• Title/Summary/Keyword: implicit functions

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Risk Assessment for a Bridge System Based upon Response Surface Method Compared with System Reliability (체계신뢰성 평가와 비교한 응답면기법에 의한 교량시스템의 위험성평가)

  • Cho, Tae-Jun;Moon, Jae-Woo;Kim, Jong-Tae
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.295-300
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    • 2007
  • Probabilistic Risk Assessment considering statistically random variables is performed for the preliminary design of a Arch Bridge. Component reliabilities of girders have been evaluated using the response surfaces of the design variables at the selected critical sections based on the maximum shear and negative moment locations. Response Surface Method (RSM) is successfully applied for reliability analyses for this relatively small probability of failure of the complex structure, which is hard to be obtained by Monte-Carlo Simulations or by First Order Second Moment Method that can not easily calculate the derivative terms of implicit limit state functions. For the analysis of system reliability, parallel resistance system composed of girders is changed into parallel series connection system. The upper and lower probabilities of failure for the structural system have been evaluated and compared with the suggested prediction method for the combination of failure modes. The suggested prediction method for the combination of failure modes reveals the unexpected combinations of element failures in significant]y reduced time and efforts compared with the previous permutation method or system reliability analysis method.

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Kinematic of 7 D.O.F. Exoskeleton-Type Master Arm Estimating Human Arm's Motion (사람팔의 운동을 추정하는 7자유도 골격형 마스터암의 기구학 연구)

  • Sin, Wan-Jae;Park, Jong-Hyun;Park, Jahng-Hyeon;Park, Jong-Oh
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.9
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    • pp.796-802
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    • 2000
  • A master-slave system for teleoperation is usually used to control the robor's motion on remote place such as abyss, outer space etc.. When the slave robot is a humanoid one, it can make a better performance if the configuration of the master arm is similar to that of the slave arm and of the human. The master arm proposed in this paper has a type to be put on the human arm, that is, the exoskeleton type, and has a combination of serial joint and parallel mechanism imitating the human's arm structure of muscles and bones, so called hybrid mechanism so that it can follow arm's movement effectively. But it is easy to solve the forward kinematis of the parallel structure because relating equations are implicit functions. In order to solve that, the virtual joint angle corresponding to human arm's joint is introduced and a sequential computation step is employed in calculating virtual joint angles and the posture of the end effector. Also validity is checked up through computational simulation.

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Task Based Design of a Two-DOF Manipulator with Five-Bar Link Mechanism (5절 링크구조를 갖는 2자유도 매니퓰레이터의 작업지향설계)

  • Kim, Jin-Young;Cho, Hyung-Suck
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.1
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    • pp.66-72
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    • 2000
  • As the demand for the design of modular manipulators or special purpose manipulators has increased, task based design to design an optimal manipulator for a given task become more and more important. However, the complexity with a large number of design parameters, and highly nonlinear and implicit functions are characteristics of a general manipulator design. To achieve the goal of task based design, it is necessary to develop a methodology to solve the complexity. This paper addresses how to determine the kinematic parameters of a two-degrees of freedom manipulator with parallelogram five-bar link mechanism from a given task, namely, how to map a given task into the kinematic parameters. With simplified example of designing a manipulator with five-bar link mechanism, the methodology for task based design is presented. And it introduces formulations of a given task and manipulator specifications, and presents a new dexterity measure for manipulator design. Also the optimization problem with constraints is solved by using a genetic algorithm that provides robust search in complex spaces.

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Member Design of Frame Structure Using Genetic Algorithm (유전자알고리즘에 의한 골조구조물의 부재설계)

  • Lee, Hong-Woo
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.91-98
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    • 2004
  • Genetic algorithm is one of the best ways to solve a discrete variable optimization problem. This method is an unconstrained optimization technique, so the constraints are handled in an implicit manner. The most popular way of handling constraints is to transform the original constrained problem into an unconstrained problem, using the concept of penalty function. I present the 3 fitness functions which represent the reject strategy, the penalty strategy, and the combined strategy. I make the design program using the 3 fitness Auctions and it is applied to the design problem of a gable frame and a 2 story 3 span frame.

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An efficient response surface method considering the nonlinear trend of the actual limit state

  • Zhao, Weitao;Qiu, Zhiping;Yang, Yi
    • Structural Engineering and Mechanics
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    • v.47 no.1
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    • pp.45-58
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    • 2013
  • In structural reliability analysis, the response surface method is a powerful method to evaluate the probability of failure. However, the location of experimental points used to form a response surface function must be selected in a judicious way. It is necessary for the highly nonlinear limit state functions to consider the design point and the nonlinear trend of the limit state, because both of them influence the probability of failure. In this paper, in order to approximate the actual limit state more accurately, experimental points are selected close to the design point and the actual limit state, and consider the nonlinear trend of the limit state. Linear, quadratic and cubic polynomials without mixed terms are utilized to approximate the actual limit state. The direct Monte Carlo simulation on the approximated limit state is carried out to determine the probability of failure. Four examples are given to demonstrate the efficiency and the accuracy of the proposed method for both numerical and implicit limit states.

Probabilistic stability analysis of rock slopes with cracks

  • Zhu, J.Q.;Yang, X.L.
    • Geomechanics and Engineering
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    • v.16 no.6
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    • pp.655-667
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    • 2018
  • To evaluate the stability of a rock slope with one pre-exiting vertical crack, this paper performs corresponding probabilistic stability analysis. The existence of cracks is generally ignored in traditional deterministic stability analysis. However, they are widely found in either cohesive soil or rock slopes. The influence of one pre-exiting vertical crack on a rock slope is considered in this study. The safety factor, which is usually adopted to quantity the stability of slopes, is derived through the deterministic computation based on the strength reduction technique. The generalized Hoek-Brown (HB) failure criterion is adopted to characterize the failure of rock masses. Considering high nonlinearity of the limit state function as using nonlinear HB criterion, the multivariate adaptive regression splines (MARS) is used to accurately approximate the implicit limit state function of a rock slope. Then the MARS is integrated with Monte Carlo simulation to implement reliability analysis, and the influences of distribution types, level of uncertainty, and constants on the probability density functions and failure probability are discussed. It is found that distribution types of random variables have little influence on reliability results. The reliability results are affected by a combination of the uncertainty level and the constants. Finally, a reliability-based design figure is provided to evaluate the safety factor of a slope required for a target failure probability.

Multi-factor Evolution for Large-scale Multi-objective Cloud Task Scheduling

  • Tianhao Zhao;Linjie Wu;Di Wu;Jianwei Li;Zhihua Cui
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.4
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    • pp.1100-1122
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    • 2023
  • Scheduling user-submitted cloud tasks to the appropriate virtual machine (VM) in cloud computing is critical for cloud providers. However, as the demand for cloud resources from user tasks continues to grow, current evolutionary algorithms (EAs) cannot satisfy the optimal solution of large-scale cloud task scheduling problems. In this paper, we first construct a large- scale multi-objective cloud task problem considering the time and cost functions. Second, a multi-objective optimization algorithm based on multi-factor optimization (MFO) is proposed to solve the established problem. This algorithm solves by decomposing the large-scale optimization problem into multiple optimization subproblems. This reduces the computational burden of the algorithm. Later, the introduction of the MFO strategy provides the algorithm with a parallel evolutionary paradigm for multiple subpopulations of implicit knowledge transfer. Finally, simulation experiments and comparisons are performed on a large-scale task scheduling test set on the CloudSim platform. Experimental results show that our algorithm can obtain the best scheduling solution while maintaining good results of the objective function compared with other optimization algorithms.

Transient heat transfer of unidirectional (1D) and multidirectional (2D/3D) functionally graded panels

  • Samarjeet Kumar;Vishesh Ranjan Kar
    • Steel and Composite Structures
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    • v.49 no.5
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    • pp.587-602
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    • 2023
  • This article presents the numerical modelling of transient heat transfer in highly heterogeneous composite materials where the thermal conductivity, specific heat and density are assumed to be directional-dependent. This article uses a coupled finite element-finite difference scheme to perform the transient heat transfer analysis of unidirectional (1D) and multidirectional (2D/3D) functionally graded composite panels. Here, 1D/2D/3D functionally graded structures are subjected to nonuniform heat source and inhomogeneous boundary conditions. Here, the multidirectional functionally graded materials are modelled by varying material properties in individual or in-combination of spatial directions. Here, fully spatial-dependent material properties are evaluated using Voigt's micromechanics scheme via multivariable power-law functions. The weak form is obtained through the Galerkin method and solved further via the element-space and time-step discretisation through the 2D-isoparametric finite element and the implicit backward finite difference schemes, respectively. The present model is verified by comparing it with the previously reported results and the commercially available finite element tool. The numerous illustrations confirm the significance of boundary conditions and material heterogeneity on the transient temperature responses of 1D/2D/3D functionally graded panels.

Developing Merchantable Stem Volume Models for Major Commercial Species in South Korea (우리나라 주요 경제수종의 이용재적모델 개발)

  • Lee, Daesung;Lee, Jungho;Seo, Yeongwan;Choi, Jungkee
    • Journal of Korean Society of Forest Science
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    • v.106 no.4
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    • pp.480-486
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    • 2017
  • This study was conducted to develop the merchantable stem volume models to predict the volume up to upper diameter or upper height out of the total stem volume, targeting on Pinus densiflora, Pinus koraiensis, and Larix kaempferi in South Korea. The 131 stemmed sample trees for stem analysis were used as the data for developing the models. The six kinds of merchantable volume equations including merchantable volume ratio form, ratio form, and exponential ratio form were examined to develop the best models. The two models were finally selected as the best models to predict the merchantable volume: $V_d=V_t\{{\exp}[{\alpha}_1(d^{{\alpha}_2}/D^{{\alpha}_3})]\}$ for upper diameter and $V_h=V_t\{1+{\beta}_1(P^{{\beta}_2}/H^{{\beta}_3})\}$ for upper height. By rearranging the best model equations, implicit taper functions were derived, and the estimation was performed for the upper height by upper diameter and upper diameter by upper height. Because of not only the high accuracy but also the convenience, the models developed in this study were considered to be easily applicable in the field of forestry.

A Qualitative Study on the Exploration of the Constructs of the Characteristics of At-Risk Learners in the Blind Spots of Education (일반교사가 지각하는 교육사각지대 학습자 특성의 구성개념 탐색 - CQR-M을 중심으로 -)

  • Choi, Sumi;Yu, In-Hwa;Kim, Dong-il;Park, Ae Shil
    • (The) Korean Journal of Educational Psychology
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    • v.32 no.3
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    • pp.421-442
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    • 2018
  • This study aimed to explore the constructs of the characteristics of at-risk learners with diverse educational needs in the blind spots of education, in order to understand them comprehensively and detect them early in schools. Participants were 156 elementary, middle, and high school teachers who filled out a semi-structured questionnaire consisting of open questions about their implicit knowledge of the characteristics of at-risk learners in the blind spots of education. Qualitative data were analyzed using a modified consensual qualitative research method. The main findings of this study are as follows. First, five domains and 16 categories were derived as the main constructs of the characteristics of learners in the blind spots of education. Second, the most listed of the five domains was the "domain of low learning and cognition," whereas the least listed domain was the "everyday life domain." Finally, deficiencies of interpersonal skills and interactive communications and categories related to family structure and functions frequently appeared among the 16 categories. Based on these results, implications and potentials for follow-up studies were further discussed.