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M. A. Ilgamov, A. G. Khakimov

Reflection of longitudinal travelling wave from notch in rod

language: Russian

received 01.10.2008, published 14.10.2008

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Longitudinal wave travelling along an infinite rod and reflection of this wave from a cross notch is studied. The relationship between the reflected wave and parameters of the notch is obtained. The solution of the inverse problem enables to find the coordinate and depth/length parameter of the notch using information about incident and reflected waves at the observation point.

Key words: infinite rod, notch, longitudinal travelling wave, incident wave, reflected wave, diagnostics.

8 pages, 7 figures

Сitation: M. A. Ilgamov, A. G. Khakimov. Reflection of longitudinal travelling wave from notch in rod. Electronic Journal “Technical Acoustics”,, 2008, 16.


1. Ваньков Ю. В., Казаков Р. Б., Яковлева Э. Р. Собственные частоты изделия как информативный признак наличия дефектов. Электронный журнал «Техническая акустика»,, 2003, 5.
2. Ватульян А. О. Обратные задачи в механике деформируемого твердого тела. М.: Физматлит, 2007, 224 с.
3. Ватульян А. О., Соловьев А. Н. О реконструкции плоских трещин в анизотропном упругом теле // ПММ, 2005, №3, c. 552–561.
4. Ватульян А. О., Соловьев А. Н. Обратные задачи теории трещин в твердых телах // Изв. Вузов Сев.-Кавк. Рег.: Спецвыпуск «Математика и механика сплошной среды», 2004, c. 74–80.
5. Ватульян А. О., Солуянов Н. О. Об определении местоположения и размера полости в упругом стержне //Дефектоскопия, 2005, №9, c. 44–56.
6. Ильгамов М. А. Диагностика повреждений вертикальной штанги. Труды института механики УНЦ РАН, Уфа: «Гилем», 2007, вып. 5, c. 201–211.


Marat Ilgamov - head of laboratory of solid body mechanics at Institute of Mechanics, Ufa Research Centre, Russian Academy of Sciences, Corresponding Member of Russian Academy of Sciences, Professor, Dr. Sci. (Physics & Mathematics).
Research interests: mechanics of hydroelastic systems, including shell dynamics and stability interacting with continuum and friable media, biomechanics. He has developed the theory of strong interaction of thin-wall constructions filled with fluid and gas when wall displacements are significant. Author of more than 10 monographs.


Akim Khakimov - leading researcher at Laboratiory of Solid Body Mechanics (Institute of Mechanics, Ufa Research Centre, Russian Academy of Sciences), PhD (Physics & Mathematics).
Research interests: interaction dynamics of elastic and elastoplastic bodies with medium, flexible and soft shells, flexible spatial rods. Biomechanics.

e-mail: hakimov(at)