• Title/Summary/Keyword: fundamental solution.

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A Boundary Integral Equation Formulation for an Unsteady Anisotropic-Diffusion Convection Equation of Exponentially Variable Coefficients and Compressible Flow

  • Azis, Mohammad Ivan
    • Kyungpook Mathematical Journal
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    • v.62 no.3
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    • pp.557-581
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    • 2022
  • The anisotropic-diffusion convection equation with exponentially variable coefficients is discussed in this paper. Numerical solutions are found using a combined Laplace transform and boundary element method. The variable coefficients equation is usually used to model problems of functionally graded media. First the variable coefficients equation is transformed to a constant coefficients equation. The constant coefficients equation is then Laplace-transformed so that the time variable vanishes. The Laplace-transformed equation is consequently written as a boundary integral equation which involves a time-free fundamental solution. The boundary integral equation is therefore employed to find numerical solutions using a standard boundary element method. Finally the results obtained are inversely transformed numerically using the Stehfest formula to get solutions in the time variable. The combined Laplace transform and boundary element method are easy to implement and accurate for solving unsteady problems of anisotropic exponentially graded media governed by the diffusion convection equation.

ON THE STABILITY OF DIFFERENTIAL SYSTEMS INVOLVING 𝜓-HILFER FRACTIONAL DERIVATIVE

  • Limpanukorn, Norravich;Ngiamsunthorn, Parinya Sa;Songsanga, Danuruj;Suechoei, Apassara
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.513-532
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    • 2022
  • This paper deals with the stability of solutions to 𝜓-Hilfer fractional differential systems. We derive the fundamental solution for the system by using the generalized Laplace transform and the Mittag-Leffler function with two parameters. In addition, we obtained some necessary conditions on the stability of the solutions to linear fractional differential systems for homogeneous, non-homogeneous and non-autonomous cases. Numerical examples are also given to illustrate the behavior of solutions.

Application of artificial intelligence for solving the engineering problems

  • Xiaofei Liu;Xiaoli Wang
    • Structural Engineering and Mechanics
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    • v.85 no.1
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    • pp.15-27
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    • 2023
  • Using artificial intelligence and internet of things methods in engineering and industrial problems has become a widespread method in recent years. The low computational costs and high accuracy without the need to engage human resources in comparison to engineering demands are the main advantages of artificial intelligence. In the present paper, a deep neural network (DNN) with a specific method of optimization is utilize to predict fundamental natural frequency of a cylindrical structure. To provide data for training the DNN, a detailed numerical analysis is presented with the aid of functionally modified couple stress theory (FMCS) and first-order shear deformation theory (FSDT). The governing equations obtained using Hamilton's principle, are further solved engaging generalized differential quadrature method. The results of the numerical solution are utilized to train and test the DNN model. The results are validated at the first step and a comprehensive parametric results are presented thereafter. The results show the high accuracy of the DNN results and effects of different geometrical, modeling and material parameters in the natural frequencies of the structure.

KOREAN REAL ESTATE MARKET AND BOOSTING POLICIES : FOCUSING ON MORTGAGE LOANS

  • Sungjoo Hwang;Moonseo Park;Hyun-Soo Lee
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1015-1022
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    • 2009
  • Currently, Korean real estate market has experienced cooling down of the business because of the global economic crisis which resulted from the subprime mortgage lending practice. In response, the Korean government has enforced various policies at the base of deregulating real estate speculation, such as increasing Loan to value ratio (LTV) in order to stimulate housing demand and supply. However, these policies seemed to result in deep confusion in the Korean housing market. Furthermore, analysis for housing market forecasting, especially international financial crisis on Korean real estate market, has been partial and fragmentary, therefore comprehensive solution and systematical approach is required to analyze the real estate and real estate financial market including causal nexus between market determining factors. In an integrated point of view, applying the system dynamics modeling, the paper aims at proposing Korean Real Estate and Mortgage market dynamics models based on fundamental principles of housing market determined by supply and demand. We also find the impact of deregulation policies focusing on mortgage loan which is the main factors of policies.

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Dynamic results of GNPRC sandwich shells

  • E. Mohammad-Rezaei Bidgoli;M. Arefi
    • Steel and Composite Structures
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    • v.48 no.3
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    • pp.263-273
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    • 2023
  • This paper investigates dynamic characteristics of a graphene nanoplatelets reinforced composite (GNPRC) sandwich doubly curved shell based on the first-order shear deformation theory (FSDT) and Hamilton's principle. The sandwich doubly curved shell is fabricated from a core made of honeycomb materials sandwiched by composite GNPs reinforced face-sheets. Effective materials properties of composite face-sheets are assumed to vary based on Halpin-Tsai micromechanical models and rule of mixture. Furthermore, the material properties of honeycomb core are estimated using Gibson's formula. The fundamental frequencies of the shell are computed with changes of main geometrical and material properties such as amount and distribution type of graphene nanoplatelets, side length ratio, thickness to length ratio of and side length ratio of honeycomb. The Navier's technique is presented to obtain responses. Accuracy and trueness of the present model and analytical solution is confirmed through comparison of the results with available results in literature. It is concluded that an increase in thickness to length ratio yields a softer core with lower natural frequencies. Furthermore, increase in height to length ratio leads to significant decrease in natural frequencies.

A Study on Electronic Copyright Management System for Digital Contents (디지털 정보의 전자저작권관리시스템에 관한 연구)

  • Hong, Jae-Hyun
    • Journal of Korean Library and Information Science Society
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    • v.32 no.1
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    • pp.171-200
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    • 2001
  • Electronic Copyright Management System is the technical solution to protect copyright and to manage the distribution of digital contents in network environment. This paper examined the theoretical plane of Electronic Copyright Management System and analyzed the characteristics and the protection technologies of some of the commercial systems. And this paper investigated the essential protection technologies and payment systems that is needed to develop and manage the successful system in the future. Finally this study suggested the fundamental function model of Electronic Copyright Management System.

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Creation of High-Quality Abstractions in Software Engineering

  • Alexey Razumowsky
    • International Journal of Computer Science & Network Security
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    • v.23 no.7
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    • pp.193-201
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    • 2023
  • Abstraction is the cornerstone of ideal software engineering (SWE). This paper discusses a problem of forming reasonable generalizations, representations and descriptions in various software development processes through the prism of poor-quality (rash, unconsidered, uncertain and harmful) abstractions. To do this, emphasis is made on an induced strategic connection between the required abstraction and its compact specific formulation based on existing research and the author's introspective experience. A software aim point and characteristic preservation of the solution integrity is the subject of the best formulation and a program module or code associated with it. Moreover, a personal attitude expressed by personal interest, motivation and creativity, is proclaimed to be a fundamental factor in successful software development.

DECISION MAKING USING CUBIC HYPERSOFT TOPSIS METHOD

  • A. BOBIN;P. THANGARAJA;H. PRATHAB;S. THAYALAN
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.973-988
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    • 2023
  • In real-life scenarios, we may have to deal with real numbers or numbers in intervals or a combination of both to solve multi-criteria decision-making (MCDM) problems. Also, we may come across a situation where we must combine this interval and actual number membership values into a single real number. The most significant factor in combining these membership values into a single value is by using aggregation operators or scoring algorithms. To overcome such a situation, we suggest the cubic hypersoft set (CHSS) concept as a workaround. Ultimately, this makes it simple for the decision-maker to obtain information without misconceptions. The primary aim of this study is to establish some operational laws for the cubic hypersoft set, present the fundamental properties of aggregation operators and propose an algorithm by using the technique of order of preference by similarity to the ideal solution (TOPSIS) technique based on correlation coefficients to analyze the stress-coping skills of workers.

Impact and post-impact of ring supports: Eigenfrequency response at nano-scale

  • Madiha Ghamkhar;MohamedA. Khadimallah;Muzamal Hussain;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.88 no.2
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    • pp.109-115
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    • 2023
  • In this paper, frequencies of zigzag structure of carbon nanotubes isinvestigated based on Donnell shell theory. These tubes are wrapped with the ring supports in the axial direction. The fundamental frequency curves displayed in article show the dependence of vibrations attributes to zigzag single walled carbon nanotubes. Various zigzag indices are introduced against the variation of length to predict the vibration. Also, the influence of ring supports is sketched with proposed structure for frequency analysis. The frequencies of zigzag tube decreases as the length increases. It is observed that the frequencies decreases with ring support and have higher frequencies without ring. The problem is formulated using Partial Differential Equation. Three expressions of modal deformation displacement functions is used for the elimination of temporal variation to form the solution in the eigen from. For the stability of present study the results are compared with experimentally and numerically in the open text.

Exploration of static and free vibration resistance topologically optimal beam structure shapes using density design variables. (재료밀도 설계변수를 이용한 정적 및 자유진동 저항 위상최적 보의 형상 탐색에 관한 연구)

  • Lee, Dongkyu;Shin, Soo Mi
    • Journal of Korean Association for Spatial Structures
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    • v.24 no.1
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    • pp.57-64
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    • 2024
  • This study numerically compares optimum solutions generated by element- and node-wise topology optimization designs for free vibration structures, where element-and node-wise denote the use of element and nodal densities as design parameters, respectively. For static problems optimal solution comparisons of the two types for topology optimization designs have already been introduced by the author and many other researchers, and the static structural design is very common. In dynamic topology optimization problems the objective is in general related to maximum Eigenfrequency optimization subject to a given material limit since structures with a high fundamental frequency tend to be reasonable stiff for static loads. Numerical applications topologically maximizing the first natural Eigenfrequency verify the difference of solutions between element-and node-wise topology optimum designs.