Articles with "ritz method" as a keyword



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Solving the Biharmonic Plate Bending Problem by the Ritz Method Using Explicit Formulas for Splines of Degree 5

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Published in 2018 at "Cybernetics and Systems Analysis"

DOI: 10.1007/s10559-018-0097-x

Abstract: An algorithm is presented to solve the biharmonic problem for clamped plate by the Ritz method, with the use of explicit formulas for splines of degree 5 on a triangular grid of nodes. A computational… read more here.

Keywords: ritz method; plate; formulas splines; splines degree ... See more keywords
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Rectangular and skew shear buckling of FG-CNT reinforced composite skew plates using Ritz method

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Published in 2018 at "Aerospace Science and Technology"

DOI: 10.1016/j.ast.2018.03.022

Abstract: Abstract Present research deals with the shear buckling behaviour of composite skew plates reinforced with aligned single walled carbon nanotubes (CNTs). Distribution of CNTs across the thickness of the skew plate are assumed to be… read more here.

Keywords: skew; shear buckling; skew plates; ritz method ... See more keywords
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Free vibration analysis of axisymmetric functionally graded doubly-curved shells with un-uniform thickness distribution based on Ritz method

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Published in 2019 at "Composite Structures"

DOI: 10.1016/j.compstruct.2019.111145

Abstract: Abstract This paper analyzed the free vibration of functionally graded (FG) doubly-curved shells with un-uniform thickness distribution based on Ritz method. The energy method and first-order shear deformation theory are adopted to derive the formulas.… read more here.

Keywords: ritz method; method; based ritz; curved shells ... See more keywords
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Composite expansion-Ritz method to post buckling problem of thin cold rolled strip

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Published in 2017 at "International Journal of Mechanical Sciences"

DOI: 10.1016/j.ijmecsci.2017.05.028

Abstract: Abstract This article focuses on evaluating the large deflection of the thin strip under practical condition of residual stress after cold rolling. In order to describe the problem mathematically, the incompatible von Karman equations were… read more here.

Keywords: composite expansion; strip; method; ritz method ... See more keywords
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A semi analytical solution for free vibration analysis of combined spherical and cylindrical shells with non-uniform thickness based on Ritz method

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Published in 2019 at "Thin-walled Structures"

DOI: 10.1016/j.tws.2019.106443

Abstract: Abstract The paper investigated the free vibration of combined spherical-cylindrical-spherical (CSCS) shell with non-uniform thickness based on Ritz method. The energy method and first-order shear deformation theory are adopted to derive the formulas. The displacement… read more here.

Keywords: ritz method; free vibration; method; spherical cylindrical ... See more keywords
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3D Vibration Analysis of Combined Shells of Revolution

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Published in 2019 at "International Journal of Structural Stability and Dynamics"

DOI: 10.1142/s0219455419500056

Abstract: A three-dimensional (3D) method of analysis is presented for determining the natural frequencies and the mode shapes of combined hemispherical–cylindrical shells of revolution with and without a top opening by the Ritz method. Instead of… read more here.

Keywords: shells revolution; ritz method; combined shells; method ... See more keywords
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Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

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Published in 2018 at "Mathematical Problems in Engineering"

DOI: 10.1155/2018/9684154

Abstract: To reflect vibration more comprehensively and to satisfy the machining demand for high-order frequencies, we presented a three-dimensional free vibration analysis of gears with variable thickness using the Chebyshev–Ritz method based on three-dimensional elasticity theory.… read more here.

Keywords: three dimensional; ritz; gears variable; method ... See more keywords
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Analytical Determination of Static Deflection Shape of an Asymmetric Extradosed Cable-Stayed Bridge Using Ritz Method

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Published in 2022 at "Materials"

DOI: 10.3390/ma15124255

Abstract: A practical method to analyze the mechanical behavior of the asymmetric extradosed cable-stayed (AECS) bridge is provided in this paper. The work includes the analysis of the equivalent membrane tension of the cables, the ratio… read more here.

Keywords: ritz method; cable; asymmetric extradosed; bridge ... See more keywords