8-Node solid-shell elements selective mass scaling for explicit dynamic analysis of layered thin-walled structures

Confalonieri, Federica; Ghisi, Aldo; Perego, U.

doi:10.1007/s00466-015-1188-4

Cited by 6 publications

(4 citation statements)

References 21 publications

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“…A solid-shell finite element discretization is adopted, by using the element proposed in [15] and successive modifications (in particular we use the selective mass scaling described in [3] and [4]). In the paper we assume the following numbering for the reference element: since the thickness is small, it is always possible to identify nodes 1-4 for the lower surface, and nodes 5-8 for the upper surface.…”

Section: Formulationmentioning

confidence: 99%

Finite Element Simulation of Crack Propagation and Delamination in Layered Shells Due to Blade Cutting

Confalonieri¹,

Ghisi²,

Perego³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Section: Formulationmentioning

confidence: 99%

Finite Element Simulation of Crack Propagation and Delamination in Layered Shells Due to Blade Cutting

Confalonieri¹,

Ghisi²,

Perego³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…The static, free vibration and crack propagation for detecting the failure behaviours are investigated (Nguyen-Thanh et al, 2018;Li et al, 2020;Huang et al, 2022). Currently, the conventional thin shell theory (Fluegge, 1973;Love, 2013;Tzou and Howard, 1994), which is based on the Kirchhoff-Love hypothesis ignoring transverse shear deformation, is often used to study shell problems (Confalonieri et al, 2015;Kiendl et al, 2009;Zukas, 1974;Zareh and Qian, 2018;Creaghan and Palazotto, 1994), and for shell structures with small shear stiffness (i.e. prone to significant transverse shear deformation), certain errors will be introduced (Hansbo and Larson, 2011;Repin and Sauter, 2010;Weise, 2018;Rychter, 1988).…”

Section: Introductionmentioning

confidence: 99%

“…, 2022). Currently, the conventional thin shell theory (Fluegge, 1973; Love, 2013; Tzou and Howard, 1994), which is based on the Kirchhoff–Love hypothesis ignoring transverse shear deformation, is often used to study shell problems (Confalonieri et al. , 2015; Kiendl et al.…”

Section: Introductionmentioning

confidence: 99%

Mesh refinement of finite element method for free vibration analysis of variable geometrical rotating cylindrical shells

Wang

2023

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PurposeThis study aims to provide a reliable and effective algorithm that is suitable for addressing the problems of continuous orders of frequencies and modes under different boundary conditions, circumferential wave numbers and thickness-to-length ratios of moderately thick circular cylindrical shells. The theory of free vibration of rotating cylindrical shells is of utmost importance in fields such as structural engineering, rock engineering and aerospace engineering. The finite element method is commonly used to study the theory of free vibration of rotating cylindrical shells. The proposed adaptive finite element method can achieve a considerably more reliable high-precision solution than the conventional finite element method.Design/methodology/approachOn a given finite element mesh, the solutions of the frequency mode of the moderately thick circular cylindrical shell were obtained using the conventional finite element method. Subsequently, the superconvergent patch recovery displacement method and high-order shape function interpolation techniques were introduced to obtain the superconvergent solution of the mode (displacement), while the superconvergent solution of the frequency was obtained using the Rayleigh quotient computation. Finally, the superconvergent solution of the mode was used to estimate the errors of the finite element solutions in the energy norm, and the mesh was subdivided to generate a new mesh in accordance with the errors.FindingsIn this study, a high-precision and reliable superconvergent patch recovery solution for the vibration modes of variable geometrical rotating cylindrical shells was developed. Compared with conventional finite element method, under the challenging varying geometrical circumferential wave numbers, and thickness–length ratios, the optimised finite element meshes and high-precision solutions satisfying the preset error limits were obtained successfully to solve the frequency and mode of continuous orders of rotating cylindrical shells with multiple boundary conditions such as simple and fixed supports, demonstrating good solution efficiency. The existing problem on the difficulty of adapting a set of meshes to the changes in vibration modes of different orders is finally overcome by applying the adaptive optimisation.Originality/valueThe approach developed in this study can accurately obtain the superconvergent patch recovery solution of the vibration mode of rotating cylindrical shells. It can potentially be extended to fine numerical models and high-precision computations of vibration modes (displacement field) and solid stress (displacement derivative field) for general structural special value problems, which can be extensively applied in the field of engineering computations in the future. Furthermore, the proposed method has the potential for adaptive analyses of shell structures and three-dimensional structures with crack damage. Compared with conventional finite element methods, significant advantages can be achieved by solving the eigenvalues of structures with high precision and stability.

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“…Shells are categorised according to their radius-to-thickness ratio, as defined in Table 1. To date, research into shell vibration has focused predominantly on thin shells, based on the classical theory of thin shells (Donnell, 1933; Sanders and Lyell, 1959; Fluegge, 1973; Love, 2013) while ignoring transverse shear deformations (Love, 2013; Confalonieri et al , 2015). However, practical engineering situations often involve thicker plate and shell structures that lie beyond the application scope of this theory.…”

Section: Introductionmentioning

confidence: 99%

An hp-version adaptive finite element algorithm for eigensolutions of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation

Wang

2021

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PurposeThis study presents a novel hp-version adaptive finite element method (FEM) to investigate the high-precision eigensolutions of the free vibration of moderately thick circular cylindrical shells, involving the issues of variable geometrical factors, such as the thickness, circumferential wave number, radius and length.Design/methodology/approachAn hp-version adaptive finite element (FE) algorithm is proposed for determining the eigensolutions of the free vibration of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation. This algorithm first develops the established h-version mesh refinement method for detecting the non-uniform distributed optimised meshes, where the error estimation and element subdivision approaches based on the superconvergent patch recovery displacement method are introduced to obtain high-precision solutions. The errors in the vibration mode solutions in the global space domain are homogenised and approximately the same. Subsequently, on the refined meshes, the algorithm uses higher-order shape functions for the interpolation of trial displacement functions to reduce the errors quickly, until the solution meets a pre-specified error tolerance condition. In this algorithm, the non-uniform mesh generation and higher-order interpolation of shape functions are suitable for addressing the problem of complex frequencies and modes caused by variable structural geometries.FindingsNumerical results are presented for moderately thick circular cylindrical shells with different geometrical factors (circumferential wave number, thickness-to-radius ratio, thickness-to-length ratio) to demonstrate the effectiveness, accuracy and reliability of the proposed method. The hp-version refinement uses fewer optimised meshes than h-version mesh refinement, and only one-step interpolation of the higher-order shape function yields the eigensolutions satisfying the accuracy requirement.Originality/valueThe proposed combination of methodologies provides a complete hp-version adaptive FEM for analysing the free vibration of moderately thick circular cylindrical shells. This algorithm can be extended to general eigenproblems and geometric forms of structures to solve for the frequency and mode quickly and efficiently.

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8-Node solid-shell elements selective mass scaling for explicit dynamic analysis of layered thin-walled structures

Cited by 6 publications

References 21 publications

Finite Element Simulation of Crack Propagation and Delamination in Layered Shells Due to Blade Cutting

Finite Element Simulation of Crack Propagation and Delamination in Layered Shells Due to Blade Cutting

Mesh refinement of finite element method for free vibration analysis of variable geometrical rotating cylindrical shells

An hp-version adaptive finite element algorithm for eigensolutions of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation

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