Free in-plane vibration of curved beam structures: a tutorial and the state of the art

F Yang, R Sedaghati… - Journal of Vibration and …, 2018 - journals.sagepub.com
The study of free in-plane vibration of curved beams, using different beam theories, is more
challenging than that of straight beams, since the structural deformations in curved beams …

Implementation of Timoshenko curved beam into train-track-bridge dynamics modelling

Z Zhai, C Cai, S Zhu - International Journal of Mechanical Sciences, 2023 - Elsevier
Curved bridge has been widely applied in railway lines due to its strong terrain adaptability,
a more refined model that could capture curved bridge vibrations in the train-track-bridge …

[HTML][HTML] Multiscale analysis of carbon nanotube-reinforced curved beams: a finite element approach coupled with multilayer perceptron neural network

H Mottaghi, AR Masoodi, AH Gandomi - Results in Engineering, 2024 - Elsevier
This paper presents a comprehensive investigation into the structural response of curved
composite beams enhanced with carbon nanotube (CNT). Employing a multiscale …

Free in-plane vibration of general curved beams using finite element method

F Yang, R Sedaghati, E Esmailzadeh - Journal of sound and vibration, 2008 - Elsevier
The governing differential equations for the free in-plane vibration of uniform and non-
uniform curved beams with variable curvatures, including the effects of the axis extensibility …

Formulation of curved beam vibrations and its extended application to train-track spatial interactions

J Luo, S Zhu, W Zhai - Mechanical Systems and Signal Processing, 2022 - Elsevier
This paper presents a semi-analytical solution to free and forced vibrations of a pinned–
pinned Euler-Bernoulli curved beam, and extends it into train-track spatial interactions. The …

A new higher order shear and normal deformation theory for the free vibration analysis of sandwich curved beams

AS Sayyad, PV Avhad - Composite Structures, 2022 - Elsevier
The free vibration analysis of functionally graded sandwich beams curved in elevation is
presented in this paper using a fifth-order curved beam theory accounting for the effects of …

Free in-plane vibration analysis of curved beams by the generalized/extended finite element method

RM Corrêa, M Arndt, RD Machado - European Journal of Mechanics-A …, 2021 - Elsevier
Arches and curved beams are solved here by the G/XFEM in the context of free vibration
problems. This hierarchical enrichment method has been used in many complex …

From static buckling to nonlinear dynamics of circular rings

E Babilio, I Mascolo, F Guarracino - Frontiers in Applied Mathematics …, 2023 - frontiersin.org
The dynamic buckling of circular rings is a pervasive instability problem with a major impact
in various fields, such as structural, nuclear and offshore engineering, robotics …

Nonlinear vibrations of a coupled beam-arch bridge system

V Stojanović, MD Petković, D Milić - Journal of Sound and Vibration, 2020 - Elsevier
A characteristic engineering example of the model presented in this paper, which consists of
a viscoelastically and nonlinearly coupled beam-arch system, can be found in the physical …

Determination of free vibration properties of masonry arch bridges using the dynamic stiffness method

B Bozyigit, S Acikgoz - Engineering Structures, 2022 - Elsevier
Masonry arch bridges constitute over half of the European bridge stock. The dynamic
response of these bridges to traffic loads is influenced by their free vibration properties, ie …