Accurate Free Vibration Analysis of Launcher Structures Using Refined 1D Models

Carrera, Erasmo; Zappino, Enrico; Cavallo, Tommaso

doi:10.5139/ijass.2015.16.2.206

Cited by 8 publications

(5 citation statements)

References 21 publications

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“…A significant breakthrough has meant that complex reinforced structures to be analysed, isotropic curved panels and reinforced cylinder, in static [26] and dynamic [27] analyses. This approach has been used to study a luncher made in isotropic material [28] with a central body and two lateral boosters. The effect of the solid fuel consumption on the dynamic behaviour of the proposed isotropic launcher has been also considered [29].…”

Section: Introductionmentioning

confidence: 99%

“…According to FEM approximation along the y − axis, the 11 components joined together are modelled using different beam elements, in particular, 2 − B3 beam elements are used for the thin-walled reinforced components, while only 1 − B3 beam element is used to model the rib components. The cross-section geometrical properties can be found in[28] where the 1D − CU F (or LE) metallic model is compared with respect to two FE models from the commercial Nastran code, a shell − beam FE model and a Solid Ref ined model. An advanced assessment analysis was conduced recently in[29] where the metallic LE launcher model is compared with respect to a Solid FE model using the same DOFs, as shown in the first three columns of the Tab.4.…”

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confidence: 99%

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Free-vibration analysis of space vehicle structures made by composite materials

Cavallo

Zappino

Carrera

2018

Composite Structures

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This work investigates the effects of composite materials and non-structural masses on the dynamic behavior of space structure components and whole space vehicle. A refined one-dimensional model has been used in the analyses, and the effects of composite materials and of the fuel mass introduced as non-structural masses have been considered. The adopted refined one-dimensional Finite Element Model has been developed using the Carrera Unified Formulation. This numerical tool allows to develop a variable kinematic displacement field over the beam cross-section, that is, a set of Lagrange (LE) expansions polynomials was adopted for the crosssectional displacement field approximation. The use of such one-dimensional models leads to the so-called component-wise (CW) approach in which stiffeners and plate are modeled using the same one-dimensional kinematic. Static and free vibration analysis of space structural components and complete space structures have been performed. Both compact and thin-walled structural configurations have been considered. The results have been assessed using analytical solutions or refined three-dimensional Finite Element Models. Composite materials and non-structural masses, e.g. the fuel mass or payload, have been included in the analysis. The results show the capability of the present model to provide a quasi three-dimensional solution with a low computational cost. The refined kinematic allows composite materials to be investigated accurately.

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Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Free-vibration analysis of space vehicle structures made by composite materials

Cavallo

Zappino

Carrera

2018

Composite Structures

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“…Carrera et al 2013b, Carrera et al 2013a, Carrera et al 2014band Carrera et al 2015a proposed the static and free vibration analyses of civil buildings and wing structures. Using the CW approach, various complex space structures have been proposed by Carrera et al 2015c for the free vibration analysis of launchers. In the works of , a new approach is used to model damaged aerospace structures, by changing the local stiffness getting various damage configurations in a simple manner.…”

Section: Introductionmentioning

confidence: 99%

Effect of Localized Damages on the Free Vibration Analysis of Civil Structures by Component-Wise Approach

et al. 2018

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Refined one-dimensional, 1D, models are used to carry out free vibration analysis of civil engineering structures affected by local damages. The Carrera Unified Formulation (CUF) provides higher-order structural models to be formulated in a compact and, eventually, hierarchical manner. In the domain of the CUF, refined 1D models characterized by three-dimensional capabilities can be realized by using various function expansions of the generalized displacement field over the cross-section. Recently, a component-wise (CW) approach was introduced by employing CUF. CW gives a detailed physical description of multi-component structures since each component can be modeled with its geometrical and mechanical characteristics; namely, no reference surfaces and axes as well as no homogenization techniques, are employed. In the present work, combinations of quadratic Lagrange elements are used to describe the beam theory kinematics. This approach allows to analyze with high accuracy complex civil structures, such as truss structures, industrial buildings and a multifloor building. In this context, damage scenarios are introduced with no loss of accuracy in the mathematical formulation by deteriorating the single component of the structure. Effect of damages are, thus, evaluated by free vibration analyses.

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“…The use of the component-wise (CW) approach, presented in [27], makes it possible to study very complex structures using a unique one-dimensional formulation. The effectiveness of the CW approach has been shown for both static [27,28] and dynamic [29,30,31] analyses, including the effect of a non structural mass [32].…”

Section: Introductionmentioning

confidence: 99%

Component-wise vibration analysis of stiffened plates accounting for stiffener modes

2017

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This work has the aims to assess and compare the behavior of different Finite Element Models in a free-vibration analysis of reinforced structures. The effects of the aspect-ratio and cross-sectional shape of the stringers have been analyzed using both classical and refined FE. One-and two-dimensional classical finite element models, as well as refined one-dimensional elements, derived using the Carrera Unified Formulation, have been considered in an analysis of reinforced structures. The accuracy and efficiency of these models have been investigated. A three-dimensional model has been used as a reference solution. Three different modeling approaches have been considered in the present work. Two approaches are based on classical models provided by commercial tools: the first uses two-dimensional elements for both a plate and stringers, while the second uses two-dimensional elements to simulate the plate and the beam elements for the stringers. The third approach uses a refined one-dimensional model, based on the Carrera Unified Formulation. This refined one-dimensional model considers a variable kinematic displacement field over the beam cross-section. In the present work, Lagrange polynomials are used to describe the cross-sectional displacement field. The use of a Component-wise modeling approach allows the stiffeners to be modeled as independent entities. The Component-wise approach was first assessed and convergence was then evaluated. The performances of these models in the analysis of reinforced structure were then compared with those from classical models. The use of refined one-dimensional models allows stiffener modes to be investigated. The results show that this approach is comparable to a full threedimensional solution. The use of classical one-and two-dimensional models does not allow the local deformation of reinforcements to be taken into account. Therefore, these models cannot be considered accurate when the aim of the analysis is to investigate the local mode.

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Accurate Free Vibration Analysis of Launcher Structures Using Refined 1D Models

Cited by 8 publications

References 21 publications

Free-vibration analysis of space vehicle structures made by composite materials

Free-vibration analysis of space vehicle structures made by composite materials

Effect of Localized Damages on the Free Vibration Analysis of Civil Structures by Component-Wise Approach

Component-wise vibration analysis of stiffened plates accounting for stiffener modes

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