|
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 137–147
(Mi pmtf1353)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
One method of determining the elastic properties of inhomogeneous solids
A. O. Vatulyana, O. V. Bocharovab a Southern Federal University, Rostov-on-Don, 344090, Russia
b Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006, Russia
Abstract:
This paper considers the inverse problem of reconstructing three inhomogeneous characteristics of a rod (Young’s modulus, shear modulus, and density) from amplitude-frequency characteristics for the regime of steady-state longitudinal, flexural, and torsional vibrations. The unknown characteristics are identified by constructing iterative processes based on the apparatus of the Fredholm integral equations of the first and the second kind. Results of numerical experiments are presented.
Keywords:
inhomogeneous elastic rod, elastic moduli, ill-posed problem, Fredholm equations.
Received: 11.03.2011
Citation:
A. O. Vatulyan, O. V. Bocharova, “One method of determining the elastic properties of inhomogeneous solids”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 137–147; J. Appl. Mech. Tech. Phys., 53:2 (2012), 266–274
Linking options:
https://www.mathnet.ru/eng/pmtf1353 https://www.mathnet.ru/eng/pmtf/v53/i2/p137
|
Statistics & downloads: |
Abstract page: | 19 | Full-text PDF : | 9 |
|