A hybrid algorithm for solving inverse boundary problems with respect to intermediate masses on a beam
Бөренедегi аралық массаларға қатысты шекаралық керi есептердi шешуге гибридтi алгоритм туралы
Об одном гибридном алгоритме решения обратных граничных задач относительно промежуточных масс на балке
Aniyarov A.A. Jumabayev S.A. Nurakhmetov D.B. Kussainov R.K.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#104Issue 44 - 13 pp.
The inverse problem of determining the weight of three intermediate masses on a uniform beam from the known three natural frequencies has been solved. The performed numerical analysis allows restoring the value of only the second mass in a unique way. The inverse problem of determining the weight of three intermediate masses has been solved uniquely except in the case when the first and the third masses are located geometrically symmetric relative to the middle of the beam. The hybrid algorithm for the unique solving inverse problem of determining the weight of three intermediate masses has been developed. The first three natural frequencies of the beam are calculated numerically by using the Maple computer package. Analytical relations between the masses are found.
beam equation , characteristic determinant , intermediate elements , inverse problem , natural frequencies
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Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
Institute of Management, Academy of Public Administration under the President of the Republic of Kazakhstan, Nur-Sultan, Kazakhstan
Shakarim University of Semey, Semey, Kazakhstan
Institute of Mathematics and Mathematical Modelling
Institute of Management
Shakarim University of Semey
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026