Nonlinear component of free vibration frequency of a partially tensioned system with consideration of rotational stiffness of support

Sebastian Uzny, Michał Osadnik
2019 Journal of Applied Mathematics and Computational Mechanics  
The nonlinear vibrations of a slender system subjected to Euler's load which is partially tensioned is discussed in this paper. The longitudinal displacement and rotation on both of the system ends are limited by the discrete elements in the form of translational and rotational springs. The results of numerical simulations concern the first vibration frequency (linear and non-linear components) in relation to the location and magnitude of external load application and different rotational
more » ... stiffness. This nonlinear system is based on the screw drive used in the newly designed vertical platform lifts. MSC 2010: 74H45, 65L10
doi:10.17512/jamcm.2019.3.08 fatcat:jib7qwthmvd6fcfcnbrrmbhdyu