Results 61 to 70 of about 1,214 (181)

FE2 Method to Model Rod‐ and Beam‐Like Atomic Based Nanostructures

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The mechanical behaviour of rod‐ and beam‐like atomistic nanostructures is analysed using the FE2${\rm FE}^2$ method. At the macroscopic scale, the system is described by a two‐dimensional Timoshenko beam model. On the microscopic level, molecular mechanics is used.
Julian Ochs, Jens Wackerfuß
wiley   +1 more source

Free vibration analysis of angle-ply laminate composite beams by mixed finite element formulation using the Gâteaux differential

Science and Engineering of Composite Materials, 2014
Free vibration analyses of angle-ply laminated composite beams were investigated by the Gâteaux differential method in the present paper. With the use of the Gâteaux differential method, the functionals were obtained and the natural frequencies of the ...
Ozutok Atilla, Madenci Emrah, Kadioglu Fethi   +2 more
doaj   +1 more source

An Efficient Geometrically‐Exact Nonlinear Shell Formulation Based on Rodrigues Parameters

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Thin‐walled structures are part of many engineering applications, as wind turbine blades, pressure vessels, and sheet metal products. A thin‐walled structure is characterized by one significantly smaller dimension compared to the others.
Cinthia A. G. Sousa, Maximilian Vorwerk, Paulo M. Pimenta, Jörg Schröder   +3 more
wiley   +1 more source

Torsional Vibration Analysis of Double‐Walled Carbon Nanotubes Incorporating Viscoelasticity and Nonlocal Elasticity Under Deformable Boundary Conditions

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 6, June 2026.
ABSTRACT This study investigates the torsional vibration characteristics of double‐walled carbon nanotubes (DWCNTs) considering viscoelastic effects and nonlocal elasticity theory. The equations of motion are formulated based on the nonlocal constitutive relations and viscoelastic material behavior to accurately capture the small‐scale and time ...
Murat Akpınar, Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı   +2 more
wiley   +1 more source

Machining Simulation of Recrystallized SiC: Failure Mechanisms, Numerical Influences, Tool Dynamics, and Friction Behavior

Journal of the American Ceramic Society, Volume 109, Issue 6, June 2026.
ABSTRACT This paper presents a comprehensive study on the machining simulation of recrystallized silicon carbide (R‐SiC), with a focus on material failure mechanisms, numerical influences, tool kinematics, and frictional behavior. A representative volume of interest was derived from CT data, and a meshing algorithm for CT‐based structures was ...
Simon Unseld, Stefan Kleiner, Achim Rösiger, Ralf Goller, Dietmar Koch   +4 more
wiley   +1 more source

A Timoshenko beam theory with pressure corrections for layered orthotropic beams

International Journal of Solids and Structures, 2011
AbstractA Timoshenko beam theory for layered orthotropic beams is presented. The theory consists of a novel combination of three key components: average displacement and rotation variables that provide the kinematic description of the beam, stress and strain moments used to represent the average stress and strain state in the beam, and the use of exact
Kennedy, Graeme J., Hansen, Jorn S., Martins, Joaquim R.R.A.   +2 more
openaire   +1 more source

The Fractal Timoshenko Beam Equation

Fractal and Fractional
A fractal approach for the Timoshenko beam theory by applying differential vector calculus in a three-dimensional continuum with a fractal metric is developed.
Helvio Mollinedo, Ernesto Pineda León, David De-León, Andriy Kryvko, Israel Miguel-Andrés, Didier Samayoa, Lucero Damián-Adame   +6 more
doaj   +1 more source

Dynamic Finite Element Model Based on Timoshenko Beam Theory for Simulating High-Speed Nonlinear Helical Springs. [PDF]

Sensors (Basel), 2023
Zhao J, Gu Z, Yang Q, Shao J, Hou X.
europepmc   +1 more source

Mode Shape Analysis of Multiple Cracked Functionally Graded Timoshenko Beams

Latin American Journal of Solids and Structures
The present paper addresses free vibration of multiple cracked Timoshenko beams made of Functionally Graded Material (FGM). Cracks are modeled by rotational spring of stiffness calculated from the crack depth and material properties vary according to the
Tran Van Lien, Ngo Trong Đuc, Nguyen Tien Khiem   +2 more
doaj   +1 more source

Dynamic Response of a Double-Beam System Subjected to a Harmonic Moving Load

Applied Sciences
The dynamic behavior of a double-beam configuration subjected to a harmonic moving load was studied in this paper. The model was built to represent the wheel–track system that was composed of two infinite Timoshenko beams joined by uniformly spaced ...
Mingfei Lu, Xuenan Wang, Hui Li
doaj   +1 more source