Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general loads

Tornabene, Francesco; Viscoti, Matteo; Dimitri, Rossana

doi:10.1016/j.enganabound.2022.02.021

Cited by 28 publications

(6 citation statements)

References 86 publications

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“…Unconventional boundary conditions have been enforced accounting for a Double-Weibull distribution of linear springs. For more details on the topic, the interested reader is referred to [5].…”

Section: Applications and Resultsmentioning

confidence: 99%

“…is applied on the structure, according to Ref. [5]. Taking into account a bivariate super elliptic distribution [5], the external load is distributed only in a limited area within the physical domain, Classical approaches like FSDT and TSDT are not capable of predicting the three-dimensional finite element outcomes, as well as higher order ESL theories.…”

Section: Applications and Resultsmentioning

confidence: 99%

“…[5]. Taking into account a bivariate super elliptic distribution [5], the external load is distributed only in a limited area within the physical domain, Classical approaches like FSDT and TSDT are not capable of predicting the three-dimensional finite element outcomes, as well as higher order ESL theories. The static response of the entire lamination scheme can be properly evaluated only with higher order LW theories for both in-plane and out-of-plane stress components.…”

Section: Applications and Resultsmentioning

confidence: 99%

“…In the present contribution, a generalized higher order two-dimensional formulation based on a LW approach is proposed to study the linear statics and dynamics of laminated shell structures featuring a double curvature, general lamination schemes, and enforced with unconventional external constrains [5]. Then, a unified higher order ESL theory is outlined as a particular case of the LW.…”

Section: Introductionmentioning

confidence: 99%

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Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Tornabene

2023

Theoretical and Applied Mechanics - AIMETA 2022

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Abstract. In the present work, a two-dimensional model based on a higher order Layer-Wise (LW) approach is presented for the static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology is also obtained as particular case of LW. Each lamina of the stacking sequence is modelled as an anisotropic continuum. The fundamental equations account for both surface and concentrated loads, as well as the effects of the Winkler-Pasternak foundation. Moreover, non-conventional boundary conditions are introduced, and the numerical solution is assessed from the Generalized Differential Quadrature (GDQ) method. The proposed formulation is validated with respect to refined three-dimensional simulations, pointing out its accuracy and computational efficiency.

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Section: Applications and Resultsmentioning

confidence: 99%

Section: Applications and Resultsmentioning

confidence: 99%

Section: Applications and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Tornabene

2023

Theoretical and Applied Mechanics - AIMETA 2022

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“…In the dynamical and static dispersion analysis of plates and beams interacting with elastic foundations, most researchers used innovative foundation models. [34][35][36][37][38][39][40][41][42][43][44][45] However, some models are so complex that they have just a few practical uses. As a result, researchers and engineers continue to choose basic but adequately realistic models, such as the Winkler model, 46 the linear pressure model, the two-parameter model as well as the elastic continuum model.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of elastic waves in the three-layered inhomogeneous sandwich plate embedded in the Winkler foundations

Asif

Nawaz

Nuruddeen³

2023

Science Progress

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This research article investigates the behavior of elastic waves in an inhomogeneous isotropic three-layered sandwich plate with soft-core and stiff-skin layers embedded in Winkler foundations, using anti-plane shear motion. The study establishes the exact antisymmetric dispersion relation, low-frequency spectrum, and overall cut-off frequency of the wave propagation. A shortened polynomial dispersion relation is developed for the long-wave low-frequency regime by considering the contrasting material setup and compared with the exact dispersion relation. This article also provides exact and asymptotic formulas for stresses and displacements in each layer of the plate, as well as approximate one-dimensional equations of motion. The results suggest that the approximate equations of motion for the three-layered sandwich plate are valid throughout the entire low-frequency range, despite the presence of Winkler foundations on both sides of the plate. This research is significant as it provides insights into the behavior of waves in composite materials and can be used to improve the design of sandwich structures used in various engineering applications. Additionally, the findings that the approximate equations of motion for the three-layered sandwich plate are valid throughout the low-frequency range, despite the presence of Winkler foundations, can help simplify calculations and make the design process more efficient.

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Dynamic Analysis of Doubly-Curved Shells Made of Advanced Materials with Higher Order Theories and Generalized Differential Quadrature

Tornabene,

Viscoti,

Dimitri

2023

Lecture Notes in Civil Engineering

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Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general loads

Cited by 28 publications

References 86 publications

Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Dispersion of elastic waves in the three-layered inhomogeneous sandwich plate embedded in the Winkler foundations

Dynamic Analysis of Doubly-Curved Shells Made of Advanced Materials with Higher Order Theories and Generalized Differential Quadrature

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