title: Surface vibrational modes in disk-shaped resonators.
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.
authors.affiliation: Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia. Electronic address: dmitriev@hbar.phys.msu.ru.
authors.forename: A V
authors.initials: AV
authors.lastname: Dmitriev
authors.affiliation: Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia.
authors.forename: D S
authors.initials: DS
authors.lastname: Gritsenko
authors.affiliation: Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia. Electronic address: mitr@hbar.phys.msu.ru.
authors.forename: V P
authors.initials: VP
authors.lastname: Mitrofanov
mesh_terms: D000535:Aluminum / Q000737:chemistry*; D003198:Computer Simulation; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008422:Materials Testing / Q000379:methods*; D055617:Micro-Electrical-Mechanical Systems / Q000295:instrumentation*; D008956:Models, Chemical; D012542:Scattering, Radiation; D014732:Vibration
chemical_list: D000535:Aluminum
keywords: Electrostatic excitation; SAW resonators; Thin disks; Whispering gallery modes