• 제목/요약/키워드: 비선형최소화

Search Result 425, Processing Time 0.025 seconds

Optimal Seismic Design Method Based on Genetic Algorithms to Induce a Beam-Hinge Mechanism in Reinforced Concrete Moment Frames (철근콘크리트 모멘트골조의 보-힌지 붕괴모드를 유도하는 유전자알고리즘 기반 최적내진설계기법)

  • Se-Woon Choi
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.36 no.6
    • /
    • pp.399-405
    • /
    • 2023
  • This study presents an optimal seismic design method based on genetic algorithms to induce beam-hinge collapse mechanisms in reinforced concrete moment frames. Two objective functions are used. The first minimizes the cost of the structure and the second maximizes the energy dissipation capacity of the structure. Constraints include strength conditions of columns and beams, minimum conditions for column-to-beam flexural strength ratio, and conditions for preventing plastic hinge occurrence of columns. Linear static analysis is performed to evaluate the strength of members, whereas nonlinear static analysis is carried out to evaluate energy dissipation capacity and occurrence of plastic hinges. The proposed method was applied to a four-story example structure, and it was confirmed that solutions for inducing a beam-hinge collapse mechanism are obtained. The value of the column-beam flexural strength ratio of the obtained design was found to be larger than the value suggested by existing seismic codes. A more robust strategy is needed to induce a beam-hinge collapse mode.

An Concave Minimization Problem under the Muti-selection Knapsack Constraint (다중 선택 배낭 제약식 하에서의 오목 함수 최소화 문제)

  • Oh, Se-Ho
    • Journal of the Korea Convergence Society
    • /
    • v.10 no.11
    • /
    • pp.71-77
    • /
    • 2019
  • This paper defines a multi-selection knapsack problem and presents an algorithm for seeking its optimal solution. Multi-selection means that all members of the particular group be selected or excluded. Our branch-and-bound algorithm introduces a simplex containing the feasible region of the original problem to exploit the fact that the most tightly underestimating function on the simplex is linear. In bounding operation, the subproblem defined over the candidate simplex is minimized. During the branching process the candidate simplex is splitted into two one-less dimensional subsimplices by being projected onto two hyperplanes. The approach of this paper can be applied to solving the global minimization problems under various types of the knapsack constraints.

Image Data Loss Minimized Geometric Correction for Asymmetric Distortion Fish-eye Lens (비대칭 왜곡 어안렌즈를 위한 영상 손실 최소화 왜곡 보정 기법)

  • Cho, Young-Ju;Kim, Sung-Hee;Park, Ji-Young;Son, Jin-Woo;Lee, Joong-Ryoul;Kim, Myoung-Hee
    • Journal of the Korea Society for Simulation
    • /
    • v.19 no.1
    • /
    • pp.23-31
    • /
    • 2010
  • Due to the fact that fisheye lens can provide super wide angles with the minimum number of cameras, field-of-view over 180 degrees, many vehicles are attempting to mount the camera system. Not only use the camera as a viewing system, but also as a camera sensor, camera calibration should be preceded, and geometrical correction on the radial distortion is needed to provide the images for the driver's assistance. In this thesis, we introduce a geometric correction technique to minimize the loss of the image data from a vehicle fish-eye lens having a field of view over $180^{\circ}$, and a asymmetric distortion. Geometric correction is a process in which a camera model with a distortion model is established, and then a corrected view is generated after camera parameters are calculated through a calibration process. First, the FOV model to imitate a asymmetric distortion configuration is used as the distortion model. Then, we need to unify the axis ratio because a horizontal view of the vehicle fish-eye lens is asymmetrically wide for the driver, and estimate the parameters by applying a non-linear optimization algorithm. Finally, we create a corrected view by a backward mapping, and provide a function to optimize the ratio for the horizontal and vertical axes. This minimizes image data loss and improves the visual perception when the input image is undistorted through a perspective projection.

A Genetic Algorithm for Trip Distribution and Traffic Assignment from Traffic Counts in a Stochastic User Equilibrium (사용자 평형을 이루는 통행분포와 통행배정을 위한 유전알고리즘)

  • Sung, Ki-Seok
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2006.11a
    • /
    • pp.599-617
    • /
    • 2006
  • A network model and a Genetic Algorithm(GA) is proposed to solve the simultaneous estimation of the trip distribution and traffic assignment from traffic counts in the congested networks in a logit-based Stochastic User Equilibrium (SUE). The model is formulated as a problem of minimizing the non-linear objective functions with the linear constraints. In the model, the flow-conservation constraints of the network are utilized to restrict the solution space and to force the link flows meet the traffic counts. The objective of the model is to minimize the discrepancies between the link flows satisfying the constraints of flow-conservation, trip production from origin, trip attraction to destination and traffic counts at observed links and the link flows estimated through the traffic assignment using the path flow estimator in the legit-based SUE. In the proposed GA, a chromosome is defined as a vector representing a set of Origin-Destination Matrix (ODM), link flows and travel-cost coefficient. Each chromosome is evaluated from the corresponding discrepancy, and the population of the chromosome is evolved by the concurrent simplex crossover and random mutation. To maintain the feasibility of solutions, a bounded vector shipment is applied during the crossover and mutation.

  • PDF

A Digital Up-Down Conversion for Wibro Repeater using IIR Filters having Almost Linear Phase Response (유사 선형 위상 특성을 갖는 IIR 필터군을 이용한 Wibro용 디지털 상하향 변환 연구)

  • Chang, Hyung-Min;Lee, Won-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.34 no.2C
    • /
    • pp.209-216
    • /
    • 2009
  • The repeater for wireless broadband internet (Wibro) system using OFDM demands the short processing delay to eliminate inter-symbol interference resulted from the time delay greater than the guard time. Towards this, the total system delay of repeater is expected to be minimized as possible as it can without distorting signal quality. In general, the FIR-type of filter is commonly deployed as a channelization filter, but due to its large amount of coefficients for producing prerequisite filter response the excessive large time delay occurs. To withstand this problem, the paper proposes the method for designing IIR filter whose response almost identical to that of the original filter. Moreover, in order to linearize the phase response of the designed IIR filter, this paper also introduce the way of designing the all-pass filter to be cascaded works for linearizing phase response of the channelization as well as the de-channelization filter. To achieve the further improvement in linearization of the phase response and reduction of the overall complexity, this paper tries to transform the integrated IIR filter group into the structure in polyphase style. The computer simulation verifies that the integrated IIR filter group designed in this paper reveals the relatively short processing delay without harming the acceptible signal quality.

Comparison of Dynamic Elements Matching Method in the Delta-Sigma Modulators (Dynamic Element Matching을 통한 Multi-bit Delta-Sigma Modulator에서의 DAC Error 감소 방안 비교)

  • Hyun, Deok-Hwan
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.10 no.1
    • /
    • pp.104-110
    • /
    • 2006
  • The advantage of the DSM which employ multi-bit quantizer is the increased SNR at the modulator's output. Typically 6 dB improvement is effected for every one additional bit. But multi-bit quantizer evidently requires multi-bit DAC in the feedback loop. The integral linearity error of the feedback DAC has direct impact upon the system performance and degraded SNR of the system. In order to mitigate the negative impact the DAC has on the system performance, many DEM(Dynamic Element Matching) schemes has been proposed. Among the proposed schemes, four schemes(DER,CLA,ILA,DWA) are explained and its performance has been compared. DWA(Data Weighted Averaging) method shows the best performance of the all.

Optimal Geometric Path and Minimum-Time Motion for a Manipulator Arm (로봇팔의 최적 기하학적 경로 및 시간최소화 운동)

  • Park, Jong-Keun;Han, Sung-Hyun;Kim, Tae-Han;Lee, Sang-Tak
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.12
    • /
    • pp.204-213
    • /
    • 1999
  • This paper suggests a numerical method of finding optimal geometric path and minimum-time motion for a manipulator arm. To find the minimum-time motion, the optimal geometric path is searched first, and the minimum-time motion is searched on this optimal path. In the algorithm finding optimal geometric path, the objective function is minimizing the combination of joint velocities, joint-jerks, and actuator forces as well as avoiding several static obstacles, where global search is performed by adjusting the seed points of the obstacle models. In the minimum-time algorithm, the traveling time is expressed by the linear combinations of finite-term quintic B-splines and the coefficients of the splines are obtained by nonlinear programming to minimize the total traveling time subject to the constraints of the velocity-dependent actuator forces. These two search algorithms are basically similar and their convergences are quite stable.

  • PDF

Station Collocation of Geostationary Spacecraft Via Direct Control of Relative Position (상대위치 직접 제어를 통한 정지궤도 위성의 Collocation에 관한 연구)

  • Lee, Jae-Gyu;No, Tae-Su
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.34 no.5
    • /
    • pp.56-64
    • /
    • 2006
  • Station collocation of closely placed multiple GEO spacecraft is required to avoid the problem of collision risk, attitude sensor interference and/or occultation. This paper presents the method of obtaining the orbit correction scheme for collocating two GEO spacecraft within a small station-keeping box. The relative motion of each spacecraft with respect to the virtual geostationary satellite is precisely expressed in terms of power and trigonometry functions. This closed-form orbit propagator is used to define the constraint conditions which meet the requirements for the station collocation. Finally, the technique of constrained optimization is used to find the orbit maneuver sequence. Nonlinear simulations are performed and their results are compared with those of the classical method.

Impelementation of Optimized MPEG-4 BSAC Audio based on the embedded system (임베디드 시스템 기반 MPEG-4 BSAC 오디오 최적화 구현)

  • Hwang, Jin-Yong;Park, Jong-Soon;Oh, Hwa-Yong;Kim, Byoung-Ii;Chang, Tae-Gyu
    • Proceedings of the KIEE Conference
    • /
    • 2005.10b
    • /
    • pp.361-363
    • /
    • 2005
  • 본 논문에서는 MPEG-4 Version2 Audio 표준에 근거하여 낮은 연산부담을 갖는 독자적인 엘고리즘을 적용한 MPEG-4 BSAC Audio 디코더를 개발하였다. 개발된 BSAC 디코더는 32bit RISC 구조를 갖는 Intel Xscale Processor 기반 시스템에 최적화하여 구현 및 평가를 수행하였다. 수행속도 증가 및 연산 정밀도 향상을 위해 각 기능 블록별 기능 및 구현 원리 연구와 32 bit 연산 구조를 파악하여, 이를 고정소수점 연산 구조로 구현함으로써 성능을 향상시켰다. 유한비트에 따른 오차 영향을 최소화하기 위해 데이터의 표현 범위에 대한 연구를 통해 근사한 오차를 최소화 하여 연산 정밀도를 향상 시키고자 하였다. 비선형 양자화기 및 filter bank 등 상대적으로 높은 연산 부담을 갖는 기능 블록은 Table look-up, 보간법, 지수연산 제거, pre/post scrambling 기법 등을 적용하여 최적화 하였다. 최종적으로 개발된 BSAC 디코더는 32 bit 연산 구조의 X-scale 프로세서를 탑재한 Development Board와 WindowsCE OS로 구성된 타겟 system에 이식하여 performance 평가하였으며, 높은 연산 정밀도 및 다른 수행속도를 확인할 수 있었다. 주관적인 청각 평가에서도 MPEG-4 reference 디코더와의 음원의 차이가 거의 없음을 확인하였다.

  • PDF

Minimum-Time Trajectory Planning for a Robot Manipulator amid Obstacles (로봇팔의 장애물 중에서의 시간 최소화 궤도 계획)

  • 박종근
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.15 no.1
    • /
    • pp.78-86
    • /
    • 1998
  • This paper presents a numerical method of the minimum-time trajectory planning for a robot manipulator amid obstacles. Each joint displacement is represented by the linear combination of the finite-term quintic B-splines which are the known functions of the path parameter. The time is represented by the linear function of the same path parameter. Since the geometric path is not fixed and the time is linear to the path parameter, the coefficients of the splines and the time-scale factor span a finite-dimensional vector space, a point in which uniquely represents the manipulator motion. The displacement, the velocity and the acceleration conditions at the starting and the goal positions are transformed into the linear equality constraints on the coefficients of the splines, which reduce the dimension of the vector space. The optimization is performed in the reduced vector space using nonlinear programming. The total moving time is the main performance index which should be minimized. The constraints on the actuator forces and that of the obstacle-avoidance, together with sufficiently large weighting coefficients, are included in the augmented performance index. In the numerical implementation, the minimum-time motion is obtained for a planar 3-1ink manipulator amid several rectangular obstacles without simplifying any dynamic or geometric models.

  • PDF