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A longitudinally resonant stub for vibrations of large amplitude
Affiliation:1. School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, PR China;2. Department of Automatic Control, Robotics and Fluid Technique, Faculty of Mechanical and Civil Engineering, University of Kragujevac, Kraljevo 36000, Serbia;1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. College of Electrical Engineering, Southwest Minzu University, Chengdu 610041, PR China;3. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China;4. School of Information Science and Engineering, Chengdu University, Chengdu 610106, PR China
Abstract:A new method of designing acoustic vibrators is described. The required vibrational characteristics are used to construct a wave function and the shape that gives those characteristics is then derived by simple integration.It is shown that a simple criterion exists to describe the ability of a vibrator to give large particle velocity. The new method is used to design a class of longitudinal vibrators capable of exceptionally large particle velocity. The resulting vibrators have a uniformly stressed section of Gaussian profile, terminated at each end to satisfy the boundary conditions and to allow independent choice of magnification and of maximum permissible particle velocity. This velocity is in principle unlimited with Gaussian vibrators and even with practical limitations an amplitude of 1.0 mm at 20 kc/s should be attainable with vibrators made of titanium alloy.
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