• Title/Summary/Keyword: convergence of optimal order

검색결과 301건 처리시간 0.028초

Impact Force Reconstruction of Composite materials based on Improved Regularization Technology

  • Sun, Yajie;Yin, Tao;Yang, Jian;Cai, Zhiyu;Wu, Shaoen
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제15권8호
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    • pp.2718-2731
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    • 2021
  • In the structural health monitoring of composite materials, in order to solve the ill-posed problem of impact force reconstruction, regularization techniques are often used to deal with it. Due to the poor convergence of the traditional Tikhonov regularization method, in order to accurately reconstruct the time history of the impact force, this paper improves Tikhonov regularization method and constructs homotopy function with strong convergence. Since the optimal regularization parameters need to be found in the homotopy function, the Newton downhill method is used to find the optimal parameters and the homotopy function can be calculated, which can accurately reconstruct the time history of the impact force. In order to verify the universality of the method in this paper, impact hammers of different materials were used in the experiment in this paper to study and compare the reconstruction effect of impact time history of different impact hammers.

Prediction and analysis of optimal frequency of layered composite structure using higher-order FEM and soft computing techniques

  • Das, Arijit;Hirwani, Chetan K.;Panda, Subrata K.;Topal, Umut;Dede, Tayfun
    • Steel and Composite Structures
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    • 제29권6호
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    • pp.749-758
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    • 2018
  • This article derived a hybrid coupling technique using the higher-order displacement polynomial and three soft computing techniques (teaching learning-based optimization, particle swarm optimization, and artificial bee colony) to predict the optimal stacking sequence of the layered structure and the corresponding frequency values. The higher-order displacement kinematics is adopted for the mathematical model derivation considering the necessary stress and stain continuity and the elimination of shear correction factor. A nine noded isoparametric Lagrangian element (eighty-one degrees of freedom at each node) is engaged for the discretisation and the desired model equation derived via the classical Hamilton's principle. Subsequently, three soft computing techniques are employed to predict the maximum natural frequency values corresponding to their optimum layer sequences via a suitable home-made computer code. The finite element convergence rate including the optimal solution stability is established through the iterative solutions. Further, the predicted optimal stacking sequence including the accuracy of the frequency values are verified with adequate comparison studies. Lastly, the derived hybrid models are explored further to by solving different numerical examples for the combined structural parameters (length to width ratio, length to thickness ratio and orthotropicity on frequency and layer-sequence) and the implicit behavior discuss in details.

Convergence and Measurement of Inter-Departure Processes in a Pull Serial Line: Entropy and Augmented Lagrange Multiplier Approach

  • Choe, Sang-Woong
    • Industrial Engineering and Management Systems
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    • 제1권1호
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    • pp.29-45
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    • 2002
  • In this study, we consider infinite supply of raw materials and backlogged demands as given two boundary conditions. And we need not make any specific assumptions about the inter-arrival of external demand and service time distributions. We propose a numeric model and an algorithm in order to compute the first two moments of inter-departure process. Entropy enables us to examine the convergence of this process and to derive measurable relations of this process. Also, lower bound on the variance of inter-departure process plays an important role in proving the existence and uniqueness of an optimal solution for a numeric model and deriving the convergence order of augmented Lagrange multipliers method applied to a numeric model. Through these works, we confirm some structural properties and numeric examples how the validity and applicability of our study.

Recurrent Ant Colony Optimization for Optimal Path Convergence in Mobile Ad Hoc Networks

  • Karmel, A;Jayakumar, C
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권9호
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    • pp.3496-3514
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    • 2015
  • One of the challenging tasks in Mobile Ad hoc Network is to discover precise optimal routing solution due to the infrastructure-less dynamic behavior of wireless mobile nodes. Ant Colony Optimization, a swarm Intelligence technique, inspired by the foraging behaviour of ants in colonies was used in the past research works to compute the optimal path. In this paper, we propose a Recurrent Ant Colony Optimization (RECACO) that executes the actual Ant Colony Optimization iteratively based on recurrent value in order to obtain an optimal path convergence. Each iteration involves three steps: Pheromone tracking, Pheromone renewal and Node selection based on the residual energy in the mobile nodes. The novelty of our approach is the inclusion of new pheromone updating strategy in both online step-by-step pheromone renewal mode and online delayed pheromone renewal mode with the use of newly proposed metric named ELD (Energy Load Delay) based on energy, Load balancing and end-to-end delay metrics to measure the performance. RECACO is implemented using network simulator NS2.34. The implementation results show that the proposed algorithm outperforms the existing algorithms like AODV, ACO, LBE-ARAMA in terms of Energy, Delay, Packet Delivery Ratio and Network life time.

Nelder-Mead 심플렉스 알고리듬의 수렴에 관한 수치실험 (Numerical Experiment for the Properties of Nelder-Mead Simplex Algorithm Convergence)

  • 현창헌;이병기
    • 산업기술연구
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    • 제22권B호
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    • pp.35-44
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    • 2002
  • To find the optimal solution as rapidly and exactly as possible with Nelder-Mead simplex algorithm, the present values of the reflection, expansion, contraction and/or shrink parameters of this algorithm are needed to be changed at appropriate time during the search process. The reflection parameter is selected in this study in order to be changed because reflection, expansion and contraction process can be simultaneously effected by only this parameter. Two independent indices for determining whether the present value of the reflection parameter of this algorithm should be changed or not during the search process are suggested in this study. Those indices were made of the equations of Nelder-Mead simplex algorithm's convergence criterion and Dennis-Wood's convergence criterion, respectively. It is appeared that the optimal solution can be find with smaller numbers of objective function evaluation than the original Nelder-Mead's one with fixed parameter when the those indices are used during the search process. and the more remarkable reduction effect of the number of an objective function evaluation can be obtained when the latter index is used.

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Indirect Method를 이용한 헬리콥터 기동비행 해석 - Part I. 최적제어 문제의 정식화와 수치해법 (Analysis of Helicopter Maneuvering Flight Using the Indirect Method - Part I. Optimal Control Formulation and Numerical Methods)

  • 김창주;양창덕;김승호;황창전
    • 한국항공우주학회지
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    • 제36권1호
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    • pp.22-30
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    • 2008
  • 본 논문은 헬리콥터 기동비행문제를 비선형 최적제어기법으로 정식화 하고 이를 indirect method를 적용하여 해석하는 기법에 대해 연구하였다. 주어진 기동비행 경로에 대한 오차를 벌칙함수 형태의 가격(비용, 목적)함수로 채택하고 이를 최소화하도록 정식화하면 기동비행은 구속조건이 없는 최적제어문제로 정식화 된다. 정식화 결과로 얻어지는 이점 경계값 문제는 Multiple Shooting Method (MSM)을 적용하여 해석하였다. 본 논문은 shooting node의 수와 상태변수의 초기화 방법 등이 수치해법에 주는 영향을 분석하여 수렴성 확보에 필요한 조건을 식별하고 수렴반경을 증가시킬 수 있는 방안에 초점을 두었다. 연구결과는 헬리콥터와 같이 불안정한 시스템의 최적제어 문제에 indirect method를 적용하는 경우 수치해법의 안정성과 수렴성을 확보할 수 있는 방법을 제시한다.

Optimal Adaptive Filter Design of M-wave Elimination for Treating Tooth Grinding

  • Yeom, Hojun
    • International journal of advanced smart convergence
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    • 제5권4호
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    • pp.66-70
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    • 2016
  • When tooth grinding occurs, electrical stimulation is given at the same time, and tooth grinding stops on such stimulation. Electromyography signals are used as control signals of electrical stimulation to disturb tooth grinding. However because of the electrical stimulation, the M-waves are generated and mixed with spontaneous electromyogram. In this study, we designed an optimal filter to remove M-wave and conserve spontaneous electromyogram simultaneously. The inverse power method (IPM) showed that the optimal filter coefficient is the eigenvector corresponding to the minimum eigenvalue of the input covariance matrix. In order to evaluate the performance of the optimal filter, we compared using a conventional band pass filter and adaptive filter using least mean square algorithm. The experimental results show that the optimal filter can effectively remove the M-wave compared to the previously studied prediction error filter.

합성곱 신경망에서 이미지 분류를 위한 하이퍼파라미터 최적화 (Hyperparameter Optimization for Image Classification in Convolutional Neural Network)

  • 이재은;김영봉;김종남
    • 융합신호처리학회논문지
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    • 제21권3호
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    • pp.148-153
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    • 2020
  • 합성곱 신경망 모형에서 높은 정확도를 얻기 위해서는 최적의 하이퍼파라미터를 설정하는 작업이 필요하다. 하지만 높은 성능을 낼 수 있는 하이퍼파라미터 값이 정확히 알려진 바가 없으며, 자료마다 최적의 하이퍼파라미터 값이 달라질 수 있기 때문에 매번 실험을 통해서 찾아야만 한다. 또한, 하이퍼파라미터 값들의 범위가 넓고 조합 수가 많기 때문에 시간과 계산량을 줄이기 위해서는 최적값을 찾기 위한 실험 계획을 먼저 한 후에 탐색을 하는 것이 필요하다. 그러나 아직까지 합성곱 신경망 모형에서 하이퍼파라미터 최적화를 위하여 실험계획법을 이용한 연구 결과가 보고되지 않았다. 본 논문에서는 이미지 분류 문제에서 통계방법 중 하나인 실험계획법의 요인배치법을 이용하여 실험 계획을 하고 합성곱 신경망 분석을 한 후에, 높은 성능을 갖는 값을 중심으로 그리드 탐색을 하여 최적의 하이퍼파라미터를 찾는 방법을 제안한다. 실험 계획을 통하여 각 하이퍼파라미터들의 탐색 범위를 줄인 후에 그리드 탐색을 함으로써 효율적으로 연산량을 줄이고 정확도를 높힐 수 있음을 보였다. 또한 실험 결과에서 모형 성능에 가장 큰 영향을 주는 하이퍼파라미터가 학습률이라는 것을 확인할 수 있었다.

미끄럼 방지용 금속 그레이팅의 구조적 안정성 평가 (Structural Stability Estimation of Non-slip Steel Grating)

  • 손인수
    • 한국산업융합학회 논문집
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    • 제24권4_2호
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    • pp.501-507
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    • 2021
  • In this study, In order to prevent the safety accidents caused by the sliding, to develop the non-slip grating, the stability judgment based on the span length of the grating and the gap of the bearing bar is performed. The structural analysis of Grating was carried out in accordance with the provisions set out in Grating's load-bearing test conditions. As the span length increases, the deflection increases and the stress and span length tend to be proportional to each other. It was shown that the larger the span, the linear increase in stress and exponential increase in deformation of grating. The maximum stress of grating was approximately 58.2 MPa, indicating a very stable safety rate of about 4.3 compared to the yield strength of the grating material. Based on these results, it will be able to be utilized as the basic data for determining the optimal dimensions of non-slip grading by performing optimal designs in the future.

GMAW Robot에서 Spatter최소 발생 조건에 관한 연구 (A Study on the Optimal Condition for Minimizing Spatter Generation at GMAW Robot)

  • 김한식;한신식
    • 한국산업융합학회 논문집
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    • 제11권2호
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    • pp.83-91
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    • 2008
  • GMAW(Gas Metal Arc Welding) processes are usually used in industrial side in order to get its high productivity. But those are only adopted in the semi-automated welding equipment because of a lot of welding spatters. Many industrial robot actually percents from being engaged in the welding processes. The welding spatter problem of causes blocking them being a fully automated welding process.This study was carried out to investigate the optimal conditions for minimizing welding spatter generation at GMAW robot. The spatter can be significantly reduced below 2% of welding spatter generation at the following conditions ; First, below 18V at the wire-feed rate 2.0mm/min Second, below 23V at the wire-feed rate 3.6mm/min Third, below 24V at the wire-feed rate 5.5mm/min.

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