• Title/Summary/Keyword: analytical functions

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Free vibration analysis of FG plates under thermal environment via a simple 4-unknown HSDT

  • Attia, Amina;Berrabah, Amina Tahar;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.899-910
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    • 2021
  • A 4-unknown shear deformation theory is applied to investigate the vibration of functionally graded plates under thermal environment. The plate is fabricated from a functionally graded material mixed of ceramic and metal with continuously varying material properties through the plate thickness. Three types of thermal loadings, uniform, linear and nonlinear temperature rises along the plate thickness are taken into account. The present theory contains four unknown functions as against five or more in other higher order shear deformation theories. The through-the-thickness distributions of transverse shear stresses of the plate are considered to vary parabolically and vanish at upper and lower surfaces. The present model does not require any problem dependent shear correction factor. Analytical solutions for the free vibration analysis are derived based on Fourier series that satisfy the boundary conditions (Navier's method). Benchmark solutions are firstly considered to evaluate the accuracy of the proposed model. Comparisons with the solutions available in literature revealed the good capabilities of the present model for the simulations of vibration responses of FG plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.

The Use of Innovative Technologies in Education

  • Stratan-Artyshkova, Tetiana;Bilyk, Ruslana;Vitsukaieva, Kateryna;Drozich, Iryna;Kalimanova, Olha;Vasiutynska, Yelena;Bida, Olena
    • International Journal of Computer Science & Network Security
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    • v.22 no.11
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    • pp.93-100
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    • 2022
  • The use of innovative technologies is one of the promising areas of education development, so the article clarifies the content of the terms "innovation" "pedagogical technology". Our goal is to justify the need to use innovative technologies in education. Innovative technologies are divided into four groups, depending on the appropriate form of educational activity for their use. The development of innovative pedagogical technologies at the present stage of education development should be carried out in accordance with the criteria of technological efficiency, which are presented in the article: scientific; systematic; guaranteed; manageable; mass. Based on the analysis of the process of formation of pedagogical education, the main trends in the information support of teachers in the system of pedagogical education were revealed. Its theoretical and methodological foundations were determined, promising directions and main ways of improving the information support of teachers' education as an organic component of continuous pedagogical education in Ukraine were justified. The conducted study of the state of information support for teachers allowed us to establish that the main functions of scientific and pedagogical information - analytical and predictive, integrative, operational and purposeful informing of various categories of specialists - teachers-are not being implemented enough. This is due to the versatility and complexity of the pedagogical process, the low level and limited range of development of systems of operational differentiated scientific and methodological services for various categories of teachers. Ways to improve the information function of teacher education are determined.

Visualizing Unstructured Data using a Big Data Analytical Tool R Language (빅데이터 분석 도구 R 언어를 이용한 비정형 데이터 시각화)

  • Nam, Soo-Tai;Chen, Jinhui;Shin, Seong-Yoon;Jin, Chan-Yong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2021.05a
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    • pp.151-154
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    • 2021
  • Big data analysis is the process of discovering meaningful new correlations, patterns, and trends in large volumes of data stored in data stores and creating new value. Thus, most big data analysis technology methods include data mining, machine learning, natural language processing, and pattern recognition used in existing statistical computer science. Also, using the R language, a big data tool, we can express analysis results through various visualization functions using pre-processing text data. The data used in this study was analyzed for 21 papers in the March 2021 among the journals of the Korea Institute of Information and Communication Engineering. In the final analysis results, the most frequently mentioned keyword was "Data", which ranked first 305 times. Therefore, based on the results of the analysis, the limitations of the study and theoretical implications are suggested.

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Visualizing Article Material using a Big Data Analytical Tool R Language (빅데이터 분석 도구 R 언어를 이용한 논문 데이터 시각화)

  • Nam, Soo-Tai;Shin, Seong-Yoon;Jin, Chan-Yong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2021.05a
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    • pp.326-327
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    • 2021
  • Newly, big data utilization has been widely interested in a wide variety of industrial fields. Big data analysis is the process of discovering meaningful new correlations, patterns, and trends in large volumes of data stored in data stores and creating new value. Thus, most big data analysis technology methods include data mining, machine learning, natural language processing, and pattern recognition used in existing statistical computer science. Also, using the R language, a big data tool, we can express analysis results through various visualization functions using pre-processing text data. The data used in this study were analyzed for 29 papers in a specific journal. In the final analysis results, the most frequently mentioned keyword was "Research", which ranked first 743 times. Therefore, based on the results of the analysis, the limitations of the study and theoretical implications are suggested.

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On the effect of porosity on the shear correction factors of functionally graded porous beams

  • Ben Abdallah Medjdoubi;Mohammed Sid Ahmed Houari;Mohamed Sadoun;Aicha Bessaim;Ahmed Amine Daikh;Mohamed-Ouejdi Belarbi;Abdelhak Khechai;Aman Garg;Mofareh Hassan Ghazwani
    • Coupled systems mechanics
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    • v.12 no.3
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    • pp.199-220
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    • 2023
  • This article presents a new analytical model to study the effect of porosity on the shear correction factors (SCFs) of functionally graded porous beams (FGPB). For this analysis, uneven and logarithmic-uneven porosity functions are adopted to be distributed through the thickness of the FGP beams. Critical to the application of this theory is a determination of the correction factor, which appears as a coefficient in the expression for the transverse shear stress resultant; to compensate for the assumption that the shear strain is uniform through the depth of the cross-section. Using the energy equivalence principle, a general expression is derived from the static SCFs in FGPB. The resulting expression is consistent with the variationally derived results of Reissner's analysis when the latter are reduced from the two-dimensional case (plate) to the one-dimensional one (beam). A convenient algebraic form of the solution is presented and new study cases are given to illustrate the applicability of the present formulation. Numerical results are presented to illustrate the effect of the porosity distribution on the (SCFs) for various FGPBs. Further, the law of changing the mechanical properties of FG beams without porosity and the SCFare numerically validated by comparison with some available results.

The effect of visco-Pasternak foundation on the free vibration behavior of exponentially graded sandwich plates with various boundary conditions

  • Fatima, Bounouara;Salem Mohammed, Aldosari;Abdelbaki, Chikh;Abdelhakim, Kaci;Abdelmoumen Anis, Bousahla;Fouad, Bourada;Abdelouahed, Tounsi;Kouider Halim, Benrahou;Hind, Albalawi;Abdeldjebbar, Tounsi
    • Steel and Composite Structures
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    • v.46 no.3
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    • pp.367-383
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    • 2023
  • In this investigation, an improved integral trigonometric shear deformation theory is employed to examine the vibrational behavior of the functionally graded (FG) sandwich plates resting on visco-Pasternak foundations. The studied structure is modelled with only four unknowns' variables displacements functions. The simplicity of the developed model being in the reduced number of variables which was made with the help of the use of the indeterminate integral in the formulation. The current kinematic takes into consideration the shear deformation effect and does not require any shear correction factors as used in the first shear deformation theory. The equations of motion are determined from Hamilton's principle with including the effect of the reaction of the visco-Pasternak's foundation. A Galerkin technique is proposed to solve the differentials governing equations, which enables one to obtain the semi-analytical solutions of natural frequencies for various clamped and simply supported FG sandwich plates resting on visco-Pasternak foundations. The validity of proposed model is checked with others solutions found in the literature. Parametric studies are performed to illustrate the impact of various parameters as plate dimension, layer thickness ratio, inhomogeneity index, damping coefficient, vibrational mode and elastic foundation on the vibrational behavior of the FG sandwich plates.

A Study on a Measure of Asset Management Information Systems for Highway Transportation Facilities using AHP (계층적 분석기법을 이용한 도로시설 자산관리정보시스템 평가에 관한 연구)

  • Jeong, Seong Yun;Choi, Won Sik;Kim, Woo Je
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.6D
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    • pp.663-673
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    • 2010
  • We are developing asset management information systems to introduce the preventive/proactive approach at operation and management (O&M) of infrastructures. The objective of this study is to explore the future direction for development and operation of asset management information systems. So, we developed the success model and selected the evaluation criteria for analyzing user satisfaction to assess the expected performance of asset management information systems and the degree of impact on asset management functions to operation and management of highway transportation facilities. We estimated the relative importance weight according to the selected evaluation criteria through AHP analysis. We verified the logical consistency of the importance weight and exclude biased outlier from importance weight group using the concept of the Compatibility.

Porosity-dependent vibration investigation of functionally graded carbon nanotube-reinforced composite beam

  • Abdulmajeed M. Alsubaie;Ibrahim Alfaqih;Mohammed A. Al-Osta;Abdelouahed Tounsi;Abdelbaki Chikh;Ismail M. Mudhaffar;Saeed Tahir
    • Computers and Concrete
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    • v.32 no.1
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    • pp.75-85
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    • 2023
  • This work utilizes simplified higher-order shear deformation beam theory (HSDBT) to investigate the vibration response for functionally graded carbon nanotube-reinforced composite (CNTRC) beam. Novel to this work, single-walled carbon nanotubes (SWCNTs) are distributed and aligned in a matrix of polymer throughout the beam, resting on a viscoelastic foundation. Four un-similar patterns of reinforcement distribution functions are investigated for the CNTRC beam. Porosity is another consideration taken into account due to its significant effect on functionally graded materials (FGMs) properties. Three types of uneven porosity distributions are studied in this study. The damping coefficient and Winkler's and Pasternak's parameters are considered in investigating the viscosity effect on the foundation. Moreover, the impact of different parameters on the vibration of the CNTRC beam supported by a viscoelastic foundation is discussed. A comparison to other works is made to validate numerical results in addition to analytical discussions. The findings indicate that incorporating a damping coefficient can improve the vibration performance, especially when the spring constant factors are raised. Additionally, it has been noted that the fundamental frequency of a beam increases as the porosity coefficient increases, indicating that porosity may have a significant impact on the vibrational characteristics of beams.

Buckling of FGM elliptical cylindrical shell under follower lateral pressure

  • Moradi, Alireza;Poorveis, Davood;Khajehdezfuly, Amin
    • Steel and Composite Structures
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    • v.45 no.2
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    • pp.175-191
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    • 2022
  • A review of previous studies shows that although there is a considerable difference between buckling loads of structures under follower and non-follower lateral loads, only the buckling load of FGM elliptical cylindrical shell under non-follower lateral load was investigated in the literature. This study is the first to obtain the buckling load of elliptical FGM cylindrical shells under follower lateral load and also make a comparison between buckling loads of elliptical FGM cylindrical shells under follower and non-follower lateral loads. Moreover, this research is the first one to derive the load potential function of elliptical cylindrical shell. In this regard, the FGM cylindrical elliptical shell was modeled using the semi-analytical finite strip method and based on the First Shear Deformation Theory (FSDT). The shell is discretized by strip elements aligned in the longitudinal direction. The Lagrangian and harmonic shape functions were considered in the circumference and longitudinal directions, respectively. The buckling pressure of the shell under follower and non-follower lateral loads was obtained from eigenvalue problem. The results obtained from the model were compared with those presented in the literature to evaluate the validity of the model. A comparison index was defined to compare the buckling loads of the shell under follower and non-follower lateral load. A parametric study was carried out to investigate the effects of material properties and shell geometry characteristics on the comparison index. For the elliptical cylindrical shells with length-to-radius ratio greater than 16 and major-to-minor axis ratio greater than 0.6, the comparison index reaches to more than 20 percent which is significant. Moreover, the maximum difference is about 30 percent in some cases. The results obtained from the parametric study indicate that the buckling load of long elliptical cylindrical shell under non-follower load is not reliable.

Shear correction factors of a new exponential functionally graded porous beams

  • Mohammed Sid Ahmed Houari;Aicha Bessaim;Tarek Merzouki;AhmedAmine Daikh;Aman Garg;Abdelouahed Tounsi;Mohamed A. Eltaher;Mohamed-Ouejdi Belarbi
    • Structural Engineering and Mechanics
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    • v.89 no.1
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    • pp.1-11
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    • 2024
  • This article introduces a novel analytical model for examining the impact of porosity on shear correction factors (SCFs) in functionally graded porous beams (FGPB). The study employs uneven and logarithmic-uneven modified porosity-dependent power-law functions, which are distributed throughout the thickness of the FGP beams. Additionally, a modified exponential-power law function is used to estimate the effective mechanical properties of functionally graded porous beams. The correction factor plays a crucial role in this analysis as it appears as a coefficient in the expression for the transverse shear stress resultant. It compensatesfor the assumption that the shear strain is uniform across the depth of the cross-section. By applying the energy equivalence principle, a general expression for static SCFs in FGPBs is derived. The resulting expression aligns with the findings obtained from Reissner's analysis, particularly when transitioning from the two-dimensional case (plate) to the one-dimensional case (beam). The article presents a convenient algebraic form of the solution and provides new case studies to demonstrate the practicality of the proposed formulation. Numerical results are also presented to illustrate the influence of porosity distribution on SCFs for different types of FGPBs. Furthermore, the article validates the numerical consistency of the mechanical property changesin FG beams without porosity and the SCF by comparing them with available results.