Premium
Stability of the rotating compressed nano‐rod
Author(s) -
Atanackovic T.M.,
Zorica D.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200277
Subject(s) - nano , stability (learning theory) , mechanics , materials science , euler's formula , angular velocity , classical mechanics , mathematics , mathematical analysis , physics , composite material , computer science , machine learning
We study stability of a rotating compressed nano‐rod clamped at one and free at the other end. By using the Euler method of adjacent equilibrium configuration, we determine critical values for angular speed and compressive force. Post‐critical shape of the rod is obtained by solving the non‐linear system of equilibrium equations for several values of parameters.