Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach
Само за регистроване кориснике
2019
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper the linear free vibration analysis of an arbitrarily curved spatial Bernoulli – Euler beam with circular cross section using isogeometric approach has been presented. In order to carry out free vibration analysis of the beam, the stiffness and mass matrices have been derived using basic properties of the continuum mechanics and differential geometry. The isogeometric approach is based on the idea that both the geometry and the displacement fields are described using the same basis functions - NURBS (Non – Uniform Rational B – Spline). The validation of
the proposed approach has been carried out on the spatial beam with arbitrary shape. Natural frequencies and mode shapes have shown good agreement with the results obtained using software based on classical finite element method.
Кључне речи:
free vibration analysis / spatial Bernoulli – Euler beam / circular cross section / isogeometric approachИзвор:
2019Финансирање / 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 - Radenković, Gligor AU - Nefovska-Danilović, Marija PY - 2019 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2072 AB - In this paper the linear free vibration analysis of an arbitrarily curved spatial Bernoulli – Euler beam with circular cross section using isogeometric approach has been presented. In order to carry out free vibration analysis of the beam, the stiffness and mass matrices have been derived using basic properties of the continuum mechanics and differential geometry. The isogeometric approach is based on the idea that both the geometry and the displacement fields are described using the same basis functions - NURBS (Non – Uniform Rational B – Spline). The validation of the proposed approach has been carried out on the spatial beam with arbitrary shape. Natural frequencies and mode shapes have shown good agreement with the results obtained using software based on classical finite element method. T1 - Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach UR - https://hdl.handle.net/21.15107/rcub_grafar_2072 ER -
@conference{ author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija", year = "2019", abstract = "In this paper the linear free vibration analysis of an arbitrarily curved spatial Bernoulli – Euler beam with circular cross section using isogeometric approach has been presented. In order to carry out free vibration analysis of the beam, the stiffness and mass matrices have been derived using basic properties of the continuum mechanics and differential geometry. The isogeometric approach is based on the idea that both the geometry and the displacement fields are described using the same basis functions - NURBS (Non – Uniform Rational B – Spline). The validation of the proposed approach has been carried out on the spatial beam with arbitrary shape. Natural frequencies and mode shapes have shown good agreement with the results obtained using software based on classical finite element method.", title = "Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach", url = "https://hdl.handle.net/21.15107/rcub_grafar_2072" }
Jočković, M., Radenković, G.,& Nefovska-Danilović, M.. (2019). Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach. . https://hdl.handle.net/21.15107/rcub_grafar_2072
Jočković M, Radenković G, Nefovska-Danilović M. Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach. 2019;. https://hdl.handle.net/21.15107/rcub_grafar_2072 .
Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, "Free vibration analysis of curved spatial Bernoulli-Euler beam with circular cross section using isogeometric approach" (2019), https://hdl.handle.net/21.15107/rcub_grafar_2072 .