Spectral finite element analysis of in-plane free vibration of laminated composite shallow arches

Li, Xiaobin; Soares, C. Guedes

doi:10.1016/j.compstruct.2015.05.060

Cited by 8 publications

(1 citation statement)

References 40 publications

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“…Curved laminated composite beams with constant curvature were considered by Jafari-Taookolaei et al [22], who analytically solved the eigenproblem, taking delamination into account, and developed a curvilinear finite element. Li et Geudes Soares [23] developed a spectral finite element model based on shear deformation theory. The exact solution of the governing homogeneous differential equations was used as the shape functions.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Analysis of the Spatial Vibration of Nonprismatic Arches by Means of Recurrence Relations for the Coefficients of the Chebyshev Series Expansion of the Solution

Ruta

Meissner

2018

Mathematical Problems in Engineering

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The problem of spatial vibrations, both aperiodically forced and free vibrations, of an arch with an arbitrary distribution of material and geometric parameters is considered. Approximation with Chebyshev series was used to solve a conjugated system of partial differential equations describing the problem. The system of differential equations was solved using an algorithm generating a recursive infinite system of equations, developed by S. Paszkowski in “Numerical applications of Chebyshev polynomials” (in Polish), Warsaw PWN, 1975. Since the coefficients of the obtained system of equations are defined by closed analytical formulas they can be directly used to solve any nonprismatic arch, without it being necessary to solve again the considered problem. The algorithm is highly accurate; i.e., already at a small approximation base it yields results agreeing with exact analytical solutions (obviously for problems in the case of which such solutions can be derived). In order to demonstrate this the eigenfrequencies and eigenvectors obtained for a circular prismatic arch were compared with their precise values determined from the exact analytical solutions. The results yielded by the proposed method were also compared with the results obtained by other methods and by other authors. As an illustration, the proposed method was used to solve a more complex problem, i.e., the problem of the free and aperiodically forced vibrations of a nonprismatic arch with its axis described by a catenary curve. In the example the effect of the lack of cross-sectional symmetry of the arch on the form of the system’s spatial free and forced vibrations was analysed.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Analysis of the Spatial Vibration of Nonprismatic Arches by Means of Recurrence Relations for the Coefficients of the Chebyshev Series Expansion of the Solution

Ruta

Meissner

2018

Mathematical Problems in Engineering

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Investigation of the changes in physical properties of PES/PVC fabrics after aging

Sacevičienė

Jucienė

Dobilaitė

et al. 2019

J of Applied Polymer Sci

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The aim of this work was to investigate the physical and mechanical performance of architectural polyester (PES)-poly(vinyl chloride) (PVC) membranes exposed to different artificial aging conditions. Two commercially available architectural membranes were chosen as research objects. The durability of the PES/PVC fabrics was evaluated by the loss in mechanical performance, scanning electron microscopy, and X-ray diffraction analysis in order to understand the effect of the degradation agents on the surface of the membranes. The mechanical performance of the PES/PVC membranes was unchanged. Scanning electron microscopy images of the tested materials showed initial cracks after aging. The X-ray fluorescence analysis showed that at the time of aging, the amount of Cl and Si decreased slightly, while Ti decreased by half, and Ca by volume increased twice. Dr. Virginija Sacevi cienė planned the aging of the materials and the qualitative tests after aging, performed some of the aging tests, carried out mechanical testing and analysis, supervised the research, and wrote the manuscript. Dr. Milda Jucienė performed some of the aging tests, carried out color change tests and analysis, and participated in the planning of qualitative tests after aging. Dr. Vaida Dobilaitė performed literature analysis, performed some of the aging tests, and participated in the planning of qualitative tests after aging. Dr. Valentina Krylova performed some literature analysis, carried out the wavelength dispersive X-ray fluorescence analysis, and identified some of the chemical compositions. Dr. Skirma Žalenkienė performed scanning electron microscopy and analysis and did morphological characterization. Dr. Njolė Dukštienė performed X-ray diffraction analysis and identified some of the chemical compositions. Dr. Raimondas Bli udžius participated in the mechanical testing of materials, analyzed the results of the research, and wrote the English version of the text and corrections after revision.

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A unified analysis for the transient response of composite laminated curved beam with arbitrary lamination schemes and general boundary restraints

Shao

Wang

et al. 2016

Composite Structures

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Spectral finite element analysis of in-plane free vibration of laminated composite shallow arches

Cited by 8 publications

References 40 publications

Analysis of the Spatial Vibration of Nonprismatic Arches by Means of Recurrence Relations for the Coefficients of the Chebyshev Series Expansion of the Solution

Analysis of the Spatial Vibration of Nonprismatic Arches by Means of Recurrence Relations for the Coefficients of the Chebyshev Series Expansion of the Solution

Investigation of the changes in physical properties of PES/PVC fabrics after aging

A unified analysis for the transient response of composite laminated curved beam with arbitrary lamination schemes and general boundary restraints

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