• 제목/요약/키워드: Integral Equation

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Optimization of lateral resisting system of framed tubes combined with outrigger and belt truss

  • Mohammadnejad, Mehrdad;Kazemi, Hasan Haji
    • Advances in Computational Design
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    • 제7권1호
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    • pp.19-35
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    • 2022
  • In this paper, the optimum location of the belt truss-outrigger for a combined system of framed tube, shear core and outrigger-belt truss is calculated. The optimum location is determined by maximization of the first natural frequency. The framed tube is modeled using a non-prismatic cantilever beam with hollow box cross section. The governing differential equation is solved using the weak form integral equations and the natural frequencies of the structure are calculated. The graphs are introduced for quick calculation of the first natural frequency. The location of the belt truss-outrigger that maximizes the first natural frequency of the structure is introduced as an optimum location. The structure is modeled using SAP-2000 finite elements software. In the modelling, the location of the belt truss-outrigger is changed along the height of the structure. With various locations of the outrigger, the lateral deflection of the all stories and axial force in the columns of the outer tube are calculated. The analysis is repeated by locating the outrigger-belt truss at the optimum location. The analysis results are compared and effect of the optimum location on the lateral deflection and the shear lag phenomena are investigated.

포텐셜을 기저로한 패널법에 의한 프로펠러의 정상 성능 해석 (Prediction of Steady Performance of a Propeller by Using a Potential-Based Panel Method)

  • 김영기;이진태;이창섭;서정천
    • 대한조선학회논문집
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    • 제30권1호
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    • pp.73-86
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    • 1993
  • 균일 유동장 중에서 작동 중인 선박 프로펠러의 정상 성능 추정을 위하여 포텐셜을 기저로한 패널법을 기술하고 있다. 본 방법은 법선 다이폴과 쏘오스를 프로펠러 날개, 허브, 후류면에 분포함으로써 다이폴의 세기를 미지수로 하는 적분방정식을 얻고, 이산화과정을 거쳐 수치적으로 계산된다. 비평면 사각형 패널위에 있는 법선 다이폴에 의해 유기되는 포텐셜을 구하기 위하여 쌍곡면 요소를 채택하고 있다. Kutta 조건은 반복계산에 의해 날개 뒷날에서의 압력 점프를 없앰으로써 만족시킨다. 수렴성을 보이기 위하여 상세한 수치시험을 수행하였으며, 동시에 후류면 모형화가 성능에 미치는 영향도 조사하였다. 프로펠러의 단독 모형시험 결과와 수치추정 결과가 잘 일치하는 것을 보였다.

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GA-LADRC를 이용한 Mariner class vessel의 선수각 제어 (GA-LADRC based control for course keeping applied to a mariner class vessel)

  • 안종갑
    • 수산해양기술연구
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    • 제59권2호
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    • pp.145-154
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    • 2023
  • In this study, to control the heading angle of a ship, which is constantly subjected to various internal and external disturbances during the voyage, an LADRC (linear active disturbance rejection control) design that focuses more on improving the disturbance removal performance was proposed. The speed rate of change of the ship's heading angle due to the turn of the rudder angle was selected as a significant factor, and the nonlinear model of the ship's maneuvering equation, including the steering gear, was treated as a total disturbance. It is the similar process with an LADRC design for the first-order transfer function model. At this time, the gains of the controller included in LADRC and the gains of the extended state observer were tuned to RCGAs (real-coded genetic algorithms) to minimize the integral time-weighted absolute error as an evaluation function. The simulation was performed by applying the proposed GA-LADRC controller to the heading angle control of the Mariner class vessel. In particular, it was confirmed that the proposed controller satisfactorily maintains and follows the set course even when the disturbances such as nonlinearity, modelling error, uncertainty and noise of the measurement sensor are considered.

수직면에서 회전운동 하는 단일 탄성링크를 가지는 매니퓰레이터의 모델링과 제어에 관한 연구 (A Study on the Modeling and Control of a Flexible One-Link Manipulator Moving in a Vertical Plane)

  • 김종대;오석형;김기호;오재윤
    • 한국정밀공학회지
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    • 제13권11호
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    • pp.132-142
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    • 1996
  • This paper presents a technique to model and control a manipulator which has a flexible link and moves in a vertical plane. The flexible link is modeled as an Euler-Bernoulli Beam. Elastic deformation of the flexible link is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. This paper presents a simple technique to improve the correctness of the developed model. The final model including the shortening effect due to elastic deformation correlates very well with experimental results. The free body motion simulation shows that two assumed modes for the representation of the elastic deformation is proper in terms of the model size and correctness. A control algorithm is developed using PID control technique. The proportional, integral and derivative control gains are determined based on dominant pole placement method with a rigid one-link manipulator. A position control simulation shows that the control algorithm can be used to control the position and residual oscillation of the flexible one-link manipulator effectively.

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경사진 방파제에 계류된 선체 운동응답에 관한 연구 (On the Study of the Motion Response of a Vessel Moored in the Region Sheltered by Inclined Breakwaters)

  • 조일형;홍사영;홍석원
    • 한국항만학회지
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    • 제6권2호
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    • pp.33-42
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    • 1992
  • In this paper we investigate the motion response of a moored ship in the fluid region sheltered by inclined breakwaters. The matched asymptotic expansion technique is employed to analyze the wave fields scattered by the inclined breakwaters. Fluid domain is subdivided into the ocean, entrance and sheltered regions. Unknown coefficients contained in each region can be determined by matching at the intermediate zone between two neighboring regions. The wave field generated by the ship motion can be analyzed in terms of Green's function method. To obtain the velocity jump across the ship associated with the symmetric motion modes, the sheltered region is further divided into near field of the ship and the rest field. The image method is introduced to consider the effect of the pier near the ship. The integral equation for the velocity jump is derived by the flux matching between the inner region and the outer region of a moored ship. Throughout the numerical calculation it is found that the inclined angle width of entrance of breakwaters as well as the location of moored vessel play an important role in the motion response of a moored ship.

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수직면에서 회전운동을 하는 탄성로봇의 PID 제어 (PID Control of a flexible robot rotating in vertical plane)

  • 강준원;오재윤;김기호
    • 한국정밀공학회지
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    • 제14권11호
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    • pp.34-41
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    • 1997
  • This paper presents a technique to control a very flexible robot moving in a vertical plane. The flexible robot is modeled as an Euler-Bernoulli beam. Elastic deformation is approximated using the assmed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID cnotrol tech- nique. The proportional, integral and deivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and no steady state error, and short settling time. The effectiveness of the developed control scheme is showed in the hub angular diaplacement control experiment. Three different end masses are uned in the experiment. The experimental results show that developed control algorithm is very effective showing little overshoot, no steady state error, and less than 2.5 second settl- ing time in case of having an end mass which is equivalent to 45% of the manipulator mass. Also the experimental results show that the residual vibration fo the end point is effectively controlled.

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Static and stress analyses of bi-directional FG porous plate using unified higher order kinematics theories

  • Mohamed, Salwa;Assie, Amr E.;Mohamed, Nazira;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.305-330
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    • 2022
  • This article aims to investigate the static deflection and stress analysis of bi-directional functionally graded porous plate (BDFGPP) modeled by unified higher order kinematic theories to include the shear stress effects, which not be considered before. Different shear functions are described according to higher order models that satisfy the zero-shear influence at the top and bottom surfaces, and hence refrain from the need of shear correction factor. The material properties are graded through two spatial directions (i.e., thickness and length directions) according to the power law distribution. The porosities and voids inside the material constituent are described by different cosine functions. Hamilton's principle is implemented to derive the governing equilibrium equation of bi-directional FG porous plate structures. An efficient numerical differential integral quadrature method (DIQM) is exploited to solve the coupled variable coefficients partial differential equations of equilibrium. Problem validation and verification have been proven with previous prestigious work. Numerical results are illustrated to present the significant impacts of kinematic shear relations, gradation indices through thickness and length, porosity type, and boundary conditions on the static deflection and stress distribution of BDFGP plate. The proposed model is efficient in design and analysis of many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

EXTENDED HERMITE-HADAMARD(H-H) AND FEJER'S INEQUALITIES BASED ON GEOMETRICALLY-s-CONVEX FUNCTIONS IN THIRD AND FOURTH SENSE

  • SABIR YASIN;MASNITA MISIRAN;ZURNI OMAR;RABIA LUQMAN
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.963-972
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    • 2023
  • In this paper, geometrically convex and s-convex functions in third and fourth sense are merged to form (g, s)-convex function. Characterizations of (g, s)-convex function, algebraic and functional properties are presented. In addition, novel functions based on the integral of (g, s)-convex functions in the third sense are created, and inequality relations for these functions are explored and examined under particular conditions. Further, there are also some relationships between (g, s)-convex function and previously defined functions. The (g, s)-convex function and its derivatives will then be used to extend the well-known H-H and Fejer's type inequalities. In order to obtain the previously mentioned conclusions, several special cases from previous literature for extended H-H and Fejer's inequalities are also investigated. The relation between the average (mean) values and newly created H-H and Fejer's inequalities are also examined.

Effect of Importance of Selection Attributes on Satisfaction and Repurchase of Nostalgic Desserts among 20's

  • Choo Yeon KIM;Seunghyeon LEE;Seong Soo CHA
    • 산경연구논집
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    • 제15권3호
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    • pp.1-9
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    • 2024
  • Purpose: This research aimed at understanding the dynamics of consumer behavior in the context of nostalgic desserts. The primary objective is to scrutinize how different attributes like quality, health, convenience, and trend influence customer satisfaction and their subsequent decision to repurchase nostalgic desserts. Research Method: The study leverages structural equation modeling, incorporating statistical tools such as SPSS and AMOS for a thorough analysis. It involves collecting data over a specified period, followed by correlation and trend analyses to deduce patterns and relationships. Results: The findings reveal that attributes such as quality, health, convenience, and trend significantly impact customer satisfaction and repurchase intentions. Interestingly, economic factors appeared to have a negligible effect on these decisions. The study offers a comprehensive understanding of the factors that influence consumer decisions in the context of nostalgic desserts, providing valuable implications for both academic research and practical marketing strategies. Conclusions: The insights garnered from this research are pivotal for formulating marketing strategies for nostalgic dessert brands. It underscores the importance of accentuating quality, health, and trend in product offerings to boost customer satisfaction and encourage repurchases. The study also sheds light on the evolving nature of consumer preferences and the integral role of nostalgia in shaping purchasing behaviors.

차량하중에 의한 사장교의 동적거동에 관한 연구 (A Study on Dynamic Behaviour of Cable-Stayed Bridge by Vehicle Load)

  • 박춘혁;한재익
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1299-1308
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    • 1994
  • 본 연구는 사장교의 차량하중에 의한 동적거동을 파악하고자 수치해석상 비교적 간단한 일본의 풍리(豊里)(Toyosato)대교(大橋)의 자료를 근거로하여 수치해석 대상모델을 구조형식별로, 여러가지 설계변수-즉, (1) 경간비, (2) 중앙경간장과 주탑높이와의 비, (3) 거어더의 강성, (4) 주탑의 강성, (5) 케이블의 강성-을 변화시켜 수치해석을 수행하여 동적거동을 파악하고, 그 결과를 가지고 설계변수의 영향 및 충격계수의 변화에 대하여 비교 분석하였다. 이때 변위 및 단면력의 영향선을 구하기 위한 해석은 전달행렬법을 이용하였으며, 동적해석에 있어서는 평면구조계의 집중질량계로 모델을 가정하여 차량과 교량의 운동방정식을 유도한 후 모드중첩법을 사용하여 각 질점에 대한 변위 및 단면력의 동적시간이력을 구하였다.

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