Thermal Buckling Analysis and Optimization of Curvilinearly Stiffened Plates with Variable Angle Tow Laminates

Zhao, Wei; Singh, Kamaldeep; Kapania, Rakesh K.

doi:10.2514/1.a34378

Cited by 34 publications

(28 citation statements)

References 39 publications

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“…From Table. 4, it is clear that the results of critical buckling temperature predicted by using the present Rayleigh-Ritz model are very close to those obtained by Vescovini and Dozio[48] and Zhao et al[54] and FE solutions for all the composite materials studied. The ability of the proposed Rayleigh-Ritz model to accurately predict the thermal buckling response of VAT composite plates is thus demonstrated.…”

supporting

confidence: 88%

“…In their work, closed-form solutions of prebuckling results are presented four different sets of inplane boundary constraints. Other works [49,50,51,52,53,54,55,56] on thermal buckling analysis of VAT composite plates or structures mainly relied on the finite element approach, in which a significant computational effort was required to solve the thermal buckling problem, especially coupled with optimisation algorithms. To the best of the authors' knowledge, no research has been published in which an attempt has been made to study the thermomechanical buckling behaviour of VAT plates with general in-plane boundary constraint.…”

Section: Introductionmentioning

confidence: 99%

“…The results of critical buckling temperature obtained by the present Rayleigh-Ritz method for VAT composite plates made of different composite materials are listed in Table.4. The results published by Duran et al[50], Vescovini and Dozio[48] and Zhao et al[54] and FE solutions are also included for comparison purposes.…”

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confidence: 99%

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Application of Rayleigh-Ritz formulation to thermomechanical buckling of variable angle tow composite plates with general in-plane boundary constraint

Chen

Nie

2020

International Journal of Mechanical Sciences

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Variable Angle Tow (VAT) composites always exhibit in-plane variable stiffness property, which provides the designer with an extended freedom in stiffness tailoring to achieve higher structural performance for lightweight composite structures. In this paper, a methodology based on a generalised Rayleigh-Ritz formulation is developed to study the thermomechanical buckling response of symmetrical VAT composite plates with general in-plane boundary constraint. It is assumed that the material is of temperatureindependent and the panel is exposed to an arbitrary in-plane temperature change. In the framework of thermoelastic theory, the principle of thermoelastic complementary energy in conjunction with Airy's stress function formulation, for the first time, is applied to solve the in-plane thermoelastic problem of the tow-steered plate. The non-uniform distribution of in-plane force resultant over the entire plane is determined by utilizing the Rayleigh-Ritz formulation enhanced by Lagrangian multiplier method. The merit of the proposed modelling strategy lies in that the application of Lagrangian multiplier method removes the restrictions inherent in conventional Rayleigh-Ritz formulation and thus provides generality to model general in-plane boundary constraint against thermal expansion or contraction. During the buckling analysis, the governing equation of thermomechanical buckling problem of the tow-steered plate under a combination of both

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supporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

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Application of Rayleigh-Ritz formulation to thermomechanical buckling of variable angle tow composite plates with general in-plane boundary constraint

Chen

Nie

2020

International Journal of Mechanical Sciences

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“…In the last two years, new studies introduced the idea of combining variable-stiffness skins with curvilinear stiffeners, aiming at exploiting the improved design flexibility to achieve better structural response [34][35][36]. Singh and Kapania [34] employed NASTRAN analyses and Particle Warm Optimization (PSO) optimization to demonstrate that, under certain loading conditions, a 200% increase is possible in terms of buckling load, compared to classical composite configurations with straight stiffeners.…”

Section: Introductionmentioning

confidence: 99%

“…Singh and Kapania [34] employed NASTRAN analyses and Particle Warm Optimization (PSO) optimization to demonstrate that, under certain loading conditions, a 200% increase is possible in terms of buckling load, compared to classical composite configurations with straight stiffeners. Special purpose finite element models were developed to illustrate advantages in terms of free-vibration response [36], with or without pre-stresses, and thermal buckling behavior [35].…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical approach for the analysis of variable-stiffness panels with curvilinear stiffeners

Vescovini

Oliveri

Pizzi

et al. 2020

International Journal of Solids and Structures

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A component-based method for the optimization of stiffener layout on large cylindrical rib-stiffened shell structures

Savine

Irisarri

Julien

et al. 2021

Struct Multidisc Optim

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In the present work, an optimization method is proposed in order to produce innovative stiffening layouts for large stiffened cylindrical shell structures, as they appear in the aerospace industry. A componentbased logic is applied on a ground mesh of structural elements (shells and beams), which was inspired by techniques of explicit topology optimization on solid elements (plane or tridimensional massive models). Geometric components, representing the layout of the stiffeners (i.e. location, shape and size), are projected onto the ground mesh, resulting in controlled sets of active beam elements. These sets constitute the structural representation of the stiffeners' layout in the optimization model, which is then used to evaluate the objective and constraint functions of the optimization problem as well as their semi-analytical sensitivities. By applying the optimization method to compliance minimization problems, we show the efficiency and accuracy of the The authors acknowledge ONERA and CNES for co-funding this project.

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Thermal Buckling Analysis and Optimization of Curvilinearly Stiffened Plates with Variable Angle Tow Laminates

Cited by 34 publications

References 39 publications

Application of Rayleigh-Ritz formulation to thermomechanical buckling of variable angle tow composite plates with general in-plane boundary constraint

Application of Rayleigh-Ritz formulation to thermomechanical buckling of variable angle tow composite plates with general in-plane boundary constraint

A semi-analytical approach for the analysis of variable-stiffness panels with curvilinear stiffeners

A component-based method for the optimization of stiffener layout on large cylindrical rib-stiffened shell structures

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