Investigations of complex vibrations of beams within the framework of the Sheremet’ev-Pelekh kinematic model using the wavelet transform

Autor:	Vadim A. Krysko, V. V. Soldatov, O. A. Saltykova, M. V. Zhigalov
Rok vydání:	2010
Předmět:	Vibration Wavelet Basis (linear algebra) Differential equation Variational principle Mechanical Engineering Mathematical analysis Wavelet transform Cascade algorithm Kinematics Safety Risk Reliability and Quality Industrial and Manufacturing Engineering Mathematics
Zdroj:	Journal of Machinery Manufacture and Reliability. 39:313-317
ISSN:	1934-9394 1052-6188
DOI:	10.3103/s1052618810040023
Popis:	A model of the Sheremet’ev-Pelekh geometrically nonlinear beam is constructed with the help of the variational principle based on the method of hypotheses. The solutions to the derived sets of differential equations are analyzed on the basis of the qualitative theory of differential equations using wavelet analysis. A substantial difference in the nature of vibrations obtained using the Sheremet’ev-Pelekh kinematic model from the results of the Bernoulli-Euler and S.P. Timoshenko models is revealed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5b98a21edf56631446f9a4a0042a31b8 https://doi.org/10.3103/s1052618810040023 Zobrazit plný text záznamu Full text from SpringerLink