Applied Mathematics & Information Sciences
Abstract
The results of numerical studies on linear and non-linear transverse vibrations control of a two member column subjected to Euler’s load by means of piezoceramic elements have been presented in this paper. The investigated column is composed of two members. The external member is a single rod and the internal one consists of two rods (one of them is a made of piezoceramic material). The connection of elements of the internal member has been modeled by means of a rotational spring of stiffness C. The boundary problem has been formulated on the basis of Hamiltons principle. The perturbation method was used in the solution process due to non-linearity of the column. An influence of the prestressing force generated by the piezoceramic element on natural vibration frequencies, maximum loading and amplitude - vibration frequency relationship have been presented in this paper. The length of the piezoceramic element and stiffness of the rotational spring C on investigated parameters were also taken into account.
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/100629
Recommended Citation
Sokol, Krzysztof; Uzny, Sebastian; and Uzny, Sebastian
(2016)
"Vibrations And Instability Control Of A Slender System By Means Of Piezoceramic Elements,"
Applied Mathematics & Information Sciences: Vol. 10:
Iss.
6, Article 29.
DOI: http://dx.doi.org/10.18576/amis/100629
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/29