Beam theory in spline parametric cooridinate. Part I
Teorija štapa u spline parametarskoj koordinati – deo I
Apstrakt
For defining geometry and displacement of arbitrary curved beam in Euclidean E3 space, using simple and rational basis spline, Bernoulli-Euler beam finite element is defined. Because geometry of line structures is exactly presented with rational basis spline and wanted continuity at the common points between adjacent segments is achieved (C>1), the generalized coordinates for izogeometric finite element are only displacements of control points. The stiffness matrix and equivalent control forces of isogeometric Bernoulli-Euler beam elements are defined under assumption that spline parametric coordinate (beam axis) and principal moments of inertia of cross section have convective character.
Izvor:
Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 2014, 30, 397-403Izdavač:
- Građevinski fakultet, Subotica
Napomena:
- Zbornik radova Građevinskog fakulteta
Institucija/grupa
GraFarTY - CONF AU - Radenković, Gligor PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1256 AB - For defining geometry and displacement of arbitrary curved beam in Euclidean E3 space, using simple and rational basis spline, Bernoulli-Euler beam finite element is defined. Because geometry of line structures is exactly presented with rational basis spline and wanted continuity at the common points between adjacent segments is achieved (C>1), the generalized coordinates for izogeometric finite element are only displacements of control points. The stiffness matrix and equivalent control forces of isogeometric Bernoulli-Euler beam elements are defined under assumption that spline parametric coordinate (beam axis) and principal moments of inertia of cross section have convective character. PB - Građevinski fakultet, Subotica C3 - Međunarodna konferencija Savremena dostignuća u građevinarstvu 25 T1 - Beam theory in spline parametric cooridinate. Part I T1 - Teorija štapa u spline parametarskoj koordinati – deo I EP - 403 SP - 397 VL - 30 DO - 10.14415/konferencijaGFS2014.054 ER -
@conference{ author = "Radenković, Gligor", year = "2014", abstract = "For defining geometry and displacement of arbitrary curved beam in Euclidean E3 space, using simple and rational basis spline, Bernoulli-Euler beam finite element is defined. Because geometry of line structures is exactly presented with rational basis spline and wanted continuity at the common points between adjacent segments is achieved (C>1), the generalized coordinates for izogeometric finite element are only displacements of control points. The stiffness matrix and equivalent control forces of isogeometric Bernoulli-Euler beam elements are defined under assumption that spline parametric coordinate (beam axis) and principal moments of inertia of cross section have convective character.", publisher = "Građevinski fakultet, Subotica", journal = "Međunarodna konferencija Savremena dostignuća u građevinarstvu 25", title = "Beam theory in spline parametric cooridinate. Part I, Teorija štapa u spline parametarskoj koordinati – deo I", pages = "403-397", volume = "30", doi = "10.14415/konferencijaGFS2014.054" }
Radenković, G.. (2014). Beam theory in spline parametric cooridinate. Part I. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25 Građevinski fakultet, Subotica., 30, 397-403. https://doi.org/10.14415/konferencijaGFS2014.054
Radenković G. Beam theory in spline parametric cooridinate. Part I. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25. 2014;30:397-403. doi:10.14415/konferencijaGFS2014.054 .
Radenković, Gligor, "Beam theory in spline parametric cooridinate. Part I" in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 30 (2014):397-403, https://doi.org/10.14415/konferencijaGFS2014.054 . .