Journal Article10.1061/(ASCE)EM.1943-7889.0000507
Generalized Beam Theory to Analyze the Vibration of Open-Section Thin-Walled Composite Members
Nuno Silvestre,Dinar Camotim +1 more
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TL;DR: In this paper, a generalized beam theory (GBT) was proposed to analyze the vibration behavior of composite thin-walled prismatic members displaying straight axis, open-section, and arbitrary orthotropy.
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Abstract: This paper presents the formulation of a generalized beam theory (GBT) to analyze the vibration behavior of composite thin-walled prismatic members displaying straight axis, open-section, and arbitrary orthotropy. It accounts for the effects of (1) the cross section in-plane deformation, (2) geometric and material couplings, (3) primary and secondary warping, and (4) rotary inertia. First, the GBT equilibrium equations and boundary conditions are derived, and their terms are physically interpreted, i.e., related to the member mechanical properties. Then, a few remarks on the cross-section mechanical properties appearing in the linear stiffness and inertia terms are presented. Finally, to clarify the concepts involved in the proposed GBT formulation and illustrate its application and capabilities, an in-depth study concerning the local and global vibration behavior of lipped channel members with (1) simply supported end sections and wall cross-ply orthotropy and (2) fixed (clamped) end sections and wall nonaligned orthotropy are presented and discussed in detail.
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Citations
Buckling and Post-Buckling of Thin-Walled Composite Laminated Beams—A Review of Engineering Analysis Methods
TL;DR: In this article, an overview of the buckling and postbuckling behavior of thin-walled composite laminated beams is provided, covering topics such as exact and closed-form analytical approximate solutions as well as semi-analytical and numerical methods.
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Benchmarks for higher-order modes evaluation in the free vibration response of open thin-walled beams due to the cross-sectional deformations
TL;DR: In this article, a series of thin-walled beams with complex open cross-sections are analyzed and compared using the Modal Assurance Criterion (MAC) and the Carrera Unified Formulation (CUF).
26
Numerical vibration correlation technique for thin-walled composite beams under compression based on accurate refined finite element
TL;DR: In this article, a refined finite element based on the Carrera Unified Formulation (CUF) is developed for the evaluation of the variations of the natural frequencies for highly flexible thin-walled composite beams.
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An efficient model for laminated composite thin-walled beams of open or closed cross-section and with or without in-filled materials
TL;DR: In this paper, a 2D finite element (FE) model is used for solving the 2D sectional problem, while the 1D problem for the global load response of the beams is solved by a 1D FE model utilizing the sectional stiffness parameters obtained from the two-dimensional model.
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Numerical vibration correlation technique for thin-walled composite beams under compression based on accurate refined finite element
01 Jan 2022
TL;DR: In this article , a refined finite element based on the Carrera Unified Formulation (CUF) is developed for the evaluation of the variations of the natural frequencies for highly flexible thin-walled composite beams.
12
References
Second-order generalised beam theory for arbitrary orthotropic materials
Nuno Silvestre,Dinar Camotim +1 more
TL;DR: In this article, the structural behavior of composite thin-walled members made of laminated plates and displaying arbitrary orthotropy was analyzed and the main concepts and procedures involved in the available isotropic first-order generalized beam theory were revisited and adapted/modified to account for the specific aspects related to the member orthots.
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A Vlasov theory for fiber-reinforced beams with thin-walled open cross sections
Nelson R. Bauld,Tzeng Lih-Shyng +1 more
TL;DR: In this paper, a Vlasov type theory for thin-walled composite beams with open cross sections made from midplane symmetric, fiber-reinforced laminates is presented.
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Free Vibration Of Anisotropic Composite Thin-Walled Beams Of Closed Cross-Section Contour
Ohseop Song,Liviu Librescu +1 more
TL;DR: In this article, the authors focus on the formulation of the dynamic problem of laminated composite thick and thin-walled, single-cell beams of arbitrary cross-section and on the investigation of their associated free vibration behavior.
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Finite strip method
Y.K. Cheung,L.G. Tham +1 more
- 01 Jul 2020
TL;DR: In this article, the authors present a method for the analysis of folded-plates and box-girders by Classical Finite Strip analysis, which is based on the theory of free vibration and stability matrix.
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