Bu öğeden alıntı yapmak, öğeye bağlanmak için bu tanımlayıcıyı kullanınız: http://hdl.handle.net/11452/21435
Başlık: On the eigenfrequencies of a two-part beam-mass system
Yazarlar: Uludağ Üniversitesi/Mühendislik Fakültesi/Makina Mühendisliği Bölümü.
Çetin, Sevda Telli
Kopmaz, Osman
AAG-4708-2019
6603311475
7801643721
Anahtar kelimeler: Distributed mass
Free vibration
Acoustics
Engineering
Mechanics
Beams and girders
Bending (deformation)
Boundary conditions
Eigenvalues and eigenfunctions
Elasticity
Equations of motion
Mathematical models
Natural frequencies
Shafts (machine components)
Beam-mass system
Eigenfrequencies
Vibrations (mechanical)
Yayın Tarihi: 25-Nis-2002
Yayıncı: Academic Press Ltd. - Elsevier Science Ltd
Atıf: Kopmaz, O ve Telli, S. (2002). "On the eigenfrequencies of a two-part beam-mass system". Journal of Sound and Vibration, 252(2), 370-384.
Özet: The free vibration of beams and rods carrying concentrated (lumped) or distributed mass has been extensively investigated in detail for the last three decades. To have an idea about the subject studied in the relevant literature one can refer to the papers listed at the end of this work. Among the vast number of papers, the following can be mentioned. Chen [1] and Goel [2] studied the eigenfrequencies of beams carrying a concentrated mass. Bhat and Wagner [3], and Bhat and Kulkarni [4] obtained the natural frequencies of a cantilevered beam with a slender tip mass. They showed that the gyroscopic elect of the tip mass on the frequencies must be taken into account when its dimensions are considerable compared with those of the carrying beam. Recently, Chan and Zhang [5] studied the free vibration of a cantilever tube partially"filled with liquid, considering it as a beam with distributed mass.Chanet al. [6], and Chan and Wang [7] investigated the free vibration of simply supported and cantilever beams with distributed mass, using Euler}Bernoulli and Timoshenko beam models respectively. Chanet al. [8] treated the free vibration of a beam with two distributed masses in-span. Low [9] derived the frequency equations of a beam with a concentrated mass in-span under classical boundary conditions. Cutchins [10], Batan and Gurgöze [11]dealt with the longitudinal vibrations of rods carrying a concentrated mass. Gürgöze and Inceoglu [12] studied the axial vibration of an elastic rod with external distributed mass. However, it is observed in these works that a system consisting of a mass carried by two different beam segments has not been treated yet. In this paper, a method is presented to obtain the natural frequencies of such a system as shown in Figure 1, due to its practical importance. The general frequency equation derived in the context of this method can also be used to find the eigenfrequencies of the beams either carrying or not carrying a concentrated mass, and non-uniform, two part beams. However, one should remember that the concept of rigidity is an idealization and a theoretical assumption which will not be valid at higher frequencies any more. Therefore, in order to establish a more realistic model for such a system, the intermediate mass must be considered a highly stiff portion of the entire system instead of assuming it ideally rigid.
URI: https://doi.org/10.1006/jsvi.2001.3702
http://hdl.handle.net/11452/21435
ISSN: 0022-460X
https://www.sciencedirect.com/science/article/pii/S0022460X01937022
Koleksiyonlarda Görünür:Scopus
Web of Science

Bu öğenin dosyaları:
Bu öğeyle ilişkili dosya bulunmamaktadır.


DSpace'deki bütün öğeler, aksi belirtilmedikçe, tüm hakları saklı tutulmak şartıyla telif hakkı ile korunmaktadır.