• 제목/요약/키워드: integral solutions

검색결과 428건 처리시간 0.036초

Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory

  • Belbachir, Nasrine;Bourada, Mohamed;Draiche, Kada;Tounsi, Abdelouahed;Bourada, Fouad;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Smart Structures and Systems
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    • 제25권4호
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    • pp.409-422
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    • 2020
  • This article deals with the flexural analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal loading using a refined plate theory with four variables. In this theory, the undetermined integral terms are used and the number of variables is reduced to four, instead of five or more in other higher-order theories. The boundary conditions on the top and the bottom surfaces of the plate are satisfied; hence the use of the transverse shear correction factors is avoided. The principle of virtual work is used to obtain governing equations and boundary conditions. Navier solution for simply supported plates is used to derive analytical solutions. For the validation of the present theory, numerical results for displacements and stresses are compared with those of classical, first-order, higher-order and trigonometric shear theories reported in the literature.

Time-dependent and inelastic behaviors of fiber- and particle hybrid composites

  • Kim, Jeong-Sik;Muliana, Anastasia
    • Structural Engineering and Mechanics
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    • 제34권4호
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    • pp.525-539
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    • 2010
  • Polymer matrix composites are widely used in many engineering applications as they can be customized to meet a desired performance while not only maintaining low cost but also reducing weight. Polymers can experience viscoelastic-viscoplastic response when subjected to external loadings. Various reinforcements and fillers are added to polymers which bring out more complexity in analyzing the timedependent response. This study formulates an integrated micromechanical model and finite element (FE) analysis for predicting effective viscoelastic-viscoplastic response of polymer based hybrid composites. The studied hybrid system consists of unidirectional short-fiber reinforcements and a matrix system which is composed of solid spherical particle fillers dispersed in a homogeneous polymer constituent. The goal is to predict effective performance of hybrid systems having different compositions and properties of the fiber, particle, and matrix constituents. A combined Schapery's viscoelastic integral model and Valanis's endochronic viscoplastic model is used for the polymer constituent. The particle and fiber constituents are assumed linear elastic. A previously developed micromechanical model of particle reinforced composite is first used to obtain effective mechanical properties of the matrix systems. The effective properties of the matrix are then integrated to a unit-cell model of short-fiber reinforced composites, which is generated using the FE. The effective properties of the matrix are implemented using a user material subroutine in the FE framework. Limited experimental data and analytical solutions available in the literatures are used for comparisons.

A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium

  • Yazid, Miloud;Heireche, Houari;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Houari, Mohammed Sid Ahmed
    • Smart Structures and Systems
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    • 제21권1호
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    • pp.15-25
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    • 2018
  • This work presents the buckling investigation of embedded orthotropic nanoplates such as graphene by employing a new refined plate theory and nonlocal small-scale effects. The elastic foundation is modeled as two-parameter Pasternak foundation. The proposed two-variable refined plate theory takes account of transverse shear influences and parabolic variation of the transverse shear strains within the thickness of the plate by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. Nonlocal governing equations for the single layered graphene sheet are obtained from the principle of virtual displacements. The proposed theory is compared with other plate theories. Analytical solutions for buckling loads are obtained for single-layered graphene sheets with isotropic and orthotropic properties. The results presented in this study may provide useful guidance for design of orthotropic graphene based nanodevices that make use of the buckling properties of orthotropic nanoplates.

A novel quasi-3D hyperbolic shear deformation theory for vibration analysis of simply supported functionally graded plates

  • Sidhoum, Imene Ait;Boutchicha, Djilali;Benyoucef, Samir;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제22권3호
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    • pp.303-314
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    • 2018
  • An original quasi-3D hyperbolic shear deformation theory for simply supported functionally graded plates is proposed in this work. The theory considers both shear deformation and thickness-stretching influences by a hyperbolic distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower surfaces of the plate without using any shear correction coefficient. By expressing the shear parts of the in-plane displacements with the integral term, the number of unknowns and equations of motion of the proposed theory is reduced to four as against five in the first shear deformation theory (FSDT) and common quasi-3D theories. Equations of motion are obtained from the Hamilton principle. Analytical solutions for dynamic problems are determined for simply supported plates. Numerical results are presented to check the accuracy of the proposed theory.

A Study on the Analysis of Quality Attributes on the Software Architecture for Development of a Navigation System Platform of Autonomous Ships

  • Ahn, Young-Joong;Lee, Yun-Sok
    • 한국항해항만학회지
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    • 제43권6호
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    • pp.353-360
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    • 2019
  • Technology-driven development of a new system makes it difficult for users and stakeholders to identify or intervene in the development process, resulting in systems with unnecessary functions and poor quality services. Applying the software architecture design process to the initial design of the navigation system platform of autonomous ships enables the development of a system that reflects the required functions and service quality of the stakeholders. The design, which includes all of the subsystems that make up an autonomous ship platform, is close to an enterprise architecture. Thus, we strived to design a navigation system platform suitable for the design range of the software architecture. This study analyzed the definition of functional requirements, and quality attributes by applying the software architecture design procedure. This study was conducted to identify the characteristics of the navigation system and platform needs, and the stakeholders were identified. To derive the functional requirements and constraints of the platform, a quality attributes workshop was held engaging stakeholders, and the results of the analysis of functional requirements and quality attributes were listed. Based on the results of this study, the architect can establish the evidence and technical solutions that are integral for the architecture development, and will facilitate the creation of quality attribute scenarios.

경계법을 이용한 형상최적화 문제의 설계민감도 해석 및 응용 (A Boundary Method for Shape Design Sensitivity Analysis for Shape Optimization Problems and its Application)

  • 최주호;곽현구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.355-362
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    • 2004
  • An efficient boundary-based technique is developed for addressing shape design sensitivity analysis in various problems. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in problems. The formula, which is expressed in terms of the boundary solutions and shape variation vectors, can be conveniently used for gradient computation in a variety of shape design problems. While the sensitivity can be calculated independent of the analysis means, such as the finite element method (FEM) or the boundary element method (BEM), the FEM is used for the analysis in this study because of its popularity and easy-to-use features. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The supercavitating flow problem and fillet problem are chosen to illustrate the efficiency of the proposed methodology. Implementation issues for the sensitivity analysis and optimization procedure are also addressed in these problems.

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각 부하지점별 확률론적 발전비용 산정을 위한 수치해석적 방법 (Numerical Analysis Method for Nodal Probabilistic Production Cost Simulation)

  • 김홍식;문승필;최재석;노대석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 춘계학술대회 논문집 전력기술부문
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    • pp.112-115
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    • 2001
  • This paper illustrates a new nodal effective load model for nodal probabilistic production cost simulation of the load point in a composite power system. The new effective load model includes capacities and uncertainties of generators as well as transmission lines. The CMELDC based on the new effective load model at HLII has been developed also. The CMELDC can be obtain from convolution integral processing of the outage capacity probabilistic distribution function of the fictitious generator and the original load duration curve given at the load point. It is expected that the new model for the CMELDC proposed. In this study will provide some solutions to many problems based on nodal and decentralized operation and control of an electric power systems under competition environment in future. The CMELDC based on the new model at HLII will extend the application areas of nodal probabilistic production cost simulation, outage cost assessment and reliability evaluation etc. at load points. The characteristics and effectiveness of this new model are illustrated by a case study of a test system.

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A new quasi-3D sinusoidal shear deformation theory for functionally graded plates

  • Benchohra, Mamia;Driz, Hafida;Bakora, Ahmed;Tounsi, Abdelouahed;Adda Bedia, E.A.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제65권1호
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    • pp.19-31
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    • 2018
  • In this paper, a new quasi-3D sinusoidal shear deformation theory for functionally graded (FG) plates is proposed. The theory considers both shear deformation and thickness-stretching influences by a trigonometric distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower faces of the plate without employing any shear correction coefficient. The advantage of the proposed model is that it posses a smaller number of variables and governing equations than the existing quasi-3D models, but its results compare well with those of 3D and quasi-3D theories. This benefit is due to the use of undetermined integral unknowns in the displacement field of the present theory. By employing the Hamilton principle, equations of motion are obtained in the present formulation. Closed-form solutions for bending and free vibration problems are determined for simply supported plates. Numerical examples are proposed to check the accuracy of the developed theory.

Efficient crosswell EM tomography for monitoring geological sequestration of $CO_2$

  • Lee, Ki-Ha;Kim, Hee-Joon;Song, Yoon-Ho
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.321-327
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    • 2003
  • [ $CO_2$ ] sequestration in oil reservoirs can be one of the most effective strategies for long-term removal of greenhouse gas from atmosphere. This paper presents an advantage of the localized nonlinear approximation of integral equation solutions for inverting crosswell electromagnetic data, which are observed as a part of pilot project of $CO_2$ flooding at the Lost Hills oil field in central California, U.S.A. To monitor the migration of $CO_2$, we have used 2-D cylindrically symmetric and 2.5-D tomographic inversion methods. These two schemes produce nearly the same images if the borehole separation is large compared with the skin depth. However, since the borehole separation is much less than five skin depths in this $CO_2$ injection experiment, the 2.5-D model seems to be more reliable than the 2-D model. In fact, the pre-injection 2.5-D image is more successfully compared with induction logs observed in the two wells than the 2-D model. From the time-lapse crosswell imaging, we can confirm the replacement of brine with $CO_2$ makes a decrease of conductivity.

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남성복 재킷의 선호 여유량과 맞음새에 관한 연구 (Characteristics to ensure Optimum Ease in Men's Business Jackets)

  • 강여선;최혜선
    • 한국의류학회지
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    • 제29권1호
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    • pp.91-102
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    • 2005
  • The purpose of this study was to investigate the range of variation for commonly accepted ease in a business jacket and thus to find solutions to the problem of fit and ease in ready-to-wear jackets. This study was based on anthropometric measurements, pattern measurements, which were used to calculate ease amount according to each jacket part. The survey subjects were 493 males, between 25 to 59 years old, buying a jacket at stores in Seoul. In the results, the aesthetic purpose of a business jacket(custom-fit jacket) was clearly observed by the means of controlling the ease amount at chest, waist and hip. The ease at chest and waist(ready-to-wear) clearly revealed a difference among prototypes. This result can be explaned by the regular drops and the similar length-width proportions between sizes in ready-to-wear Jackets. Therefore, customers with varying body drop differences, who had to choose a homogeneous jacket drop, experienced too much ease at the Waist and Hip compared with custom-fit customers. In addition, the height could be an integral factor to affect the ease of jacket length and sleeve length. The ease at these parts was significantly different among height groups and showed negative relationships.