Anomalous dependence of the vibration frequencies of a rod in an elastic medium on the rod length

2010 ◽  
Vol 45 (2) ◽  
pp. 257-263 ◽  
Author(s):  
L. D. Akulenko ◽  
S. V. Nesterov
Author(s):  
A.H. Movsumova

Vibrations of an orthotropic cylindrical panel, non-uniform in thickness, supported by longitudinal ribs, lying on a linearly viscoelastic foundation, were investigated. The Hamilton – Ostrogradsky variational principle was used to find the vibration frequencies of the panel. A frequency equation is constructed, its roots are found, and the influence of physical and geometric parameters characterizing the system is studied.


2001 ◽  
Vol 711 ◽  
Author(s):  
Octavio Gomez-Martinez ◽  
Daniel H. Aguilar ◽  
Patricia Quintana ◽  
Juan J. Alvarado-Gil ◽  
Dalila Aldana ◽  
...  

ABSTRACTFourier Transform infrared spectroscopy has been employed to study the shells of two kind of mollusks, American oysters (Crassostrea virginica) and mussels (Ischadium recurvum). It is shown that it is possible to distinguish the different calcium carbonate lattice vibrations in each case, mussel shells present aragonite vibration frequencies, and the oyster shells present those corresponding to calcite. The superposition, shift and broadening of the infrared bands are discussed. Changes in the vibration modes due to successive thermal treatments are also reported.


ACS Nano ◽  
2021 ◽  
Vol 15 (1) ◽  
pp. 1833-1840
Author(s):  
Kuai Yu ◽  
Yang Yang ◽  
Junzhong Wang ◽  
Gregory V. Hartland ◽  
Guo Ping Wang

Author(s):  
Kang-Jia Wang ◽  
Guo-Dong Wang

This article mainly studies the vibration of the carbon nanotubes embedded in elastic medium. A new novel method called the Hamiltonian-based method is applied to determine the frequency property of the nonlinear vibration. Finally, the effectiveness and reliability of the proposed method is verified through the numerical results. The obtained results in this work are expected to be helpful for the study of the nonlinear vibration.


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