• 제목/요약/키워드: Analytic solution

검색결과 629건 처리시간 0.025초

ANALYTIC SOLUTION OF HIGH ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

  • Muner M. Abou Hasan;Soliman A. Alkhatib
    • Nonlinear Functional Analysis and Applications
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    • 제28권3호
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    • pp.601-612
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    • 2023
  • The existence of solution of the fractional order differential equations is very important mathematical field. Thus, in this work, we discuss, under some hypothesis, the existence of a positive solution for the nonlinear fourth order fractional boundary value problem which includes the p-Laplacian transform. The proposed method in the article is based on the fixed point theorem. More precisely, Krasnosilsky's theorem on a fixed point and some properties of the Green's function were used to study the existence of a solution for fourth order fractional boundary value problem. The main theoretical result of the paper is explained by example.

SOLUTIONS OF FRACTIONAL ORDER TIME-VARYING LINEAR DYNAMICAL SYSTEMS USING THE RESIDUAL POWER SERIES METHOD

  • Mahmut MODANLI;Sadeq Taha Abdulazeez;Habibe GOKSU
    • 호남수학학술지
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    • 제45권4호
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    • pp.619-628
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    • 2023
  • In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

Analytic Hierarchical Procedure and Economic Analysis of Pneumatic Pavement Crack Preparation Devices

  • Park, JeeWoong;Cho, Yong K.;Wang, Chao
    • Journal of Construction Engineering and Project Management
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    • 제5권2호
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    • pp.44-52
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    • 2015
  • Various approaches have been used in crack preparations and each of the approaches has advantages and disadvantages. Although the routing method has been widely used and seems to be the best approach among the approaches, it is not a complete solution for crack preparation. This paper compares and evaluates a pneumatic crack cleaning device (CCD) developed by Robotics and Intelligent Construction Automation group at Georgia Tech, over existing devices. Surveys were conducted to discover factors that affect the performance of crack/joint preparation work. Then, data for such information were collected via field tests for devices such as router, heat lancer, air blower and CCD. Performed field test results and follow-up interviews demonstrated that the utilization of CCD has potential to offer improvements in productivity, safety, and maintenance cost. An analytic hierarchical procedure (AHP) and economic analyses were conducted. The AHP analysis considered three factors including safety, quality and productivity while the economic analyses examined the alternatives in various ways. The results indicated that the CCD was ranked first and second for the AHP analysis and economic analysis, respectively. In conclusion, the field tests and results revealed that the utilization of CCD achieved satisfactorily in performance, quality, safety and control, and showed that it has high potential in crack cleaning practice.

Analytic solution of Timoshenko beam excited by real seismic support motions

  • Kim, Yong-Woo
    • Structural Engineering and Mechanics
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    • 제62권2호
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    • pp.247-258
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    • 2017
  • Beam-like structures such as bridge, high building and tower, pipes, flexible connecting rods and some robotic manipulators are often excited by support motions. These structures are important in machines and structures. So, this study proposes an analytic method to accurately predict the dynamic behaviors of the structures during support motions or an earthquake. Using Timoshenko beam theory which is valid even for non-slender beams and for high-frequency responses, the analytic responses of fixed-fixed beams subjected to a real seismic motions at supports are illustrated to show the principled approach to the proposed method. The responses of a slender beam obtained by using Timoshenko beam theory are compared with the solutions based on Euler-Bernoulli beam theory to validate the correctness of the proposed method. The dynamic analysis for the fixed-fixed beam subjected to support motions gives useful information to develop an understanding of the structural behavior of the beam. The bending moment and the shear force of a slender beam are governed by dynamic components while those of a stocky beam are governed by static components. Especially, the maximal magnitudes of the bending moment and the shear force of the thick beam are proportional to the difference of support displacements and they are influenced by the seismic wave velocity.

수평 지반에 놓인 액체 저장용 막구조물 형상의 단면 체적에 따른 해석적 해 (Analytic Analysis of Liquid-Filled Membrane Container Resting on Horizontal Foundation with Given Cross-Sectional Volume)

  • 최윤락
    • 한국해양공학회지
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    • 제25권2호
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    • pp.62-66
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    • 2011
  • In this paper, a liquid-filled long membrane container resting on a horizontal foundation is considered. All of the quantities are normalized to obtain similarity solutions. A system of nonlinear ordinary differential equations with undetermined boundary conditions is solved analytically. The integration of the curvature gives the solutions, which are expressed in terms of the elliptic integrals. A method for finding the shape and characteristic values is proposed for a given cross-sectional volume. The validity of these solutions is confirmed, and some results are shown for characteristic values and shapes.

Evaluation of the Operation Quality of Port Using AHP

  • Thao, Ngo Phuong;Yoon, Dae-Gwun
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2016년도 춘계학술대회
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    • pp.239-241
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    • 2016
  • The success or failure of businesses affected by the decision makers, when good decisions go in the direction of social development, the ability to be more successful, while one bad decision away contrary to the trend of social development are less likely to succeed. Today AHP method is widely used to solve critical problems in many areas of life. Analytic Hierarchy Process (AHP) is a quantitative comparison method is used to select a preferred solution using comparable pairs of solutions based on their relative effectiveness against criteria. The purpose of this study is provide an overview of the application of hierarchical analysis methods to solve many different important issues in the field of supply chain management.

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다-속성분석방법을 이용한 학교급식의 교내/외주결정방법 (Make-or-buy Decision Framework for School Foodservice System Using Multi-attribute Analysis Method)

  • 황흥석;황현주
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2003년도 추계학술대회 및 정기총회
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    • pp.148-151
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    • 2003
  • Recently school food service operations are confronted with the wide spread pressures for accountability and the need to increase productivity. This paper is concerned with the make-or-buy decision framework for school food service systems considering the multi-attributes in the decision making. For the purpose of considering the multi-attributes analysis method in decision making for the school foodservice, we developed a make-or-buy decision framework using the multi-attribute analysis method, analytic hierarchy process, AHP method for school food service system. Finally, we developed a systematic and practical solution builder for a three-step decision support system in the view of 1) brainstorming for the idea generation, 2) analytic hierarchy process, AHP as a multi-attribute structure ed analysis method, and 3) aggregation logic model to integrate the results of reviewers. We developed web based program and applied it to a school foodservice problem.

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기초격리된 직사각형 유체 저장 구조물의 동적 해석 (Dynamic Analysis of Base-Isolated Rectangular Liquid Storage Structures)

  • 박장호
    • 한국안전학회지
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    • 제19권4호
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    • pp.109-116
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    • 2004
  • The dynamic behavior of the rectangular liquid storage structure is known to be greatly influenced by fluid-structure interaction. By mounting the liquid storage structure on the properly designed base isolators, dynamic response of the superstructure can be reduced. However, base isolators inevitably incur large displacement of the structure to the ground ·ind may give adverse effects on the sloshing height. This paper presents the analysis method for fluid-structure-isolator interaction in base-isolated rectangular liquid storage structures. In the method, the irrotational motion of invicid and incompressible ideal fluid is expressed by analytic solutions and the superstructure and isolators are properly modeled by finite element and bilinear model. Free surface sloshing motion, hydrodynamic pressure acting on the wall and structural response are obtained by the presented method.

배기관의 길이변화가 4사이클 4기통 전기 점화기관의 성능에 미치는 영향에 관한 연구 (A Study on the Effect of Exhaust Pipe Length of 4 Cycle 4 Cylinder S.I. Engine on the Performance)

  • 정수진;김태훈;조진호
    • 한국안전학회지
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    • 제8권3호
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    • pp.3-12
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    • 1993
  • In reciprocating internal combustion engine, engine performance Is greatly affected by volumetric efficiency. For gas flow, the dynamic effects caused by the pressure pulsation have influence on the volumetric efficiency and correlate to the configuration and pipe length of intake-exhaust system. In this study, the analytic investigation of the unstudy flow In exhaust pipe has been carried out by using the method of characteristics to predict volumetric efficiency. In conculusion, it is possible to take account of the exhaust pipe tuning effect in predicting the engine performance, by the analytic solution of the unsteady flow in the pipes, and comparision of prediction with experimental datas show a good agreement on the pressure varision in the exhaust pipe which has Influence on the volumetric efficiency and performance of engine.

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건설계획 수립시 계층분석적 의사결정법 적용방안에 관한 연구 -철도노선 선정시 활용사례 연구- (A Study on Analytic Hierarchy Proces for Construction Planning -Research on Examples of Railway Route Selection-)

  • 손진현;차철
    • 한국산업융합학회 논문집
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    • 제10권4호
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    • pp.249-254
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    • 2007
  • Recently, the items of construction planning have magnified and specialized and the problems occurring at the first step of the construction planing process have complicated. In this research, AHP(Analytic Hierarchy Process) method which is simple to apply and clear to decide has been proposed when a people making a plan at the first step of the construction planing process. As an example, the best solution has been obtained in a railway construction line choice that consist of various items by applying for this method, which proves the possibility of application of this method to the complicated problems.

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