Computerized design of ultrasonic waveguide radiators is carried out using software developed at Industrial Sonomechanics, LLC. Design and calculation of the resonance frequencies of the radiators is performed directly using equations that describe acoustic vibrations of resonant rods, disks and enclosures. Initial conditions of these calculations generally include the resonance frequency and the properties of the material from which the waveguide is made. A well known method of calculating resonance frequencies by way of finite element analysis is not used in this case. Our method is analytical, and provides opportunity to design optimal waveguide-radiators, while calculating their resonance dimensions at any given frequency of ultrasonic vibrations. This significantly accelerates the design process and provides possibilities for creating completely novel ultrasonic radiating systems of high complexity. Our computerized design software is based of mathematical expressions, described in our manuscript (S. L. Peshkovsky, A. S. Peshkovsky “Matching a Transducer to Water at Cavitation: Acoustic Horn Design Principles”, Ultrasonics:Sonochemistry, 2007, 14: (3), 314-322). In a general case, a rod horn is considered as a combination of several elements of fixed or variable cross-sections, positioned in an arbitrary order and rigidly interconnected. Solutions obtained for each section are spliced together using appropriate boundary conditions. Besides calculating resonance dimensions of rod-horns, the program outputs distributions of vibration and deformations amplitudes along the radiator’s length. For convenience, the program has several tabs that group together waveguide-radiators of similar types, as shown in the figure below.

FIGURE 1

The program also permits calculating parameters of waveguide-radiators matched to water at cavitation. This procedure is conducted as described in our manuscript (S. L. Peshkovsky, A. S. Peshkovsky “Matching a Transducer to Water at Cavitation: Acoustic Horn Design Principles”, Ultrasonics:Sonochemistry, 2007, 14: (3), 314-322). Figures provided on the next page provide examples of parameter calculations for the most common waveguide-radiator types.