Abstract:
:The natural frequencies and distributions of displacement components for the surface vibrational modes in thin isotropic elastic disks are calculated. In particular, the research is focused on even solutions for low-lying resonant vibrations with large angular wave numbers. Several families of modes are found which are interpreted as modified surface modes of an infinitely long cylinder and Lamb modes of a plate. The results of calculation are compared with the results of the experimental measurements of vibrational modes generated by means of resonant excitation in duraluminum disk with radius of ≈90 mm and thickness of 16 mm in the frequency range of 130-200 kHz. An excellent agreement between the calculated and measured frequencies is found. Measurements of the structure of the resonant peaks show splitting of some modes. About a half of the measured modes has splitting Δfsplit/fmode at the level of the order of 10(-5). The Q-factors of all modes measured in vacuum lie in the interval (2…3)×10(5). This value is typical for duraluminum mechanical resonators in the ultrasonic frequency range.
journal_name
Ultrasonicsjournal_title
Ultrasonicsauthors
Dmitriev AV,Gritsenko DS,Mitrofanov VPdoi
10.1016/j.ultras.2013.11.002subject
Has Abstractpub_date
2014-03-01 00:00:00pages
905-13issue
3eissn
0041-624Xissn
1874-9968pii
S0041-624X(13)00326-0journal_volume
54pub_type
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