VIBRATOR MODEL FOR DESIGN OF VIBRATION MACHINES

S. G. Nekrasov
South Ural State University, Chelyabinsk

S. V. Perminov
Medpribor, JSC, Chelyabinsk


Abstract


One of the directions of development of mechanical engineering is the design and produc-tion of vibratory machines for compacting bulk media, ranging from low-frequency road vibra-tory rollers and vibratory plates for road ramming and asphalt paving and ending with foundries and high-frequency compactors for creating new materials. An actual problem in the design of this type of vibrating machine is the choice of vibration parameters of the working tool, the val-ues of which should depend on the parameters of the material being processed, and, as a conse-quence, the choice of a device that meets these requirements. There are no universal devices on the market, however it is possible to create a universal model and design suitable for designing vibratory machines for various purposes.
The paper considers a model of a universal vibrator, the operating principle of which is based on bending transverse vibrations of plates. Unlike half-wave rod-type transducers, this de-sign, with the same overall dimensions and power consumption, has a large dynamic range of oscillations of the working tool in a wide frequency range, the shape of the working surface of which can be set arbitrarily. The design and structure can be changed within the basic set of ele-ments by choosing, for example, the zero values of the corresponding parameters.
A distributed model is obtained based on the equations of mathematical physics, which is reduced to an integral form by determining the impulse response (Green's function) of a round plate and then the entire sensor. A parametric study is carried out, the possibility of changing the frequency response of the vibrator is shown. The developed mathematical model is applicable for both low-frequency and high-frequency applications, since it is linear and performed using dimensionless complexes of the similarity theory. The model considers the elastic hysteresis of structural elements, thereby providing reliable values of the amplitude of the resonant vibrations of the working tool. The validation of the model has shown a high accuracy in determining the resonant frequencies.

Keywords


vibrator; material compaction; design; mathematical model; structure; natural frequency; elastic hysteresis; amplitude.

References


Nanotechnology Research Directions:Vision for Nanotechnology in the Next Decade/ Edit-ed by M.С. Roco, R.S. Williams, P. Alivisatos. – London: Kluwer Academic Publishers, 2002. – 292 p.

Полисадова, В.В. Ультразвуковое и коллекторное компактирование. Лекции. – Томский политехнический университет, 2009. – 44 с.

Коробов, А.И. Особенности распространения упругих волн в 3-d гранулированной не-консолидированной среде / А.И. Коробов, Н.В. Ширгина, А.И. Кокшайский // Труды школы-семинара «Волны–2012» (секция 8). – M.: МГУ. – 2012. – С. 41–44.

Sferruzza, J.P. Generation of Very High Pressure Pulses at the Surface of a Sandwiched Piezoelectric Material/ J. P. Sferruzza, A. Birer, D. Calhignol // Ultrasonics. – 2000. – № 38. – P. 965–968.

Dubus, B. Characterization of Multilayered Piezoelectric Ceramics for High Power Trans-ducers/ B. Dubus, G. Haw, C. Granger, O. Leclez // Ultrasonics. – 2002. – № 40. – P. 903–906.

Shuyu, L. Load Characteristics of High Power Sandwich Piezoelectric Ultrasonic Trans-ducers / L. Shuyu // Ultrasonics. – 2005. – № 43. – P. 365–373.

Chang, K.-T. Improving the Transient Response of a Boltclamped Langevin Transducer Using a Parallel Resistor / K.-T. Chang // Ultrasonics. – 2003. – № 41. – P. 427–436.

Saitoh, S.A Dual Frequency Ultrasonic Probe for Medical Application / S. Saitoh, M. Izu-mi, Y.A. Mine // IEEE Trans. Ultrason. Ferroelec. Freq. Cont. – 1995. – Vol. 42. – № 2. – P. 294–300.

Chang, J.H. Frequency Compounded Imaging with a High-Frequency Dual Element Transducer / J.H. Chang, H.H. Kim, J. Lee, K.K. Sluing // Ultrasonics. – 2010. – № 50. – P. 453–457.

Казаков, В.В. Исследование характеристик двухэлементных ультразвуковых пре-образователей в режиме излучения длинных импульсов/ В. В. Казаков, А. Г. Санин // Аку-стический журнал. – Т. 63. – № 1. – 2017. – С. 104–113.

Эскин, Г.И. Ультразвуковая обработка расплавленного алюминия / Г.И. Эскин – М.: Металлургия, 1965. – 224 с.

Биушкин, В.А. Способ настройки газовой виброопоры с пьезокерамическим вибра-тором / В.А. Биушкин, С.Г. Некрасов // А.C. №830034 от 15.05.1981.

Ультразвуковые преобразователи / Е. Кикучи. – М.: Мир, 1972. – 424 с.

Огибалов, Л.М. Оболочки и пластины / Л.М. Огибалов, М.А. Колтунов. – М.: МГУ, 1969.–695 с.

Wang, C.M. Shear Deformable Beams and Plates: Relationships with Classical Solutions / C.M. Wang, K.H. Reddy, J.Lee. – Boston: Elsevier Science, 2000. – 372 p.

Бутковский, А .Г. Структурная теория распределенных систем / А.Г. Бутковский. – М.: Наука, 1977. – 348 с.

Сорокин, Е.С. К вопросу неупругого сопротивления строительных материалов при колебаниях / Е.С. Сорокин – М.: Гос. изд. лит. по строит, и арх., 1954. – 73 с.

Писаренко, Г.С. Обобщенная нелинейная модель учета рассеяния энергии при колебаниях / Г.С. Писаренко. – Киев: Наукова думка, 1975. – 240 с.

Colombeau, J.F. Nonlinear Generalized Functions: their origin, some developments and recent advances /J.F. Colombeau // Sao Paulo Journal of Mathematical Sciences. − 2013. – Vol. 7. – № 2. – P. 201–239.

Жигалко, Ю.П. Пологие сферические оболочки под действием сосредоточенных сил / Ю.П. Жигалко // Исслед. по теор. пластин и оболочек: Сб. трудов Казанского ун-та. – 1976. – № 12. – С. 58–67


Refbacks

  • There are currently no refbacks.