• Title/Summary/Keyword: Inverse Theory

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A New Inverse Scattering Scheme Using the Moment Method, I: Theory (모멘트방법을 이용한 새로운 역산란 계산 방법, I : 이론)

  • 김세윤;이재민;라정웅
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.3
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    • pp.243-251
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    • 1988
  • A new technique to reconstruct complex permittivity profiles of dielectric objects by using the moment-method solutions to the electric field integral equation iversely is presented here. Performing numerical calcualtions for several type of dielectric objects by employing the present scheme, it is demonstrated that this inverse technique provides the superresolution of the reconstructed permittivity profiles regardless of the location measured the scattered field, the size and shape of dielelctric objects and the permittivity profile.

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Closed-form solutions for non-uniform axially loaded Rayleigh cantilever beams

  • Sarkar, Korak;Ganguli, Ranjan;Elishakoff, Isaac
    • Structural Engineering and Mechanics
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    • v.60 no.3
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    • pp.455-470
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    • 2016
  • In this paper, we investigate the free vibration of axially loaded non-uniform Rayleigh cantilever beams. The Rayleigh beams account for the rotary inertia effect which is ignored in Euler-Bernoulli beam theory. Using an inverse problem approach we show, that for certain polynomial variations of the mass per unit length and the flexural stiffness, there exists a fundamental closed form solution to the fourth order governing differential equation for Rayleigh beams. The derived property variation can serve as test functions for numerical methods. For the rotating beam case, the results have been compared with those derived using the Euler-Bernoulli beam theory.

Design of Porcess Parameters in Axisymmetric Multi-step Deep Drawing by a Finite Element Inverse Method (유한요소 역 해석을 이용한 축대칭 다단계 박판성형에서의 공정변수 설계에 관한 연구)

  • Cho, Cheon-Soo;Lee, Choong-Ho;Huh, Hoon
    • Transactions of Materials Processing
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    • v.6 no.4
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    • pp.300-310
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    • 1997
  • A finite element inverse method is introduced for direct prediction of blank shapes, strain distributions, and reliable intermediate shapes from desired final shapes in axisymmetric multi-step deep drawing processes. This mothod enables the determination of process disign. The approach deals with the Hencky's deformation theory. Hill's second order yield criterion, simplified boundary conditions, and minimization of plastic work with constraints. The algorithm developed is applied to motor case forming, and cylindrical cup drawing with the large limit drawing ratio so that it confirms its validity by demonstrating resonably accurate numerical results of each problem. Numerical examples reveal the reason of difficulties in motor case forming with corresponding limit diagrams.

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Physical Modeling of a Sanjo Gayageum (산조 가야금의 물리적 모델링)

  • 정의필;조상진
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.7
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    • pp.521-531
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    • 2004
  • In this paper we developed the Physical modeling of the Sanio Gayageum using the improved digital waveguide theory. The frequency characteristics of the Gayageum body is implemented by an inverse filtering and the impulse response of the body. We obtained the synthesis sounds of the unit sound for the Gayageum using the simulation of the straight-line fits by the changes of the fundamental frequencies depending on the Amok location. Finally. we could obtain the virtual Sanio Gayageum sounds similar to the actual Gayageum by tuning the Amok positions.

The Challenge of Managing Customer Networks under Change : Proving the Complexity of the Inverse Dominating Set Problem (소비자 네트워크의 변화 관리 문제 : 최소지배집합 역 문제의 계산 복잡성 증명)

  • Chung, Yerim;Park, Sunju;Chung, Seungwha
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.2
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    • pp.131-140
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    • 2014
  • Customer networks go through constant changes. They may expand or shrink once they are formed. In dynamic environments, it is a critical corporate challenge to identify and manage influential customer groups in a cost effective way. In this context, we apply inverse optimization theory to suggest an efficient method to manage customer networks. In this paper, we assume that there exists a subset of nodes that might have a large effect on the network and that the network can be modified via some strategic actions. Rather than making efforts to find influential nodes whenever the network changes, we focus on a subset of selective nodes and perturb as little as possible the interaction between nodes in order to make the selected nodes influential in the given network. We define the following problem based on the inverse optimization. Given a graph and a prescribed node subset, the objective is to modify the structure of the given graph so that the fixed subset of nodes becomes a minimum dominating set in the modified graph and the cost for modification is minimum under a fixed norm. We call this problem the inverse dominating set problem and investigate its computational complexity.

Deformation estimation of plane-curved structures using the NURBS-based inverse finite element method

  • Runzhou You;Liang Ren;Tinghua Yi ;Hongnan Li
    • Structural Engineering and Mechanics
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    • v.88 no.1
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    • pp.83-94
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    • 2023
  • An accurate and highly efficient inverse element labelled iPCB is developed based on the inverse finite element method (iFEM) for real-time shape estimation of plane-curved structures (such as arch bridges) utilizing onboard strain data. This inverse problem, named shape sensing, is vital for the design of smart structures and structural health monitoring (SHM) procedures. The iPCB formulation is defined based on a least-squares variational principle that employs curved Timoshenko beam theory as its baseline. The accurate strain-displacement relationship considering tension-bending coupling is used to establish theoretical and measured section strains. The displacement fields of the isoparametric element iPCB are interpolated utilizing nonuniform rational B-spline (NURBS) basis functions, enabling exact geometric modelling even with a very coarse mesh density. The present formulation is completely free from membrane and shear locking. Numerical validation examples for different curved structures subjected to different loading conditions have been performed and have demonstrated the excellent prediction capability of iPCBs. The present formulation has also been shown to be practical and robust since relatively accurate predictions can be obtained even omitting the shear deformation contributions and considering polluted strain measures. The current element offers a promising tool for real-time shape estimation of plane-curved structures.

Development of Vision Based Steering System for Unmanned Vehicle Using Robust Control

  • Jeong, Seung-Gweon;Lee, Chun-Han;Park, Gun-Hong;Shin, Taek-Young;Kim, Ji-Han;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1700-1705
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    • 2003
  • In this paper, the automatic steering system for unmanned vehicle was developed. The vision system is used for the lane detection system. This paper defines two modes for detecting lanes on a road. First is searching mode and the other is recognition mode. We use inverse perspective transform and a linear approximation filter for accurate lane detections. The PD control theory is used for the design of the controller to compare with $H_{\infty}$ control theory. The $H_{\infty}$ control theory is used for the design of the controller to reduce the disturbance. The performance of the PD controller and $H_{\infty}$ controller is compared in simulations and tests. The PD controller is easy to tune in the test site. The $H_{\infty}$ controller is robust for the disturbances in the test results.

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Damage Detection of Truss Structures Using Extended Projection Filter (확장사영필터를 이용한 트러스 구조물의 손상 검출)

  • Suh, Ill-Gyo;Lim, Eun-Ji
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.4
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    • pp.195-201
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    • 2005
  • In this paper, a study of damage measures for truss structures using the Extended Projection filter theory is presented. Many researchers are interested in inverse problems and one of solution procedures for inverse problems that are very effective is the approach using the filtering algorithm in conjunction with numerical solution methods. In this paper, the projection filtering in conjunction with structural analysis is applied to the identification of damages in truss structures. And, the effectiveness of proposed method is verified through the numerical examples of a free vibrating structure.

Feedback Error Learning and $H^{\infty}$-Control for Motor Control

  • Wongsura, Sirisak;Kongprawechnon, Waree;Phoojaruenchanachai, Suthee
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1981-1986
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    • 2004
  • In this study, the basic motor control system had been investigated. The controller for this study consists of two main parts, a feedforward controller part and a feedback controller part. Each part will deals with different control problems. The feedback controller deals with robustness and stability, while the feedforward controller deals with response speed. The feedforward controller, used to solve the tracking control problem, is adaptable. To make such a tracking perfect, an adaptive law based on Feedback Error Learning (FEL) is designed so that the feedforward controller becomes an inverse system of the controlled plant. The novelty of FEL method lies in its use of feedback error as a teaching signal for learning the inverse model. The theory in $H^{\infty}$-Control is selected to be applied in the feedback part to guarantee the stability and solve the robust stabilization problems. The simulation of each individual part and the integrated one are taken to clarify the study.

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Inverse Dynamics for the Tip Position Control of the Transiational Motion Flexible Arm (병진 운동 탄성암의 선단 위치제어를 위한 역동역학)

  • 방두열;이성철;장남정이;저강광
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.11a
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    • pp.155-159
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    • 1991
  • This paper is a study on the Inverse dynamics of a one-1ink flexible robot arm which is control led by the transiational base motion. The system is composed of the flexible arm, the mobil stage, a DC servomotor, and a computer. The arm base is shifted so that the tip follows a desired path function. The tip Rotten is measured by the laser displacement sensor. The governing equations are based on the Bernoullie-Euler beam theory and solved by applying the Laplace transform method and then the numerical inversion method to the resulted equations. Tip responses obtained both theoretically and experimentally are in good agreement with the desired trajectory, which shows that the scheme of inverse dynamics is effective for the open-loop endpoint positioning of the flexible am driven by the translation stage.

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