Large deflection bending analysis of variable-thickness tapered plates under three-dimensionally hygrothermomechanical loads

Yu, Qiang

doi:10.1016/j.ijmecsci.2021.106648

Cited by 12 publications

(3 citation statements)

References 75 publications

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“…There have been some articles dealing with this issue. The literature [1] aimed at nonlinear bending analysis of tapered plates with variable thickness under 3D hygrothermal stresses related to Von Kármán theory. The different heat and moisture boundaries were also included in [1].…”

Section: Introductionmentioning

confidence: 99%

“…The literature [1] aimed at nonlinear bending analysis of tapered plates with variable thickness under 3D hygrothermal stresses related to Von Kármán theory. The different heat and moisture boundaries were also included in [1]. Based on eliminating singular sharp edges and a unified wavelet solving methodology, the governing partial differential equations for this structure in a hydro-thermomechanical environment have been given and solved.…”

Section: Introductionmentioning

confidence: 99%

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Study on Nonlinear Behavior of Variable Thickness Plates

Hoang That Ton

2024

IJEMS

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The analysis of variable-thickness plates is much more complicated than that of uniform-thickness plates because variable coefficients occur in the equations. In reality, this analysis is of great interest in various engineering disciplines, such as civil engineering, aerospace engineering, machine design, and so on. Although there is extensive literature on analyses of plates with constant thickness, a rather limited amount of technical literature is available on the solutions to problems dealing with plates with nonuniform thickness. The reason is that the analytical solutions meet insurmountable difficulties. Besides, the nonlinear analysis process also faces more difficulties than the linear analysis of structures. For these reasons, the nonlinear behavior of variable-thickness plates based on a finite element procedure is presented in this study. Although the topic is not special, it will help the engineer have a specific view of the nonlinear bending of the plate with variable thickness. This survey will be based on the change in geometrical parameters. Numerical solutions are then presented to verify the simplicity of this proposed procedure.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on Nonlinear Behavior of Variable Thickness Plates

Hoang That Ton

2024

IJEMS

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“…Variable thickness plates with optimal structural performance and economic cost-savings are commonly used in many engineering applications, such as offshore structures, aircrafts and The current issue and full text archive of this journal is available on Emerald Insight at: https://www.emerald.com/insight/0264-4401.htm space vehicles, civil constructions and mechanical engineering applications (Yu, 2021). As a common structural component in engineering, the mechanical behavior of a variable thickness plate under different boundary conditions has attracted increasing attention recently.…”

Section: Introductionmentioning

confidence: 99%

Bending of variable thickness rectangular thin plates resting on a double-parameter foundation: integral transform solution

Tuo

Sun

et al. 2022

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PurposeThe purpose of this study is to propose a generalized integral transform technique (GITT) to investigate the bending behavior of rectangular thin plates with linearly varying thickness resting on a double-parameter foundation.Design/methodology/approachThe bending of plates with linearly varying thickness resting on a double-parameter foundation is analyzed by using the GITT for six combinations of clamped, simply-supported and free boundary conditions under linearly varying loads. The governing equation of plate bending is integral transformed in the uniform-thickness direction, resulting in a linear system of ordinary differential equations in the varying thickness direction that is solved by a fourth-order finite difference method. Parametric studies are performed to investigate the effects of boundary conditions, foundation coefficients and geometric parameters of variable thickness plates on the bending behavior.FindingsThe proposed hybrid analytical-numerical solution is validated against a fourth-order finite difference solution of the original partial differential equation, as well as available results in the literature for some particular cases. The results show that the foundation coefficients and the aspect ratio b/a (width in the y direction to height of plate in the x direction) have significant effects on the deflection of rectangular plates.Originality/valueThe present GITT method can be applied for bending problems of rectangular thin plates with arbitrary thickness variation along one direction under different combinations of loading and boundary conditions.

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