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 …

Semi-analytical modeling and vibration analysis for U-shaped, Z-shaped and regular spatial pipelines supported by multiple clamps

Y Zhang, W Sun, H Ma, W Ji, H Ma - European Journal of Mechanics-A …, 2023 - Elsevier
In the current research on semi-analytical modeling of the pipeline systems, most objects
targeted are simple straight pipelines. Here, a novel and universal semi-analytical modeling …

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 …

Free vibration analysis of thin to thick straight or curved beams by a solid-3D beam finite element method

G Wei, P Lardeur, F Druesne - Thin-Walled Structures, 2023 - Elsevier
A solid-3D beam finite element method is presented for the vibration analysis of thin to thick
beam-like structures. This method is efficient for a spatial beam and considers all …

An adaptive neuro fuzzy inference system model for studying free in plane and out of plane vibration behavior of curved beams

N Mohanty, UK Mishra, SK Sahu - Structures, 2023 - Elsevier
The current study examines the free vibration behavior of curved beams in detail. Basic,
lightweight curved beams are used in many different engineering projects. Therefore, it is …

A unified variational method for vibration of functionally graded porous beams with variable curvature under arbitrary boundary condition

Q Zhang, R Zhang, J Su, Y Jiang - Engineering Structures, 2023 - Elsevier
Curved beams with variable curvature can be encountered in many engineering cases, but
continuous and complex changes of the radius and center can lead to challenges for …

The in-plane mechanics of a family of curved 2D lattices

S Mukherjee, S Adhikari - Composite Structures, 2022 - Elsevier
We propose an analytical framework to understand the mechanics and quantify the essential
elastic properties of two-dimensional hexagonal lattices with curved elements. Generalised …

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 …

平面曲梁面内自由振动有限元分析的p 型超收敛算法.

叶康生, 殷振炜 - Engineering Mechanics/Gongcheng Lixue, 2019 - search.ebscohost.com
该文提出一种求解平面曲梁面内自由振动问题的p 型超收敛算法. 该法基于有限元解答中频率和
振型结点位移的固有超收敛特性, 在单个单元上建立了振型近似满足的线性常微分方程边值问题 …