On the nonlinear vibration of heterogenous orthotropic shallow shells in the framework of the shear deformation shell theory

Sofiyev, A.H.; Turan, Ferruh

doi:10.1016/j.tws.2020.107181

Cited by 16 publications

(3 citation statements)

References 37 publications

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“…30 Multiple researchers performed vibrational response estimation in the linear and nonlinear free and forced environments over various FG structures. [31][32][33][34][35] The skin panel of the airplane is where composite materials are most frequently employed when referring to the aerospace sector. This decision becomes much more critical when the aircraft is in a high-flight-dynamic condition because structural failure may be caused by aerodynamic heating.…”

Section: Introductionmentioning

confidence: 99%

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Uncertain buckling characteristics of thermally loaded and internally defected variable fiber spacing composite laminates

Chandrakar,

Sharma,

Maiti

2024

Journal of Composite Materials

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The present investigation underscores the efficacy of laminated plates with variable fiber spacing (VFS) in the context of internal defects. The study involves the evaluation of the variability in buckling strength when faced with multiple tiers of damage; this is achieved through the implementation of an improved first-order shear deformation theory (IFSDT) within a finite element (FE) framework. Various types of fiber distribution (DT) are being examined to evaluate the effects of damage situated at both corner and mid locations. The application of a radial basis function network (RBFN)-based surrogate model demonstrates its potential as a feasible alternative to the computationally demanding Monte-Carlo simulations (MCS) for investigating the stochastic nature of buckling; the developed surrogate model requires reduced input sampling data to quantify buckling uncertainty. This study examines the stochastic nature of different material characteristics and observed that the uncertainty in the buckling response decreases with the increased damage severity. The assessment of the probability of failure is conducted subsequently. Following this, the damage ratios are influenced by randomness, leading to the pattern that an increased damage ratio corresponds to a more pronounced deviation in buckling uncertainty.

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Section: Introductionmentioning

confidence: 99%

“…30 Multiple researchers performed vibrational response estimation in the linear and nonlinear free and forced environments over various FG structures. 31–35…”

Section: Introductionmentioning

confidence: 99%

Uncertain buckling characteristics of thermally loaded and internally defected variable fiber spacing composite laminates

Chandrakar,

Sharma,

Maiti

2024

Journal of Composite Materials

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“…At this scale, the out-of-plane loads on the roof are considered to be transferred to the edge supports by membrane shear, leading to a whole body of research concerning the buckling of such structures [5], accounting for different loading conditions [6], presenting physical experiments [7], studying parallelogram projected-plan forms [8], with bending effects occurring at the edge regions near the supporting beams [9][10][11][12] and for hypars constructed from orthotropic steel decks [13]. Recently, the nonlinear vibration response of heterogeneous orthotropic shallow shells [14] has also been studied. However, hypars used to form bridge deck girder webs would be primarily loaded by a combination of in-plane shear and bending, as described in figure 1c.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analytical modelling of flat and hyperbolic paraboloidal panels under shear

2021

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The hyperbolic paraboloid (hypar) form has been widely used in long-span roof structures and is the subject of much research under out-of-plane loading. However, the behaviour of hypars under in-plane loading has been less keenly studied, and there is no suitable guidance for their design in current codes of practice. A nonlinear analytical model treating the hypar as a deliberate imperfection applied to a flat plate is presented. A Rayleigh–Ritz formulation using appropriate shape functions is developed and the resulting equations are solved using numerical continuation techniques. The results are verified with nonlinear finite-element models, showing good correlation across a range of thicknesses and degrees of initial curvature. Key modal contributions that influence the behaviour of the hypar are identified, providing insight into the nonlinear behaviour of hypars subject to in-plane shear. The main differences in behaviour between the flat plate and the hypar panel are shown to be most prevalent in the early stages of loading, where the influence of the initial geometry is at its greatest.

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Investigation of the Operation of Foundations in the Form of Shallow Shells on an Elastic Foundation

Kolesnikov

Stupishin

2023

Lecture Notes in Networks and Systems

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On the nonlinear vibration of heterogenous orthotropic shallow shells in the framework of the shear deformation shell theory

Cited by 16 publications

References 37 publications

Uncertain buckling characteristics of thermally loaded and internally defected variable fiber spacing composite laminates

Uncertain buckling characteristics of thermally loaded and internally defected variable fiber spacing composite laminates

Nonlinear analytical modelling of flat and hyperbolic paraboloidal panels under shear

Investigation of the Operation of Foundations in the Form of Shallow Shells on an Elastic Foundation

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