On random elastic constraint conditions of Levinson beam model considering the violation of Saint-Venant’s principle in dynamic
School of Energy and Power Engineering, Northeast Electric Power University, Jilin, 132012, People’s Republic of China
Accepted: 9 December 2019
Published online: 28 January 2020
In this paper, Saint-Venant’s principal has been introduced into energy decay inequality to compute parameters and prestress for eigenanalysis, under the assumption that the transverse force is equal to the reaction of elastic constraints. In addition, the main tasks that are accomplished in the article are proposed as novel approach dynamic stiffness method, to analyze free vibration of 1D cantilever structures, with random boundaries. The numerical simulation showed that the proposed process gives high degree of accuracy in the calculation of natural frequencies for 1D beams with arbitrary boundary conditions as soon as the structural model was established. Moreover, the proposed model is particularly useful when analyzing 1D structures with random boundary conditions since it matches encouragingly well with the corresponding MCS results.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020