Analysis of Direct and Inverse Problems on Transverse Vibrations of a Supported Shaft


          

刊名：Russian Journal of Nondestructive Testing
作者：G. F. Safina（Bashkir State University, Neftekamsk Branch）
刊号：713LB011
ISSN：1061-8309
出版年：2010
年卷期：2010, vol.46, no.4
页码：302-313
总页数：12
分类号：TH172; TB
关键词：Natural frequencies；Transverse vibrations；Supported shaft；Loaded shaft；Diagnostics；Frequency spectrum；Frequency spectrum maintenance
参考中译：
语种：eng
文摘：This study is devoted to direct and inverse spectral problems on transverse vibrations of a loaded multisupport shaft. The influence of the characteristics of a loaded multisupport shaft on the spectrum of its vibration frequencies is studied by solving the direct problem. It is established that an increase in the weights of loads and in the distance between the outermost supports reduces the natural vibration frequencies of a shaft. Examples, tables, and plots of appropriate dependences are given. The inverse problem of determining the weights of loads from the vibration frequency spectrum of a three- and four-support shaft is posed and solved for the first time. Analytical formulas for calculating the weights of loads are derived. The question of maintaining a specified safe range of the vibration frequencies of a loaded multisupport shaft is studied by solving the inverse problem. It is shown that an increase in the weight of one of the loads requires those of the other loads to be appropriately reduced in order to retain the vibration frequencies of a three-support shaft within a specified range. Examples are given.



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