Vibration and stability of rotating annular disks composed of different materials
Abstract
Transverse vibrations of a rotating annular disk composed of two annular disks of different materials are studied in this paper. The disk is clamped at the inner edge, while at the outer edge is free. Differential equations of small vibrations are solved exactly by series expansion using the Frobenius method. The solutions are separately presented for three cases corresponding to vibration with zero, one or two nodal diameters. The influence of angular velocity, moduli of elasticity and the volume densities of the materials of disks on vibration frequency is analyzed. Vibration frequencies are obtained for the disk composed of aluminum and steel. Influences of the inner radius and the radius of the connection on the vibration frequencies are also obtained.
Keywords:
Transversal vibration / Stability / Rotating disk / Frobenius methodSource:
Archive of Applied Mechanics, 2015, 85, 1, 117-131Publisher:
- Springer, New York
Funding / projects:
- Mechanics of nonlinear and dissipative systems - contemporary models, analysis and applications (RS-MESTD-Basic Research (BR or ON)-174016)
- Developed new methods for diagnosis and examination mechanical structures (RS-MESTD-Technological Development (TD or TR)-35040)
- Pressure equipment integrity under simultaneous effect of fatigue loading and temperature (RS-MESTD-Technological Development (TD or TR)-35011)
DOI: 10.1007/s00419-014-0903-5
ISSN: 0939-1533
WoS: 000347288900008
Scopus: 2-s2.0-84920706178
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Maretić, R. AU - Glavardanov, V. AU - Milošević-Mitić, Vesna PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2102 AB - Transverse vibrations of a rotating annular disk composed of two annular disks of different materials are studied in this paper. The disk is clamped at the inner edge, while at the outer edge is free. Differential equations of small vibrations are solved exactly by series expansion using the Frobenius method. The solutions are separately presented for three cases corresponding to vibration with zero, one or two nodal diameters. The influence of angular velocity, moduli of elasticity and the volume densities of the materials of disks on vibration frequency is analyzed. Vibration frequencies are obtained for the disk composed of aluminum and steel. Influences of the inner radius and the radius of the connection on the vibration frequencies are also obtained. PB - Springer, New York T2 - Archive of Applied Mechanics T1 - Vibration and stability of rotating annular disks composed of different materials EP - 131 IS - 1 SP - 117 VL - 85 DO - 10.1007/s00419-014-0903-5 ER -
@article{ author = "Maretić, R. and Glavardanov, V. and Milošević-Mitić, Vesna", year = "2015", abstract = "Transverse vibrations of a rotating annular disk composed of two annular disks of different materials are studied in this paper. The disk is clamped at the inner edge, while at the outer edge is free. Differential equations of small vibrations are solved exactly by series expansion using the Frobenius method. The solutions are separately presented for three cases corresponding to vibration with zero, one or two nodal diameters. The influence of angular velocity, moduli of elasticity and the volume densities of the materials of disks on vibration frequency is analyzed. Vibration frequencies are obtained for the disk composed of aluminum and steel. Influences of the inner radius and the radius of the connection on the vibration frequencies are also obtained.", publisher = "Springer, New York", journal = "Archive of Applied Mechanics", title = "Vibration and stability of rotating annular disks composed of different materials", pages = "131-117", number = "1", volume = "85", doi = "10.1007/s00419-014-0903-5" }
Maretić, R., Glavardanov, V.,& Milošević-Mitić, V.. (2015). Vibration and stability of rotating annular disks composed of different materials. in Archive of Applied Mechanics Springer, New York., 85(1), 117-131. https://doi.org/10.1007/s00419-014-0903-5
Maretić R, Glavardanov V, Milošević-Mitić V. Vibration and stability of rotating annular disks composed of different materials. in Archive of Applied Mechanics. 2015;85(1):117-131. doi:10.1007/s00419-014-0903-5 .
Maretić, R., Glavardanov, V., Milošević-Mitić, Vesna, "Vibration and stability of rotating annular disks composed of different materials" in Archive of Applied Mechanics, 85, no. 1 (2015):117-131, https://doi.org/10.1007/s00419-014-0903-5 . .