Free vibration analysis of metal foam core sandwich beams on elastic foundation using Chebyshev collocation method

YQ Wang, HL Zhao - Archive of Applied Mechanics, 2019 - Springer
In this paper, free vibration of a metal foam core sandwich (MFCS) beam embedded in
Winkler–Pasternak elastic foundation is studied using the Chebyshev collocation method …

[HTML][HTML] Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation

PK Masjedi, A Maheri, PM Weaver - Applied Mathematical Modelling, 2019 - Elsevier
Porous graded materials found in nature can be regarded as variable stiffness optimised
load carrier elements that exhibit beneficial properties for real-life engineering designs. In …

Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method

PK Masjedi, PM Weaver - Applied Mathematical Modelling, 2022 - Elsevier
Beam-like compliant elements have found wide-ranging application in many fields of
engineering and science often where 3D large deflections can be of concern such as soft …

Solving cosserat rod models via collocation and the magnus expansion

AL Orekhov, N Simaan - 2020 IEEE/RSJ International …, 2020 - ieeexplore.ieee.org
Choosing a kinematic model for a continuum robot typically involves making a tradeoff
between accuracy and computational complexity. One common modeling approach is to use …

[HTML][HTML] Variable stiffness composite beams subject to non-uniformly distributed loads: An analytical solution

PK Masjedi, PM Weaver - Composite Structures, 2021 - Elsevier
An analytical solution is obtained for the 3D static deflection of variable stiffness composite
beams subject to non-uniformly distributed loads. Governing differential equations with …

Static deflection of fully coupled composite Timoshenko beams: An exact analytical solution

O Doeva, PK Masjedi, PM Weaver - European Journal of Mechanics-A …, 2020 - Elsevier
The purpose of this paper is to present the exact analytical solution for the static deflection
analysis of fully coupled composite Timoshenko beams. The system of governing equations …

[HTML][HTML] Stress analysis of generally asymmetric non-prismatic beams subject to arbitrary loads

MMS Vilar, DA Hadjiloizi, PK Masjedi… - European Journal of …, 2021 - Elsevier
Non-prismatic beams are widely employed in several engineering fields, eg, wind turbines,
rotor blades, aircraft wings, and arched bridges. While analytical solutions for variable cross …

[HTML][HTML] Closed form solutions for an anisotropic composite beam on a two-parameter elastic foundation

O Doeva, PK Masjedi, PM Weaver - European Journal of Mechanics-A …, 2021 - Elsevier
Beams resting on elastic foundations are widely used in engineering design such as
railroad tracks, pipelines, bridge decks, and automobile frames. Laminated composite …

Exact analytical solution for static deflection of Timoshenko composite beams on two-parameter elastic foundations

O Doeva, PK Masjedi, PM Weaver - Thin-Walled Structures, 2022 - Elsevier
New exact analytical solutions are presented for the static deflection of coupled Timoshenko
composite beams resting on two-parameter elastic foundations subject to arbitrary boundary …

Large deflection analysis of planar curved beams made of functionally graded materials using variational iterational method

U Eroglu - Composite Structures, 2016 - Elsevier
In this paper, arbitrarily large in-plane deflections of planar curved beams made of
Functionally Graded Materials (FGM) are examined. Geometrically exact beam theory is …