Large deformations of tapered beam with finite integration method

Huang, Tuo; Yao, Yuan; Zheng, Jianlong; Avital, Eldad; Wen, P.H.

doi:10.1016/j.enganabound.2019.06.017

Cited by 8 publications

(4 citation statements)

References 16 publications

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“…Mesh distortion also occurs naturally during large deformation processes such as forging, extrusion, cutting, and other fields. [5][6][7] To solve the problem caused by mesh distortion, commercial finite element (FE) analysis software adopts remesh strategy. However, the remesh technology involves much computation effort, especially for three-dimensional (3D) complex structures.…”

Section: Introductionmentioning

confidence: 99%

“…For simple geometry of computational domain, regular meshes without distortion can be easily obtained while distorted element cannot be completely avoided in case of complex geometry. Mesh distortion also occurs naturally during large deformation processes such as forging, extrusion, cutting, and other fields 5‐7 . To solve the problem caused by mesh distortion, commercial finite element (FE) analysis software adopts remesh strategy.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An unsymmetric 8‐node plane element immune to mesh distortion for linear isotropic hardening material

Chen

et al. 2021

Numerical Meth Engineering

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An 8-node quadrilateral plane element US-QUAD8 is developed for linear isotropic hardening material in the framework of updated Lagrangian unsymmetric finite formulation where B L matrix is constructed by classical shape function, and B R matrix by the higher-order Lagrangian basis function in global coordinate system. The present element eliminates the influence of Jacobian in the elemental stiffness matrix and guarantees the quadratic completeness of displacement field even under severe distorted mesh. Two typical problems meshed with angular/curved-edge/mid-side distorted elements demonstrate excellent performance of distortion resistance of the present element and good computational efficiency in severe mesh distortion.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An unsymmetric 8‐node plane element immune to mesh distortion for linear isotropic hardening material

Chen

et al. 2021

Numerical Meth Engineering

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“…According to his theory, the stress at a point is not only related to the strain of that point but also all points of continuum. In nanoelement, non-uniform cross-section [5][6][7][8] is used very widely. It allows us to utilize material adequately according to its strength requirement.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration of tapered nanobeam with elastic supports

Hossain

Lellep

2021

Eng. Res. Express

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A tapered nanobeam is modelled by Euler–Bernoulli beam theory and nonlocal theory of elasticity. A solution technique based on homotopy perturbation method is proposed to analyse the dynamic behavior of the tapered nanobeam. Beam becomes tapered along the width exponentially. The effects of flexible and rigid supports on the vibration of tapered nanobeam are analysed. Influences of tapered ratio and nonlocal parameter on the shape mode of deflection are also scrutinized. Homotopy perturbation method shows its effectiveness in this analysis. The results reveal that the effects of nonlocal parameter and tapered ratio are significant for the dynamic behavior of tapered nanobeam.

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“…Complex bending structures are widely utilized in macromechanical and civil engineering applications (Ren et al, 2019& Huang et al, 2019. Many studies focus on the structural analysis and the displacement calculation of them both from the static perspective and the dynamic one.…”

Section: Introductionmentioning

confidence: 99%

Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures

Zheng

Xiao²,

Chen³

et al. 2021

JER is an international, peer-reviewed journal that publishes f

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It is very difficult to provide analytical displacement solutions for complex bending structures, such as beams with variable cross-sections, in structural analysis. The common methods used for such analysis—the direct integration method and the conventional graph multiplication method—have disadvantages of inefficiency and large computational costs. Therefore, a new approach called the stiffness decomposition method was proposed to overcome these shortcomings. The fundamental principle of this new approach was derived based on the unit load method. The general calculation equation of displacement was derived and provided for general n-segment complex bending structures, and an operational procedure for this method was constructed to facilitate its application. Then, the method was applied to two case studies involving classic complex bending structures. The results showed the correctness and effectiveness of the proposed method. The stiffness decomposition method was simpler and more efficient than the other two methods: the number of computations required by the stiffness decomposition method accounted for only 47.4% to 84.0% of the number of computations required by the other methods in the two case studies. The clear mathematical and mechanical derivation of the proposed method makes it easy to understand. Furthermore, the simplicity and practicality of this method make it extensively applicable.

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Large deformations of tapered beam with finite integration method

Cited by 8 publications

References 16 publications

An unsymmetric 8‐node plane element immune to mesh distortion for linear isotropic hardening material

An unsymmetric 8‐node plane element immune to mesh distortion for linear isotropic hardening material

Transverse vibration of tapered nanobeam with elastic supports

Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures

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