Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order
Апстракт
In this communication, the Rodriguez method is proposed for modeling dynamics of the robotic system, where Lagrange’s equations of second kind of rigid bodies system in covariant form are used. Discrete hybrid elements with so called piezomodified Kelvin-Voight (PKV) and magnetorheological (MRD) type of viscoelastic models with fractional order derivatives
are introduced in to the system of motion equations by means of generalized forces. The results obtained are illustrated by numerical examples.
Кључне речи:
robotic system / Rodriguez formula / piezo modified viscoelastic element / fractional orderИзвор:
Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia, 2013, 227-228Издавач:
- Wiley Online Library
Финансирање / пројекти:
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
- Динамика хибридних система сложених структура. Механика материјала (RS-MESTD-Basic Research (BR or ON)-174001)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Cajić, Milan AU - Lazarević, Mihailo PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4595 AB - In this communication, the Rodriguez method is proposed for modeling dynamics of the robotic system, where Lagrange’s equations of second kind of rigid bodies system in covariant form are used. Discrete hybrid elements with so called piezomodified Kelvin-Voight (PKV) and magnetorheological (MRD) type of viscoelastic models with fractional order derivatives are introduced in to the system of motion equations by means of generalized forces. The results obtained are illustrated by numerical examples. PB - Wiley Online Library C3 - Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia T1 - Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order EP - 228 SP - 227 DO - 10.1002/pamm.201310109 ER -
@conference{ author = "Cajić, Milan and Lazarević, Mihailo", year = "2013", abstract = "In this communication, the Rodriguez method is proposed for modeling dynamics of the robotic system, where Lagrange’s equations of second kind of rigid bodies system in covariant form are used. Discrete hybrid elements with so called piezomodified Kelvin-Voight (PKV) and magnetorheological (MRD) type of viscoelastic models with fractional order derivatives are introduced in to the system of motion equations by means of generalized forces. The results obtained are illustrated by numerical examples.", publisher = "Wiley Online Library", journal = "Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia", title = "Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order", pages = "228-227", doi = "10.1002/pamm.201310109" }
Cajić, M.,& Lazarević, M.. (2013). Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order. in Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia Wiley Online Library., 227-228. https://doi.org/10.1002/pamm.201310109
Cajić M, Lazarević M. Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order. in Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia. 2013;:227-228. doi:10.1002/pamm.201310109 .
Cajić, Milan, Lazarević, Mihailo, "Equations of Motion of Robotic System With Piezo‐Modified Viscoelastic and Magnetorheological Elements of Fractional Order" in Proceedings of 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2013), PAMM, 13(1), 227-22818-22 March, Novi Sad Serbia (2013):227-228, https://doi.org/10.1002/pamm.201310109 . .