One-Dimensional Axisymmetric Model of the Stress State of the Adhesive Joint

Barakhov, Kostiantyn; Dvoretska, D. V.; Poliakov, Oleksandr

doi:10.1007/978-3-030-66717-7_26

Cited by 10 publications

(2 citation statements)

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“…4. Application of the proposed approach to optimize joints of coaxial cylindrical shells [27] with circular symmetry [28,29].…”

Section: Discussionmentioning

confidence: 99%

Archive of Mechanical Engineering

Kurennov,

Barakhov,

Polyakov

et al. 2022

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The problem of optimal design of symmetrical double-lap adhesive joint is considered. It is assumed that the main plate has constant thickness, while the thickness of the doublers can vary along the joint length. The optimization problem consists in finding optimal length of the joint and an optimal cross-section of the doublers, which provide minimum structural mass at given strength constraints. The classical Goland-Reissner model was used to describe the joint stress state. A corresponding system of differential equations with variable coefficients was solved using the finite difference method. Genetic optimization algorithm was used for numerical solution of the optimization problem. In this case, Fourier series were used to describe doubler thickness variation along the joint length. This solution ensures smoothness of the desired function. Two model problems were solved. It is shown that the length and optimal shape of the doubler depend on the design load.

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“…4. Application of the proposed approach to optimize joints of coaxial cylindrical shells [27] with circular symmetry [28,29].…”

Section: Discussionmentioning

confidence: 99%

Archive of Mechanical Engineering

Kurennov,

Barakhov,

Polyakov

et al. 2022

View full text Add to dashboard Cite

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“…2. Завдяки гнучкості еволюційних алгоритмів оптимізації не складає труднощів розвинути запропонований підхід на більш точні математичні моделі з'єднань, які враховують вигин конструкції і напруження відриву у клейовому шарі, а також на інші задачі, які можуть бути зведені до одновимірних [3,13,14].…”

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Topological optimization of a symmetric single-lap adhesive joint

Kurennov¹

2022

SRIT

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The profile optimization problem for layers overlapped with an interjacent adhesive layer is considered. The joint is considered according to the Volkersen model, according to which the base layers are considered as rods that act only in stress-strain, and the adhesive layer acts only in shear. The aim of the optimization is to design a joint structure of minimum mass under the strength restrictions for the adhesive layer and the minimally allowable base layer thickness. The base layers profile is described by a Fourier series expansion. The direct stress state problem for the joint of variable thickness rods is solved by the finite difference method. The optimization problem is reduced to the problem of determining Fourier series coefficients and the joint length. A genetic optimization algorithm was used. The model problem is solved.

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