Elastic analysis of rectilinear orthotropic composite circular plates subject to transversal and in-plane load conditions using Ritz method
An analytical procedure for the analysis of elastic behavior of rectilinear orthotropic composite circular plate subjected to orthogonal and in-plane loads is presented. This kind of plates is composed of fiber-reinforced layers featuring fibers, differently oriented, arranged along rectilinear traj...
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| Published in | Composite structures Vol. 199; pp. 63 - 75 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2018
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| Abstract | An analytical procedure for the analysis of elastic behavior of rectilinear orthotropic composite circular plate subjected to orthogonal and in-plane loads is presented. This kind of plates is composed of fiber-reinforced layers featuring fibers, differently oriented, arranged along rectilinear trajectories; composite lay-ups commonly employed for spot junctions are considered. The constitutive equations for rectilinear orthotropic composite circular plates are derived in the frame of classical lamination theory. The displacement components are determined, according to a novel approach, applying Ritz method to the virtual displacements principle for the load conditions treated in this work. The proposed framework is an approaching step for the theoretical definition of a Spot Joint Element able to simulate spot junctions (bolts, rivets or generic pins) applied to composite plates. To this purpose, displacement constraints deriving from the theoretical reference model of Spot Joint Element are considered. The employment of these specific boundary conditions required the derivation of suitable approximation functions, here reported in parametric form. Analytical results obtained by using the proposed procedure precisely match numerical results obtained by using refined FE models, for different aspect ratios of the plate and different laminate symmetrical lay-ups. |
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| AbstractList | An analytical procedure for the analysis of elastic behavior of rectilinear orthotropic composite circular plate subjected to orthogonal and in-plane loads is presented. This kind of plates is composed of fiber-reinforced layers featuring fibers, differently oriented, arranged along rectilinear trajectories; composite lay-ups commonly employed for spot junctions are considered. The constitutive equations for rectilinear orthotropic composite circular plates are derived in the frame of classical lamination theory. The displacement components are determined, according to a novel approach, applying Ritz method to the virtual displacements principle for the load conditions treated in this work. The proposed framework is an approaching step for the theoretical definition of a Spot Joint Element able to simulate spot junctions (bolts, rivets or generic pins) applied to composite plates. To this purpose, displacement constraints deriving from the theoretical reference model of Spot Joint Element are considered. The employment of these specific boundary conditions required the derivation of suitable approximation functions, here reported in parametric form. Analytical results obtained by using the proposed procedure precisely match numerical results obtained by using refined FE models, for different aspect ratios of the plate and different laminate symmetrical lay-ups. |
| Author | Fanelli, Pierluigi Vivio, Francesco Belardi, Valerio G. |
| Author_xml | – sequence: 1 givenname: Valerio G. orcidid: 0000-0002-2231-9552 surname: Belardi fullname: Belardi, Valerio G. organization: Department of Enterprise Engineering – University of Rome Tor Vergata, Via del Politecnico, 1, 00133 Rome, Italy – sequence: 2 givenname: Pierluigi orcidid: 0000-0002-5095-4107 surname: Fanelli fullname: Fanelli, Pierluigi organization: DEIM, University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy – sequence: 3 givenname: Francesco surname: Vivio fullname: Vivio, Francesco email: vivio@uniroma2.it organization: Department of Enterprise Engineering – University of Rome Tor Vergata, Via del Politecnico, 1, 00133 Rome, Italy |
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| Keywords | Bolted connections Ritz method Rectilinear orthotropic composite material Circular plates |
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composite bolted joints: Part I– model development and validation publication-title: Compos Struct doi: 10.1016/j.compstruct.2004.09.024 – volume: 9 start-page: 123 year: 1972 ident: 10.1016/j.compstruct.2018.05.062_b0110 article-title: Stability of a laminated anisotropic circular plate publication-title: J Spacecraft Rockets doi: 10.2514/3.30382 – volume: 26 start-page: 3231 year: 2012 ident: 10.1016/j.compstruct.2018.05.062_b0100 article-title: A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences publication-title: J Mech Sci Technol doi: 10.1007/s12206-012-0823-7 – year: 1959 ident: 10.1016/j.compstruct.2018.05.062_b0085 – volume: 8 start-page: 368 year: 2018 ident: 10.1016/j.compstruct.2018.05.062_b0125 article-title: Structural analysis of transversally loaded quasi-isotropic rectilinear orthotropic composite circular plates with Galerkin method publication-title: Proc Struct Integrity doi: 10.1016/j.prostr.2017.12.037 |
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| SubjectTerms | Bolted connections Circular plates Rectilinear orthotropic composite material Ritz method |
| Title | Elastic analysis of rectilinear orthotropic composite circular plates subject to transversal and in-plane load conditions using Ritz method |
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