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Method of the coordinate system transformation in the stability analysis of a sandwich trapezoidal panel

Radosław Mania
Archive of Mechanical Engineering | 2003 | vol. 50 | No 2 | 147-166
Keywords buckling analysis sandwich panels FEM
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Abstract

The paper presents the stability analysis of a sandwich plate of the shape of an isosceles trapezoid, subjected to unidirectional in-plane compression. The critical load value of the trapezoidal sandwich plate was obtained by a combination of the Galerkin orthogonalisation method and the proposed method of the coordinate system transformation. An influence of plate material and geometrical properties on the critical load level was analysed. The obtained results were verified in a numerical experiment conducted with the FEM ANSYS software package.
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Authors and Affiliations

Radosław Mania

Vibration and stability analyses of functionally graded beams

Burak Kılıç Özge Özdemir
Archive of Mechanical Engineering | 2021 | vol. 68 | No 1 | 93-113 | DOI: 10.24425/ame.2021.137043
Keywords axially functionally graded material vibration analysis buckling analysis finite element method
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Abstract

Design considerations, material properties and dynamic properties of engineering applications, rotating components, turbine blades, helicopter blades, etc., have significant effects on system efficiency. Structures made of functionally graded materials have recently begun to take place in such engineering applications, resulting from the development of composite material technology. In this study, vibration and buckling characteristics of axially functionally graded beams whose material properties change along the beam length is analyzed. Beam structural formulations and functionally graded material formulations are obtained for the Classical and the First Order Shear Deformation Theories. Finite element models are derived to carry out the vibratory and stability characteristic analyses. Effects of several parameters, i.e., rotational speed, hub radius, material properties, power law index parameter and boundary conditions are investigated and are displayed in several figures and tables. The calculated results are compared with the ones in open literature and very good agreement is observed.
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Bibliography

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[2] B.V. Sankar. An elasticity solution for functionally graded beams. Composites Science and Technology, 61(5):689–696, 2001. doi: 10.1016/S0266-3538(01)00007-0.
[3] M. Aydogdu and V. Taskin. Free vibration analysis of functionally graded beams with simply supported edges. Materials & Design, 28(5):1651–1656, 2007. doi: 10.1016/j.matdes.2006.02.007.
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[5] A.J. Goupee and S.S. Vel. Optimization of natural frequencies of bidirectional functionally graded beams. Structural and Multidisciplinary Optimization, 32:473–484, 2006. doi: 10.1007/s00158-006-0022-1.
[6] H.J. Xiang and J. Yang. Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. Composites Part B:Engineering, 39(2):292–303, 2008. doi: 10.1016/j.compositesb.2007.01.005.
[7] M.T. Piovan and R. Sampaio. A study on the dynamics of rotating beams with functionally graded properties. Journal of Sound and Vibration, 327(1-2):134–143, 2009. doi: 10.1016/j.jsv.2009.06.015.
[8] M Şimşek and T. Kocatürk. Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load. Composite Structures, 90(4):465–473, 2009. doi: 10.1016/j.compstruct.2009.04.024.
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[11] A. Shahba, R. Attarnejad, M.T. Marvi, and S. Hajilar. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions. Composites Part B: Engineering, 42(4):801–808, 2011. doi: 10.1016/j.compositesb.2011.01.017.
[12] I. Elishakoff and Y. Miglis. Some intriguing results pertaining to functionally graded columns. Journal of Applied Mechanics, 80(4):1021–1029, 2013. doi: 10.1115/1.4007983.
[13] M. Soltani and B. Asgarian. New hybrid approach for free vibration and stability analyses of axially functionally graded Euler-Bernoulli beams with variable cross-section resting on uniform Winkler-Pasternak foundation. Latin American Journal of Solids and Structures, 16(3):e173, 2019. doi: 10.1590/1679-78254665.
[14] J.H. Kim and G.H. Paulino. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. Journal of Applied Mechanics, 69(4):502–514, 2002. doi: 10.1115/1.1467094.
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Authors and Affiliations

Burak Kılıç
1
ORCID: ORCID
Özge Özdemir
1
ORCID: ORCID
  1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, Istanbul, Turkey.

Statics and stability of diagonalless beams of particular kind – preliminary studies

Kinga Saternus Przemysław Saternus Andrzej Szychowski
Archives of Civil Engineering | 2024 | vol. 70 | No 1 | 71-93 | DOI: 10.24425/ace.2024.148901
Keywords diagonalless beam Vierendeel girder two-chord built-up member metal sleeve metal-glassbuilding envelopes buckling analysis
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Abstract

Attractive large-scale glazing is currently an architectural trend. However, achieving adequate stiffness for larger glazing spans requires the use of complex cross-sections, generally aluminium sections of considerable height. Members with openwork webs are sometimes used in order to achieve increased load-bearing capacity and stiffness with reduced weight. The disadvantage is that this solution takes up a lot of space inside the building. A recently patented diagonalless member attempts to solve the above-mentioned problems. The member is fully demountable and allows glass units to be installed in the space between the chords. It consists of two chords spaced apart by metal sleeves with bolts passed through them. In this study, preliminary qualitative experimental tests were carried out to determine the behaviour of the member under load and to identify zones sensitive to local deformation. On this basis, numerical models (bar and 3D solid models, including contact interactions) were created and tested. Subsequently, the optimum sleeve spacing was determined, the effect of rotational and translational stiffness reduction at the nodes was investigated, and stress concentration zones and forms of stability loss were identified. A new form of local loss of stability of the chord facewall was identified, the so-called sliding push effect of the chord walls on the sleeve (within the larger openings). This is a completely different type of chord facewall failure from that found in known tubular welded joints. The research programme focused on identifying the phenomena occurring in the new member in order to provide a basis for further, more advanced analyses.
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Authors and Affiliations

Kinga Saternus
1
ORCID: ORCID
Przemysław Saternus
1
ORCID: ORCID
Andrzej Szychowski
1
ORCID: ORCID
  1. Kielce University of Technology, Faculty of Civil Engineering and Architecture, Al. Tysiąclecia Panstwa Polskiego 7, 25-314 Kielce, Poland

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