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EN
Purpose: The study of cracks behaviour in a composite plate is of significant importance in the dynamics of the Mechanical parts in order to avoid design failures due to resonance or high amplitude vibrations. Design/methodology/approach: In this paper, a square glass-epoxy composite plate is adopted. The plate has four layers with symmetric and asymmetric lamination. Assuming the cracks are profound as defects. The results were obtained by using a numerical solution of mechanical APDL from ANSYS. Findings: It has been found for different boundary conditions that the rank of natural frequencies is decreased by increasing the crack ratio due to the reduction of the plate’s stiffness, whereas the crack direction has no mentioned effect for a small angle of rotation. Research limitations/implications: The accuracy of results is verified by comparing a single case of the current work with other previous investigations. value: Evaluate the influence of the crack length ratio, angle of the crack rotation, boundary conditions and lamination angles on the natural frequencies of the square composite plate with glass-epoxy materials.
2
Content available remote Trwałość gzymsów mostowych z płyt z betonu polimerowego i laminatu
PL
Gzymsy w mostach w sposób istotny wpływają na ich trwałość. Z tego względu tak ważna jest ich poprawna konstrukcja, która powinna dobrze zabezpieczać przęsło przed negatywnym oddziaływaniem środowiska przez maksymalnie długi okres i być odporna na czynniki zewnętrzne. Obecnie w Polsce są powszechnie wykonywane gzymsy z prefabrykowanych płyt z betonu polimerowego oraz z laminatu. W artykule wskazano na zagrożenia trwałości gzymsów. Udokumentowano je przykładami uszkodzeń gzymsów, które pojawiły się już po kilku latach eksploatacji mostów.
EN
Cornices in bridges significantly affect the durability of the structure. For this reason, their proper construction is so important, as it should protect the span well against the negative effects of the environment for the longest possible period and be resistant to external factors. Currently, in Poland, cornices are commonly made with the use of prefabricated polymer concrete plates and laminate panels. The article indicates the threats to the durability of such cornices. These threats have been documented with examples of damage to this type of cornices, which appeared just after several years.
EN
The static load model of laminate with the hygrothermal load is considered in the paper. The corresponding ply properties are calculated using Mori-Tanaka method. A parametric study is conducted by varying the fiber volume fraction in one laminate layer and the fiber orientation of the angle plies in the laminate. The internal forces of laminate plate with symmetric and unsymmetric stacking of layers are investigated.
4
Content available remote Elastic modules identification by layered composite beams testing
EN
Purpose: The study aims to predict elastic properties of composite laminated plates from the measured mechanical properties. Design/methodology/approach: Elastic constants of laminates and damping properties have been determined by using an identification procedure based on experiment design, and multi-level theoretical approach. Findings: The present paper is the first attempt at proposing a novel adaptive procedure to derive stiffness parameters from forced sandwich plate’s vibration experiments. Research limitations/implications: In the future the extension of the present approach to sandwich plates with different core materials will be performed in order to test various experimental conditions. Practical implications: Structures composed of laminated materials are among the most important structures used in modern engineering and especially in the aerospace industry. Such lightweight and highly reinforced structures are also being increasingly used in civil, mechanical and transportation engineering applications. Originality/value: The main advantage of the present method is that it does not rely on strong assumptions on the model of the plate. The key feature is that the raw models can be applied at different vibration conditions of the plate by a suitable analytical ore approximation method
PL
W artykule przedstawiono wyniki badań symulacyjnych wpływu liczby warstw laminatu na jego wytrzymałość przy zginaniu z uwzględnieniem wpływu współczynnika wzmocnienia. Modelowanie wyżej wspomnianej zależności przeprowadzono z zastosowaniem zastępczych modeli jednowarstwowych (ESL) [1], które bazują głównie na klasycznej teorii płyt laminowanych oraz na teorii ścinania pierwszego rzędu. Przyjmując, że warstwy laminatu są jednakowe, wyniki symulacji wykazują, że laminat czterowarstwowy powinien posiadać największą wytrzymałość na zginanie. Będą prowadzone dalsze badania w celu weryfikacji otrzymanych wyników.
EN
This paper presents results of tests focused on investigating the relation between number of layers of laminate and its bending strength considering the influence of enforcement ratio. Methods used for modelling the relation between number of layers of laminate and its strength in bending are based mainly on classical laminated plate theory and first-order shear deformation theory. The obtained results need to be verified by the higher-order shear deformation theory, the layer-wise theory and by an experiment.
EN
The work deals with modelling of material degradation in piezoelectric fiber composite (PFC) layers, which operate as actuators in active laminated plates. The considered degradation process concerns reduction of the matrix material stiffness and is described based on the functionally graded material approach. It is assumed that distribution of the matrix damage, which develops at the outer surface of the actuator layer and progresses toward its inner part, can be approximated according to a power function. The dynamic analysis and calculations are focused on changes in the natural frequencies and amplitude-frequency characteristics of the active laminated plate depending on the degradation level.
PL
Praca dotyczy modelowania degradacji materiałowej w warstwach piezokompozytowych stosowanych jako aktuatory w aktywnych płytach laminowanych. Rozważany proces degradacji ograniczono do redukcji sztywności osnowy i opisano zgodnie z koncepcją materiału gradientowego. Założono, że rozkład uszkodzenia osnowy, które rozwija się na powierzchni zewnętrznej warstwy aktuatora i rozszerza do jej wnętrza, można w przybliżeniu opisać funkcją potęgową. Analizę dynamiczną i obliczenia ukierunkowano na określenie zmian częstości drgań własnych i charakterystyk amplitudowo-częstotliwościowych badanej aktywnej płyty w zależności od zakresu degradacji osnowy.
EN
The aim of the present study is to develop models of active laminated plates containing monolithic piezopolymer sensor layers and a new type of actuator layers made of functionally graded piezoelecrtic material (FGPM). The electromechanical properties of the FGPM actuators can be tailored varying the piezoceramic volume fraction across the thickness during the manufacturing process. Two types of FGPM actuator are under consideration. The first is represented by a multi-layered actuator stacked of distinct piezoelectric fiber composite (PFC) laminae, which differ each other with an amount of piezoceramic (PZT) fibers to change its electromechanical properties quasi continuously according to a power low. In the second case two-phase material being a mixture of piezoceramics and matrix material (e.g. polymer or epoxy resin) is examined. Three distribution functions, which describe the gradient of volume fraction constituents, are considered: exponential, parabolic and sigmoid. The analysis and numerical simulations are focused on the relationship between the material compositional gradient and electromechanical properties and also dynamic responses of the structure. The effective properties of the FGPM, i.e. the Young's modulus and piezoelectric coefficient gradations, are determined. The dynamic analysis concerns steady-state behaviour of rectangular symmetrically laminated plates due to the classical plate theory. The numerical simulations are performed to recognize the influence of the applied pattern of the piezoceramic fraction distribution and its parameters on the gradient of elastic and piezoelectric properties across the FGPM actuators and, as the final result, the active plate structural response presented in terms of amplitude-frequency characteristics. The changes in both the natural frequencies and resonant amplitudes are compared and the influence of the piezoceramic gradation on the control system operational effectiveness is also discussed.
9
Content available remote Nonlinear flexural analysis of laminated composite plates
EN
The paper presents an analytical-numerical solution of the nonlinear flexural response of the moderately thick laminated co-rectangular plates subjected to mechanical and thermo-mechanical loadings. It also investigates the effects of non-linear elastic supports on flexural response of laminated composite plates. The problem is formulated using higher order shear deformation theory (HSDT) and von Karman's nonlinearity. The governing nonlinear coupled partial differential equations are linearized utilizing quadratic extrapolation technique. The spatial descretisation of the linear differential equations is carried out using the fast converging finite double Chebyshev series. Numerical results depicting the central displacements and moments of laminated composite plates for different boundary conditions are presented. Effects of plate geometry, elastic foundation parameters, and temperature dependent mechanical and thermal properties of material on the flexural response are presented.
10
Content available remote Dynamic rigidity and loss factor prediction for composite layered panel
EN
Purpose: The study aims to predict the dynamic rigidity and loss factor properties of composite laminated plates. Design/methodology/approach: Dynamic rigidity and loss factor properties have been determined by using a numerical schemes based on multi-level theoretical approach. Findings: The present paper is the first attempt at proposing a novel adaptive procedure to derive dynamic rigidity and damping parameters for sandwich plate’s vibration. Research limitations/implications: In the future the extension of the present approach to sandwich plates with different core materials will be performed in order to test various sandwich design. Practical implications: Structures composed of laminated materials are among the most important structures used in modern engineering and especially in the aerospace industry. Such lightweight and highly reinforced ructures are also being increasingly used in civil, mechanical and transportation engineering applications. Originality/value: The main advantage of the present method is that it does not rely on strong assumptions on the model of the plate. The key feature is that the raw models can be applied at different vibration conditions of the plate by a suitable analytical or approximation method
PL
W pracy przedstawiono analizę porównawczą wybranych modeli obliczeniowych płyt warstwowych, zgodnych z koncepcją zastępczego modelu jednowarstwowego (Equivalent Single Layer - ESL). Rozważono trzy modele bazujące na teorii ścinania pierwszego rzędu: dwa modele autorskie oraz model paneli laminowanych dostępny w systemie MSC/NASTRAN. Zróżnicowanie modeli wynika z odmiennego podejścia do tzw. korekty ścinania. Przeprowadzono obliczenia dla szeregu przykładów testowych dostępnych w literaturze. Jeśli było to możliwe, dokonano porównań z innymi modelami typu ESL, zwłaszcza bazującymi na teorii ścinania wyższych rzędów. Analizę ograniczono do statyki liniowej.
EN
The aim of the paper is to evaluate the performance of several equivalent single-layer models in the framework of linear static analysis of multilayered plates. The effectiveness of approaches based on the first-order as well as on the higherorder shear deformation theories is discussed. Special attention is paid to various techniques of shear correction, which is required in the case of first-order shear deformation based models. To test the efficiency of several shear correction methods, the authors perform computations with their own programs and commercial package MSC/Nastran.
12
Content available remote Loss factor prediction for laminated plates
EN
Purpose: The study aims to predict the loss factor properties of composite laminated plates. Design/methodology/approach: Elastic constants of laminates and damping properties have been determined by using an identification procedure based on multi-level theoretical approach. Findings: The present paper is the first attempt at proposing a novel adaptive procedure to derive loss factor parameters for sandwich plate's vibration. Research limitations/implications: In the future the extension of the present approach to sandwich plates with different core materials will be performed in order to test various sandwich design. Practical implications: Structures composed of laminated materials are among the most important structures used in modern engineering and especially in the aerospace industry. Such lightweight and highly reinforced structures are also being increasingly used in civil, mechanical and transportation engineering applications. Originality/value: The main advantage of the present method is that it does not rely on strong assumptions on the model of the plate. The key feature is that the raw models can be applied at different vibration conditions of the plate by a suitable analytical or approximation method.
PL
Określenie "szkło organiczne" stosowane było dotychczas zwyczajowo do płyt i wyrobów z polimetakrylanu metylu (PMM) i nazywane potocznie "Plexi" lub "Plexiglas". Wyroby te stosowane są głównie w przemyśle reklamowym, w produkcji wyrobów galanteryjnych i znacznie rzadziej w budownictwie.
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