Dynamic response of aerospace structures by means of refined beam theories

Pagani, Alfonso; Petrolo, Marco; Colonna, Giovanni; Carrera, Erasmo

doi:10.1016/j.ast.2015.08.005

Cited by 23 publications

(7 citation statements)

References 61 publications

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“…FNs are the basic building blocks of the proposed formulation. CUF has been adopted for different engineering problems [38][39][40][41], and it has been extended to nonlinear geometric analyses, for the resolution of the static behaviour of metallic and composite structures [42][43][44] and in dynamics [45,46]. In a unified formulation, different expansion functions are considered to approximate the throughthe-thickness kinematics.…”

Section: Introductionmentioning

confidence: 99%

Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations

et al. 2020

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The present paper presents the evaluation of three-dimensional (3D) stress distributions of shell structures in the large displacement and rotation fields. The proposed geometrical nonlinear model is based on a combination of the Carrera Unified Formulation (CUF) and the Finite Element Method (FEM). Besides, a Newton-Raphson linearization scheme is adopted to compute the geometrical nonlinear equations, which are constrained using the arc-length path-following method. Static analyses are performed using refined models and the full Green-Lagrange strain-displacement relations. The Second Piola-Kirchhoff (PK2) stress distributions are evaluated, and lower- to higher-order expansions are employed. Popular benchmarks problems are analyzed, including cylindrical isotropic shell structure with various boundary and loading conditions. Various numerical assessments for different equilibrium conditions in the moderate and large displacement fields are proposed. Results show the distribution of axial and shear stresses, varying the refinement of the proposed two-dimensional (2D) shell model. It is shown that for axial components, a lower-order expansion is sufficient, whereas a higher-order one is needed to accurately predict shear stresses.

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Section: Introductionmentioning

confidence: 99%

Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations

et al. 2020

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“…As the beam becomes less and less slender or flexible, its mechanics is increasingly threedimensional, and the classical models cannot yield accurate results [11]. Thus, over the years, much effort has been put to enhance and refine the classical beam theories [12], for example, refined beam theories [11,13], beam analysis via hierarchical finite element approach [14], or fiber beam elements [15]. The description methods of the beam theories mentioned above are suitable for structural vibration analysis and composite beam, and there is a more suitable description method for the large-motion, very flexible objects such as yarn, that is, absolute nodal coordinate formulation (ANCF) description.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Simulation of a Moving Yarn Segment: Based on the Absolute Nodal Coordinate Formulation

Wang

et al. 2019

Mathematical Problems in Engineering

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A new finite element dynamic model of a moving yarn segment has been proposed in this paper based on the absolute nodal coordinate formulation (ANCF). Apart from taking into account the elastic properties of the yarn in three dimensions, the model also considers the viscosity in the longitudinal direction and takes into account the effect of gravity and air resistance. In this paper, the simulation described the movement of the yarn segment that is pulled by the fixer on the guideway. Then, a corresponding experiment was proposed to evaluate the theoretical model. The theoretical and experimental comparisons of the motion tracing exhibited good agreement, demonstrating that the new model could predict the actual moving trace of the yarn segment. Moreover, another simulation of the spatial motion of the yarn segment was presented, to elucidate the role of the model in predicting the movement of the yarn segment. After considering the parameters of the actual process and its constraints, the authors established that the proposed model could be used to predict the trajectory of a yarn segment in the actual production process, which is vital when fabricating textile products.

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“…Each component can be modeled with its material characteristics, and no homogenization is needed. CW models have been recently exploited to deal with the analysis of aerospace structures [25,26,27,28,29], civil structures [30,31], fiber/matrix cells of composite structures [32,33], and damage analysis [34,35]. The use of the CW approach for composites was introduced in [32,33].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of energy and failure parameters in composite structures via a Component-Wise approach

Maiarù

Petrolo

Carrera

2017

Composites Part B: Engineering

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This paper deals with the static analysis of fiber reinforced composites via the Component-Wise approach (CW). The main aim of this work is the investigation of the CW capabilities for the evaluation of integral quantities such as the strain energy, or integral failure indexes. Such quantities are evaluated in the global structures and local volumes. The integral failure indexes, in particular, are proposed as alternatives to pointwise failure indexes. The CW approach has been recently developed as an extension of the 1D Carrera Unified Formulation (CUF). The CUF provides hierarchical higher-order structural models with arbitrary expansion orders. In this work, Lagrange-type polynomials are used to interpolate the displacement field over the element cross-sections. The CW makes use of the 1D CUF finite elements to model simultaneously different scale components (fiber, matrix, laminae and laminates) with a reduced computational cost. CW models do not require the homogenization of the material characteristics nor the definition of mathematical lines or surfaces. In other words, the material characteristics of each component, e.g. fibers and matrix, are employed, and the problem unknowns are placed above the physical surface of the body. In the perspective of failure analyses, the integral evaluation of failure parameters is introduced to determine critical portions of the structure where failure could take place. Integral quantities are evaluated using 3D integration sub-domains that may cover macro-and micro-volumes of the structure. The integral quantities can be evaluated directly on fiber and matrix portions. Numerical results are provided for different configurations and compared with solid finite element models. The results prove the accuracy of the CW approach and its computational efficiency. In particular, 3D local effects can be detected. The use of the integral failure index provides qualitatively reliable results; however, experimental campaigns should be carried out to related such indexes to the failure occurrence.

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Dynamic response of aerospace structures by means of refined beam theories

Cited by 23 publications

References 61 publications

Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations

Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations

Modeling and Simulation of a Moving Yarn Segment: Based on the Absolute Nodal Coordinate Formulation

Evaluation of energy and failure parameters in composite structures via a Component-Wise approach

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