A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES
Само за регистроване кориснике
2016
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper, the synchronous axial and bending vibration problem of elastic beams with
variable cross-sectional profile and inhomogeneous material and conjugated boundary conditions
is considered. The orthogonality conditions of mode shapes are derived for the case with no
repeated natural frequencies, along with the constants for the corresponding time function. In that
manner the response of the beam to initial excitations is covered in the theoretical aspect. The
numerical background for solving the problem is explained based on the theory of numerical
“shooting” method and boundary conditions of a considered mechanical case. The case of beams
with no attached end masses and rigid bodies is considered in this paper. Also, one numerical
example is presented to accompany theoretical considerations. The numerical procedure which is
introduced in this paper can also be applied to more complex systems of elastic and rigid bodies,
for instance, those considered in references [...11, 15].
Кључне речи:
vibrations / boundary conditions / mode shapes / variable characteristics of beamsИзвор:
Proceedings, The 6th International Congress of Serbian Society of Mechanics, 2016Издавач:
- Serbian Society of Mechanics
- Faculty of Mechanical Engineering
Финансирање / пројекти:
- Одрживи развој технологија и опреме за рециклажу моторних возила (RS-MESTD-Technological Development (TD or TR)-35033)
Напомена:
- Награда Растко Стојановић.
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Tomović, Aleksandar PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6213 AB - In this paper, the synchronous axial and bending vibration problem of elastic beams with variable cross-sectional profile and inhomogeneous material and conjugated boundary conditions is considered. The orthogonality conditions of mode shapes are derived for the case with no repeated natural frequencies, along with the constants for the corresponding time function. In that manner the response of the beam to initial excitations is covered in the theoretical aspect. The numerical background for solving the problem is explained based on the theory of numerical “shooting” method and boundary conditions of a considered mechanical case. The case of beams with no attached end masses and rigid bodies is considered in this paper. Also, one numerical example is presented to accompany theoretical considerations. The numerical procedure which is introduced in this paper can also be applied to more complex systems of elastic and rigid bodies, for instance, those considered in references [11, 15]. PB - Serbian Society of Mechanics PB - Faculty of Mechanical Engineering C3 - Proceedings, The 6th International Congress of Serbian Society of Mechanics T1 - A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES UR - https://hdl.handle.net/21.15107/rcub_machinery_6213 ER -
@conference{ author = "Tomović, Aleksandar", year = "2016", abstract = "In this paper, the synchronous axial and bending vibration problem of elastic beams with variable cross-sectional profile and inhomogeneous material and conjugated boundary conditions is considered. The orthogonality conditions of mode shapes are derived for the case with no repeated natural frequencies, along with the constants for the corresponding time function. In that manner the response of the beam to initial excitations is covered in the theoretical aspect. The numerical background for solving the problem is explained based on the theory of numerical “shooting” method and boundary conditions of a considered mechanical case. The case of beams with no attached end masses and rigid bodies is considered in this paper. Also, one numerical example is presented to accompany theoretical considerations. The numerical procedure which is introduced in this paper can also be applied to more complex systems of elastic and rigid bodies, for instance, those considered in references [11, 15].", publisher = "Serbian Society of Mechanics, Faculty of Mechanical Engineering", journal = "Proceedings, The 6th International Congress of Serbian Society of Mechanics", title = "A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES", url = "https://hdl.handle.net/21.15107/rcub_machinery_6213" }
Tomović, A.. (2016). A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES. in Proceedings, The 6th International Congress of Serbian Society of Mechanics Serbian Society of Mechanics.. https://hdl.handle.net/21.15107/rcub_machinery_6213
Tomović A. A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES. in Proceedings, The 6th International Congress of Serbian Society of Mechanics. 2016;. https://hdl.handle.net/21.15107/rcub_machinery_6213 .
Tomović, Aleksandar, "A NOVEL APPROACH TO THE FREE AXIAL-BENDING VIBRATION PROBLEM OF INHOMOGENEOUS ELASTIC BEAMS WITH VARIABLE CROSS-SECTIONAL PROFILES" in Proceedings, The 6th International Congress of Serbian Society of Mechanics (2016), https://hdl.handle.net/21.15107/rcub_machinery_6213 .