s):  
Moshe Eisenberger ◽  
David Z. Yankelevsky
Keyword(s):  
Elastic Foundation ◽  
Stiffness Matrix ◽  
Beams On Elastic Foundation ◽  
Exact Stiffness Matrix

Exact stiffness matrix for nonlocal bars embedded in elastic foundation media: the virtual-force approach

2014 ◽  
Vol 89 (1) ◽  
pp. 163-176 ◽  
Author(s):  
Suchart Limkatanyu ◽  
Woraphot Prachasaree ◽  
Nattapong Damrongwiriyanupap ◽  
Minho Kwon
Keyword(s):  
Elastic Foundation ◽  
Stiffness Matrix ◽  
Virtual Force ◽  
Exact Stiffness Matrix

Geometrical Stiffness of Thin-Walled I-Beam Element Based on Rigid-Beam Assemblage Concept

2012 ◽  
Vol 28 (1) ◽  
pp. 97-106 ◽  
Author(s):  
J. D. Yau ◽  
S.-R. Kuo
Keyword(s):  
Stiffness Matrix ◽  
Virtual Work ◽  
Bending Moment ◽  
Beam Element ◽  
Narrow Beam ◽  
Cross Sectional ◽  
Geometric Stiffness ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Thin Walled

ABSTRACTUsing conventional virtual work method to derive geometric stiffness of a thin-walled beam element, researchers usually have to deal with nonlinear strains with high order terms and the induced moments caused by cross sectional stress results under rotations. To simplify the laborious procedure, this study decomposes an I-beam element into three narrow beam components in conjunction with geometrical hypothesis of rigid cross section. Then let us adopt Yanget al.'s simplified geometric stiffness matrix [kg]12×12of a rigid beam element as the basis of geometric stiffness of a narrow beam element. Finally, we can use rigid beam assemblage and stiffness transformation procedure to derivate the geometric stiffness matrix [kg]14×14of an I-beam element, in which two nodal warping deformations are included. From the derived [kg]14×14matrix, it can take into account the nature of various rotational moments, such as semi-tangential (ST) property for St. Venant torque and quasi-tangential (QT) property for both bending moment and warping torque. The applicability of the proposed [kg]14×14matrix to buckling problem and geometric nonlinear analysis of loaded I-shaped beam structures will be verified and compared with the results presented in existing literatures. Moreover, the post-buckling behavior of a centrally-load web-tapered I-beam with warping restraints will be investigated as well.

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