Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach
Апстракт
In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, l...ess number of degrees of freedom are required in order to obtain accurate results.
Кључне речи:
Bernoulli – Euler beam / spatial curved beam / linear transient analysisИзвор:
Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021, 2021, 194-201Издавач:
- Serbian Society of Mechanics
Финансирање / пројекти:
- Истраживање утицаја вибрација од саобраћаја на зграде и људе у циљу одрживог развоја градова (RS-MESTD-Technological Development (TD or TR)-36046)
Колекције
Институција/група
GraFarTY - CONF AU - Jočković, Miloš AU - Nefovska-Danilović, Marija PY - 2021 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2392 AB - In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results. PB - Serbian Society of Mechanics C3 - Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021 T1 - Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach EP - 201 SP - 194 UR - https://hdl.handle.net/21.15107/rcub_grafar_2392 ER -
@conference{ author = "Jočković, Miloš and Nefovska-Danilović, Marija", year = "2021", abstract = "In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results.", publisher = "Serbian Society of Mechanics", journal = "Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021", title = "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach", pages = "201-194", url = "https://hdl.handle.net/21.15107/rcub_grafar_2392" }
Jočković, M.,& Nefovska-Danilović, M.. (2021). Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021 Serbian Society of Mechanics., 194-201. https://hdl.handle.net/21.15107/rcub_grafar_2392
Jočković M, Nefovska-Danilović M. Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021. 2021;:194-201. https://hdl.handle.net/21.15107/rcub_grafar_2392 .
Jočković, Miloš, Nefovska-Danilović, Marija, "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach" in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021 (2021):194-201, https://hdl.handle.net/21.15107/rcub_grafar_2392 .