• Title/Summary/Keyword: higher-order plate

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Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis

  • Vivar-Perez, Juan M.;Duczek, Sascha;Gabbert, Ulrich
    • Smart Structures and Systems
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    • v.13 no.4
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    • pp.587-614
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    • 2014
  • In recent years the interest in online monitoring of lightweight structures with ultrasonic guided waves is steadily growing. Especially the aircraft industry is a driving force in the development of structural health monitoring (SHM) systems. In order to optimally design SHM systems powerful and efficient numerical simulation tools to predict the behaviour of ultrasonic elastic waves in thin-walled structures are required. It has been shown that in real industrial applications, such as airplane wings or fuselages, conventional linear and quadratic pure displacement finite elements commonly used to model ultrasonic elastic waves quickly reach their limits. The required mesh density, to obtain good quality solutions, results in enormous computational costs when solving the wave propagation problem in the time domain. To resolve this problem different possibilities are available. Analytical methods and higher order finite element method approaches (HO-FEM), like p-FEM, spectral elements, spectral analysis and isogeometric analysis, are among them. Although analytical approaches offer fast and accurate results, they are limited to rather simple geometries. On the other hand, the application of higher order finite element schemes is a computationally demanding task. The drawbacks of both methods can be circumvented if regions of complex geometry are modelled using a HO-FEM approach while the response of the remaining structure is computed utilizing an analytical approach. The objective of the paper is to present an efficient method to couple different HO-FEM schemes with an analytical description of an undisturbed region. Using this hybrid formulation the numerical effort can be drastically reduced. The functionality of the proposed scheme is demonstrated by studying the propagation of ultrasonic guided waves in plates, excited by a piezoelectric patch actuator. The actuator is modelled utilizing higher order coupled field finite elements, whereas the homogenous, isotropic plate is described analytically. The results of this "semi-analytical" approach highlight the opportunities to reduce the numerical effort if closed-form solutions are partially available.

A Study on Plate Waste and Nutrient Intake of School Lunches in Elementary School (초등학교급식에서 제공된 음식의 잔식량과 영양섭취 실태에 관한 연구)

  • Kim, June;Ko, Sung-Hee;Kim, Ji-Young;Kim, Heh-Young
    • Journal of the Korean Society of Food Culture
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    • v.15 no.1
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    • pp.29-40
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    • 2000
  • The purposes of this study were to (a) measure plate waste of school lunches, (b) evaluate the nutrients actually consumed by students in elementary school foodservice. The survey was conducted between May 11 and July 1, 1998 through the practical measurement and questionnaires. Statistical data analysis was completed using SAS program for descriptive analysis and T-test. The results were summarized as follows: 1. The mean plate waste of menu group were soup, vegetable side dishes, kimchi, and meat side dish in order. 2. There was little difference between estimation and weighing of plate waste. 3. The satisfaction of children with school lunches were significantly higher for boys(73.55%) than for girls(71.13%). The highest level of the satisfaction was meat side dishes among boys and girls. 4. The majority reasons for leaving leftover were 'too big portion' and 'food is not tasty'. 5. There was significant negative correlation between plate waste and student's satisfaction. In summary, increased satisfaction with school lunches in most menus resulted in decreased plate waste rate. 6. Comparison of $\frac{1}{3}$ RDA, energy, vitamin A and calcium were below recommended allowances for boys while energy vitamin A, calcium and iron were for girls. In general, the nutrient intake was more adequate for boys than girls because of the girl's lower allowances.

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Hydro-thermo-mechanical biaxial buckling analysis of sandwich micro-plate with isotropic/orthotropic cores and piezoelectric/polymeric nanocomposite face sheets based on FSDT on elastic foundations

  • Rajabi, Javad;Mohammadimehr, Mehdi
    • Steel and Composite Structures
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    • v.33 no.4
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    • pp.509-523
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    • 2019
  • In the present work, the buckling analysis of micro sandwich plate with an isotropic/orthotropic cores and piezoelectric/polymeric nanocomposite face sheets is studied. In this research, two cases for core of micro sandwich plate is considered that involve five isotropic Devineycell materials (H30, H45, H60, H100 and H200) and an orthotropic material also two cases for facesheets of micro sandwich plate is illustrated that include piezoelectric layers reinforced by carbon and boron-nitride nanotubes and polymeric matrix reinforced by carbon nanotubes under temperature-dependent and hydro material properties on the elastic foundations. The first order shear deformation theory (FSDT) is adopted to model micro sandwich plate and to apply size dependent effects from modified strain gradient theory. The governing equations are derived using the minimum total potential energy principle and then solved by analytical method. Also, the effects of different parameters such as size dependent, side ratio, volume fraction, various material properties for cores and facesheets and temperature and humidity changes on the dimensionless critical buckling load are investigated. It is shown from the results that the dimensionless critical buckling load for boron nitride nanotube is lower than that of for carbon nanotube. It is illustrated that the dimensionless critical buckling load for Devineycell H200 is highest and lowest for H30. Also, the obtained results for micro sandwich plate with piezoelectric facesheets reinforced by carbon nanotubes (case b) is higher than other states (cases a and c).The results of this research can be used in aircraft, automotive, shipbuilding industries and biomedicine.

Investigation of the behavior of an RC beam strengthened by external bonding of a porous P-FGM and E-FGM plate in terms of interface stresses

  • Zahira Sadoun;Riadh Bennai;Mokhtar Nebab;Mouloud Dahmane;Hassen Ait Atmane
    • Structural Monitoring and Maintenance
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    • v.10 no.4
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    • pp.315-337
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    • 2023
  • During the design phase, it is crucial to determine the interface stresses between the reinforcing plate and the concrete base in order to predict plate end separation failures. In this work, a simple theoretical study of interface shear stresses in beams reinforced with P-FGM and E-FGM plates subjected to an arbitrarily positioned point load, or two symmetrical point loads, was presented using the linear elastic theory. The presence of pores in the reinforcing plate distributed in several forms was also taken into account. For this purpose, we analyze the effects of porosity and its distribution shape on the interracial normal and shear stresses of an FGM beam reinforced with an FRP plate under different types of load. Comparisons of the proposed model with existing analytical solutions in the literature confirm the feasibility and accuracy of this new approach. The influence of different parameters on the interfacial behavior of reinforced concrete beams reinforced with functionally graded porous plates is further examined in this parametric study using the proposed model. From the results obtained in this study, we can say that interface stress is significantly affected by several factors, including the pores present in the reinforcing plate and their distribution shape. Additionally, we can conclude from this study that reinforcement systems with composite plates are very effective in improving the flexural response of reinforced RC beams.

A Study on the Effects of Etching Surface Characteristics on Condensation Heat Transfer in Pre-heating Exchanger (급기 예열 열교환기에서 에칭 표면 특성이 응축 열전달에 미치는 영향에 관한 연구)

  • Seok, Sungchul;Hwang, Seung Sik;Choi, Gyu Hong;Shin, Donghoon;Chung, Tae Yong
    • Journal of Energy Engineering
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    • v.23 no.2
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    • pp.217-222
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    • 2014
  • In order to improve the heat efficiency of the general residential boiler, we performed an experiment of condensation heat transfer to air pre-heating exchanger adhered to the condensing boiler. In this study, surface roughness was imposed on the surface of stainless steel by etching. And in order to evaluate the heat transfer performance on each plate, the counter flow heat exchanger fabricated with polycarbonate in used. As a result, on etching treated plate's overall heat transfer coefficient is higher than the original plate. And etching treated plate during 60 seconds with etchant is the to average 15% compared to bare stainless steel. And we studied the heat transfer enhancement factor through the analysis of surface characteristics using AFM.

Study on Graphite/Polypropylene/Liquid Crystalline Polymer Composite for a Bipolar Plate of Polymer Electrolyte Membrane Fuel Cell (고분자 전해질막 수소 연료 전지 분리판 용 흑연/폴리프로필렌/액정고분자 복합 재료의 특성에 관한 연구)

  • Dhungana, Biraj;Son, Younggon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.5
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    • pp.3627-3632
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    • 2015
  • We investigated mechanical, rheological and electrical properties of graphite/PP/LCP composites for a bipolar plate of the polymer electrolyte membrane fuel cell. The composites containing very low molecular weighted PP showed much higher electrical conductivity compared with other thermoplastics. This was attributed to the enhanced dispersion of graphite particles due to the low viscosity of the PP. The conductivity of the composites was increased in a great extent by incorporation of small amount of carbon nano tube (CNT). However, the acid treated CNT which contains oxygen atoms did not increase the conductivity of the composite. From this result, it is concluded that the CNT has higher affinity with non polar polymer. The composite with low molecular weighted PP provided good processability so that the composites can be processed by an injection molding while the mechanical strength is deficient compared to other polymers. In order to reinforce the low mechanical property, LCP/PP was used as a binder and the graphite/PP/LCP composite showed the higher conductivity and moderate mechanical strength maintaining suitable processability.

A Finite Element Analysis based on Higher-Order Zig-Zag Shell Theory for Laminated Composites with Multiple Delamination (다중 층간 분리부가 내재된 복합재 쉘 고차 지그재그 모델의 유한요소 해석)

  • 오진호;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.229-236
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    • 2004
  • A new three-node triangular shell element based on higher order zig-zag theory is developed for laminated composite shells with multiple delaminations. The present higher order zig-zag shell theory is described in a general curvilinear coordinate system and in general tensor notation. All the complicated curvatures of surface including twisting curvatures can be described in an exact manner in the present shell element because this element is based on geometrically exact surface representation. The displacement field of the proposed finite element includes slope of deflection. which requires continuity between element interfaces. Thus the nonconforming shape function of Specht's three-node triangular plate bending element is employed to interpolate out-of-plane displacement. The present element passes the bending and twisting patch tests in flat surface configurations. The developed element is evaluated through the buckling problems of composite cylindrical shells with multiple delaminations. Through the numerical examples it is demonstrated that the proposed shell element is efficient because it has minimal degrees of freedom per node. The accuracy of the present element is demonstrated in the prediction of buckling loads and buckling modes of shells with multiple delaminations. The present shell element should serve as a powerful tool in the prediction of buckling loads and modes of multi-layered thick laminated shell structures with arbitrary-shaped multiple delaminations.

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A Finite Element Analysis based on Higher-Order Zig-Zag Shell Theory for Laminated Composites Cylinderical Shell with Multiple Delaminations (다중 층간분리부가 있는 복합재 원통쉘의 지그재그 고차이론에 기초한 유한요소 진동해석)

  • Cho Maenghyo;Oh Jinho;Kim Heung-Soo
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.69-72
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    • 2004
  • A new three-node triangular shell element based on higher order zig-zag theory is developed for laminated composite shells with multiple delaminations. The present higher order zig-zag shell theory is described in a general curvilinear coordinate system and in general tensor notation. All the complicated curvatures of surface including twisting curvatures can be described in an exact manner in the present shell element because this element is based on geometrically exact surface representation. The displacement field of the proposed finite element includes slope of deflection, which requires continuity between element interfaces. Thus the nonconforming shape function of Specht's three-node triangular plate bending element is employed to interpolate out-of-plane displacement. The present element passes the bending and twisting patch tests in flat surface configurations. The developed element is evaluated through the eigenvalue problems of composite cylindrical shells with multiple delaminations. Through the numerical examples it is demonstrated that the proposed shell element is efficient because it has minimal degrees of freedom per node. The present shell element should serve as a powerful tool in the prediction of natural frequency and modes of multi-layered thick laminated shell structures with arbitrary-shaped multiple delaminations.

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Free vibration analysis of FGM plates using an optimization methodology combining artificial neural networks and third order shear deformation theory

  • Mohamed Janane Allah;Saad Hassouna;Rachid Aitbelale;Abdelaziz Timesli
    • Steel and Composite Structures
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    • v.49 no.6
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    • pp.633-643
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    • 2023
  • In this study, the natural frequencies of Functional Graded Materials (FGM) plates are predicted using Artificial Neural Network (ANN). A model based on Third-order Shear Deformation Theory (TSDT) and FEM is used to train the ANN model. Different training methods are tested to simulate input and output dependency. As this is a parametric model, several architectures and optimization algorithms were tested. The proposed model allows us to minimize the CPU time to evaluate candidate material properties for FGM plate material selection and demonstrate their influence on dynamic behavior. Consequently, the time required for the FGM design process (candidate materials for material selection) and the geometric optimization of the FGM structure would remain reasonable. The ANN model can help industries to produce FGM plates with good mechanical properties of the selected materials. I addition, this model can be used to directly predict vibration behavior by testing a large number of FGM plates, representing all possible combinations of metals and ceramics in today's industry, without having to solve any eigenvalue problems.

A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

  • Nguyen, Kien T.;Thai, Tai H.;Vo, Thuc P.
    • Steel and Composite Structures
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    • v.18 no.1
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    • pp.91-120
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    • 2015
  • A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates is presented in this paper. It contains only four unknowns, accounts for a hyperbolic distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion are derived from Hamilton's principle. The Navier-type and finite element solutions are derived for plate with simply-supported and various boundary conditions, respectively. Numerical examples are presented for functionally graded sandwich plates with homogeneous hardcore and softcore to verify the validity of the developed theory. It is observed that the present theory with four unknowns predicts the response accurately and efficiently.