We present a direct model of beam which takes into consideration the deformation of the section by effect of orthogonal actions. The variation of size and the distortion of the transversal sections are taken into account as well as the usual rigid rotation-torsion-warping. We deduce the equations of motion in terms of the kinematic descriptors. A simple numerical example is also presented to show the consistence of the proposed model.
Sabatini, L. (2021). A linear theory of beams with deformable cross section. Journal of Mathematical Modeling, 9(3), 465-483. doi: 10.22124/jmm.2021.17932.1548
MLA
Luca Sabatini. "A linear theory of beams with deformable cross section". Journal of Mathematical Modeling, 9, 3, 2021, 465-483. doi: 10.22124/jmm.2021.17932.1548
HARVARD
Sabatini, L. (2021). 'A linear theory of beams with deformable cross section', Journal of Mathematical Modeling, 9(3), pp. 465-483. doi: 10.22124/jmm.2021.17932.1548
VANCOUVER
Sabatini, L. A linear theory of beams with deformable cross section. Journal of Mathematical Modeling, 2021; 9(3): 465-483. doi: 10.22124/jmm.2021.17932.1548
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