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1

Strength analysis of sandwich beams with linear elastic inner layer

Kimura Koichi

Journal of Applied Mathematics and Computational Mechanics

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2022

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Vol. 21, nr 3

31--44

EN

A waterproof or water-resistant sandwich structure which consists of housing chassis and a gasket requires that gasket contact pressure, which depends on bolt axial force, is greater than the design minimum pressure on the entire circumference. However, it is also necessary that gasket contact pressure is smaller than the maximum permissible gasket pressure. If the maximum stress in chassis can be calculated from bolt axial force, gasket specifications and chassis stiffness, it is helpful for a design of such waterproof structures. In this study, chassis have been regarded as Bernoulli-Euler beams, and two simple numerical methods have thus been derived. Numerical results using the proposed method are sufficiently converged even in case that the number of partitions is about 10.

2

Experimental validation of a novel thin-walled beam prototype

Silva H. M., Meireles J. F., Wojewoda J.

Mechanics and Mechanical Engineering

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2018

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Vol. 22, nr 1

7--23

EN

In this paper, an experimental validation of a novel beam prototype is performed. Tensile tests, both until rupture and on the elastic domain were done in order to determine the material properties. They were used then in Finite Element Analysis model built in ANSYS Mechanical APDL. Three experimental tests were done to the prototype, and, in order to minimize errors, the average value of the three tests determined, and compared with results obtained from the numerical model. It was shown that it was possible to manufacture the beam by the presented manufacturing methodology. An acceptable correlation between the numerical an experimental results was found.

3

Numerical study on the mechanical behaviour of hollow-box beams subjected to static loading

Silva H. M., Meireles J. F.

Mechanics and Mechanical Engineering

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2017

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Vol. 21, nr 4

871--884

EN

Novel types of internally reinforced thin-walled beams are subjected to a feasibility analysis in terms of their effective mechanical behaviour. The novel beams are subjected to bending and torsion uncoupled loadings and are analysed in terms of their stiffness behaviour in static analysis. The models were built using the commercial Finite Element Method (FEM) software ANSYS Mechanical APDL. The feasibility of the models was determined by the comparison of the stiffness behaviour of the novel beams with simple hollow-box beams, having the same mass and dimensions, with the exception of the thickness. An efficiency parameter is used in order to determine the feasibility of the studied geometries. It is found that the novel geometries represent a great improvement under bending loading, better than under torsion loading. Nevertheless, for bending and torsion combined loadings, if bending loads are predominant, the beams can still be interesting for some applications, in particular those with mobile parts.

4

Comparative effectiveness of the mechanical behaviour of sandwich beams under uncoupled bending and torsion loadings

Silva H. M., Meireles J. F.

Mechanics and Mechanical Engineering

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2017

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Vol. 21, nr 4

855--869

EN

Sandwich geometries, mainly panels and beams, are widely used in several transportation industries, namely aerospace, aeronautic and automotive. Sandwich geometries are known for their advantages in structural applications: high specific stiffness, low weight, and possibility of design optimization prior to manufacturing. This study aims to know the influence of the number of reinforcements (ribs), and of the thickness on the mechanical behaviour of sandwich beams subjected to bending and torsion uncoupled loadings. In this study, four geometries are compared: simple web-core beam, corrugated core, honeycomb core, and joined honeycomb core. The last three are asymmetric, due to the use of odd number of ribs. The influence of the geometry on the results is discussed by means of a parameter that establishes a relation between the stiffness behaviour and the mass of the object. It is shown that all relations are non-linear, despite the elastic nature of the analysis in both the FEM software and in the practical application.

5

The influence of geometric imperfections on the stability of three-layer beams with foam core

Wstawska I.

Archives of Mechanical Technology and Materials

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2017

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Vol. 37

65--69

EN

The main objective of this work is the numerical analysis (FE analysis) of stability of three-layer beams with metal foam core (alumina foam core). The beams were subjected to pure bending. The analysis of the local buckling was performed. Furthermore, the influence of geometric parameters of the beam and material properties of the core (linear and non-linear model) on critical loads values and buckling shape were also investigated. The calculations were made on a family of beams with different mechanical properties of the core (elastic and elastic-plastic material). In addition, the influence of geometric imperfections on deflection and normal stress values of the core and the faces has been evaluated.

6

Modelowanie belek pięciowarstwowych

Magnucki K., Jasion P., Smyczyński M.

Modelowanie Inżynierskie

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2012

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T. 14, nr 45

90--98

PL

W pracy przedstawiono model belki trójwarstwowej, w którym uwzględniono cienkie warstwy kleju łączące okładziny z rdzeniem. Sformułowano całkowitą energię potencjalną belki, a z zasady stacjonarności tej energii wyznaczono układ równań różniczkowych równowagi. Układ ten rozwiązano i wyznaczono ugięcie belki. Wyniki rozwiązania analitycznego porównano z wynikami numerycznymi MES. Zamieszczono przegląd literatury z uwzględnieniem współczesnych badań.

EN

The subject of the paper is an analysis of deflection of a five layer sandwich beam. The mechanical and physical properties vary through the thickness of the beam and depend on the material of each layer, which are: the metal face, binding material (the glue) and metal foam core. The main aim of the paper is to present an analytical model of the five layer beam and to compare the results of the analyses obtained theoretically and numerically. Moreover, the proposed model is compared with a three layer sandwich beam model. In the paper a mathematical model of the field of displacements, which include a share effect and a bending moment, is presented. The system of partial differential equations of equilibrium for the five layer sandwich beam is derived on the basis of the principle of stationary total potential energy. The equations are analytically solved and deflection is obtained. The influence of the binding layer thickness and Young’s modulus on the value of deflection is analysed. Comparison of the results obtained in the analytical and numerical (MES) analysis are shown in graphs and figures.

7

Wytrzymałość i stateczność belek - słupów trójwarstwowych

Magnucki K.

Modelowanie Inżynierskie

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2011

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T. 11, nr 42

249-258

PL

Przedmiotem pracy są belki-słupy trójwarstwowe poddane zginaniu lub osiowemu ściskaniu. Przedstawiono dwa modele belki-słupa trójwarstwowego. Równania równowagi dla obu modeli zapisano, korzystając z zasady stacjonamości całkowitej energii potencjalnej. Wyznaczono ugięcia oraz naprężenia w badanych belkach. Sformułowano i rozwiązano problem wyboczenia ogólnego słupów. Wyniki rozwiązań analitycznych porównano z badaniami numerycznymi MES, a także z eksperymentem dla wyboczenia ogólnego.

EN

The subject of the paper are sandwich beams loaded in four-point bending or axially compressed. Two models of the beams are presented. The equation of equilibrium is obtained based on the principle of stationary total potential energy. The analytical solution of this equation is composed of hyperbolic functions. Numerical calculations are realized for a family of sandwich beams with different mechanical properties of the core. Moreover, FEM investigations are realized. Results of both methods for global buckling are compared with experimental tests.

8

Wyboczenie-zmarszczenie okładziny belki trójwarstwowej przy czystym zginaniu

Jasion P., Magnucki K.

Modelowanie Inżynierskie

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2011

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T. 10, nr 41

151-156

PL

Przedmiotem pracy są belki trójwarstwowe poddane czystemu zginaniu. Opisano i rozwiązano problem wyboczenia-zmarszczenia okładziny ściskanej. Równanie równowagi wyznaczono z zasady stacjonarności całkowitej energii potencjalnej, którego całką są funkcje hiperboliczne. Badania numeryczne przeprowadzono dla rodziny belek o różnych właściwościach mechanicznych rdzenia. Ponadto przeprowadzono badania numeryczne MES. Obciążenia krytyczne otrzymane z obu metod zestawiono w tabelach i na wykresach.

EN

The subject of the paper are sandwich beams under pure bending. The problem of buckling-wrinkling of a compression face is described and solved. The equation of equilibrium is obtained based on the principle of stationary total potential energy. The analytical solution of this equation is composed of hyperbolic functions. Numerical calculations are realized for a family of sandwich beams with different mechanical properties of the core. Moreover, FEM investigations are realized. Results of both methods are compared and presented in tables and figures.

9

Badania numeryczne i doświadczalne nośności granicznej belek trójwarstwowych

Zielnica J., Paczos P.

Modelowanie Inżynierskie

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2011

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T. 10, nr 41

463-468

PL

Niniejsza praca dotyczy badań doświadczalnych i nieliniowej (fizycznie i geometrycznie) analizy numerycznej z wykorzystaniem metody elementów skończonych, nośności granicznej belek trójwarstwowych z rdzeniem z pianki metalicznej poddanych zginaniu. Opisano i poddano analizie, oparty na metodzie elementów skończonych, model płytowo-belkowy, dla którego wyznaczono obciążenia graniczne i krytyczne jako wynik utraty stateczności.

EN

The paper deals with experimental and numerical investigations on limit load of sandwich beams under bending. The finite element method model of the beam-plate is formulated and critical and limit loads are calculated. The experimental tests have been carried out in the laboratory using especially designed test stand and strength test machine. Moreover, experimental investigations were carried out for the family of sandwich beam-plates. The results of these two investigation methods are compared and presented in diagrams.

10

Symulacja rozpraszania energii drgań w trójwarstwowej belce z cieczą MR

Snamina J.

Modelowanie Inżynierskie

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2010

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T. 9, nr 40

217-224

PL

Praca dotyczy analizy rozpraszania energii drgań w trójwarstwowej belce z cieczą MR. Belka składa się z dwóch zewnętrznych warstw aluminiowych oraz warstwy wewnętrznej, którą stanowi ciecz MR. W pracy wykorzystano model rozkładu cząstek ferromagnetycznych w warstwie MR znajdującej się w jednorodnym polu magnetycznym. Przedstawiono pewną metodę oszacowania zespolonego modułu sztywności poprzecznej warstwy MR oraz zaproponowano metodę wyznaczania energii rozpraszanej w poszczególnych fragmentach belki. Wykonano obliczenia rozpraszania energii wzdłuż całej długości belki. Wyniki obliczeń przedstawiono w formie wykresów.

EN

In the work a three-layered beam incorporating a magnetorheological (MR) fluid was considered. The beam consists of two outer layers made of aluminium and a MR fluid layer placed in between. The estimation of complex shear modulus was proposed based on body-centred-tetragonal model of distribution of magnetic particles. Using finite element model the dissipation of energy along the beam was determined. Results of calculations were presented in graphs.

11

Mshhnihst' ta deformashhjjnihst' trisharovikh zalihzobetonnikh balkovikh konstrukcihjj ihz zovnihshnihm listovim armuvannjam

Barabash V. M., Shmig R.

Zeszyty Naukowe Politechniki Rzeszowskiej. Budownictwo i Inżynieria Środowiska

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2000

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z. 32[180], cz.1

25-32

EN

The thesis comprising the experimental theoretical investigations of new common and preliminary tensed complex concrete reinforced constructions. The basis of the suggested solution is the panel construction which is composed of the reinforced pressed up layer and the stretched lower layer reinforced with the external band skeleton frame construction, the space between which is filled with the light heat isolation keramzite-concrete. It was estimated that the great importance for the proper work with the bend three-layer steel concrete constructions is the connection between the layers of different concrete, the presence of space frame systems on the supporting and the bend anchors in their flight of cutting. The suggested mathematic model according to the method of final elements defines the tense-deformed state of the complex concrete reinforced constructions regarding the real programs of materials deformation at all loading stages.

12

Analiza komputerowa momentów zginających i sił poprzecznych w belkach trójwarstwowych

Krykowski T.

Zeszyty Naukowe. Budownictwo / Politechnika Śląska

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1998

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z. 85

43-50

PL

Tematem artykułu jest analiza numeryczna belek trójwarstwowych, realizowana przy wykorzystaniu programu komputerowego ANSYS. Zagadnienie rozwiązuje się wykorzystując opis belki jako kontinuum dwuwymiarowego warstwowego.

EN

The subjects of the article is numerical analysis of three layer beams, carried out by means of the computer program ANSYS. The problem has been solved using the description of the beam as two dimensional layered continuum.