• Title/Summary/Keyword: Constraint equation

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Directional Variation of Apparent Elastic Constants and Associated Constraints on Elastic Constants in Transversely Isotropic Rocks (횡등방성 암석에서 겉보기 탄성정수의 방향성 변화와 탄성정수 제약조건)

  • Youn-Kyou Lee
    • Tunnel and Underground Space
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    • v.33 no.3
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    • pp.150-168
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    • 2023
  • The anisotropic behavior of rocks is primarily attributed to the directional arrangement of rock-forming minerals and the distribution characteristics of microcracks. Notably, sedimentary and metamorphic rocks often exhibit distinct transverse isotropy in terms of their strength and deformation characteristics. Consequently, it is crucial to gain accurate insights into the deformation and failure characteristics of transversely isotropic rocks during rock mechanics design processes. The deformation of such rocks is described by five independent elastic constants, which are determined through laboratory testing. In this study, the characteristics of the directional variation of apparent elastic constants in transversely isotropic rocks were investigated using experimental data reported in the literature. To achieve this, the constitutive equation proposed by Mehrabadi & Cowin was introduced to calculate the apparent elastic constants more efficiently and systematically in a rotated Cartesian coordinate system. Four transversely isotropic rock types from the literature were selected, and the influence of changes in the orientation of the weak plane on the variations of the apparent elastic modulus, apparent shear modulus, and apparent Poisson's ratio was analyzed. Based on the investigation, a new constraint on the elastic constants has been proposed. If the proposed constraint is satisfied, the directional variation of the apparent elastic constants in transversely isotropic rocks aligns with intuitive predictions of their tendencies.

The Multi-objective Optimal Design of Thermopile Sensor Having Beam or Membrane Structure (빔 혹은 멤버레인 구조를 가지는 써모파일 센서의 다목적 최적설계)

  • Lee, Jun-Bae;Kim, Tae-Yoon
    • Journal of Sensor Science and Technology
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    • v.6 no.1
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    • pp.6-15
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    • 1997
  • This paper presents the multi-objective optimal design of thermopile sensor having beam or membrane structure. The thermopile sensor is composed of $Si_{3}N_{4}/SiO_{2}$ dielectric membrane, Al-polysilicon thermocouples and $RuO_{2}$ thin film for black body. The sensing method is based on the Seebeck effect which is originated from the temperature difference of the two positions, black body and silicon rim. The objective functions of the presented design are sensitivity, detectivity and thermal time constant. The modelling of the sensor is proposed including the package. The multi-objective optimization technique is applied to the design of the sensor not only inspecting the modelling equation but also simulating mathematical programming method. Especially, fuzzy optimization technique is adapted to get the optimal solution which enables the designer to reach the more practical solution. The design constraint of the voltage output originated from the change of the environmental temperature is included for practical use.

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Analysis Method for Multi-Flexible-Body Dynamics Solver in RecurDyn (RecurDyn 솔버에 적용되어 있는 유연 다물체 동역학에 대한 해석기술)

  • Choi, Juhwan;Choi, Jin Hwan
    • Transactions of the KSME C: Technology and Education
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    • v.3 no.2
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    • pp.107-115
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    • 2015
  • The analysis of multi-flexible-body dynamics (MFBD) has been an important issue in the area of the computational dynamics. This technique has been developed and improved in RecurDyn solver. This paper reviews the formulation which is applied in the RecurDyn solver. Basically, in order to solve the multi-flexible-body dynamics problem, an incremental finite element formulation using a corotational procedure is used. In particular, in order to solve the rigid and flexible bodies together, a constraint equation between a rigid body and a flexible body is applied, in which a virtual body and a flexible body joint are introduced.

Development of a Quasi-Three Dimensional Train/Track/Bridge Interaction Analysis Program for Evaluating Dynamic Characteristics of High Speed Railway Bridges (고속철도 교량의 동특성 해석을 위한 준3차원 차량/궤도/교량 상호작용 해석기법의 개발)

  • 김만철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.141-151
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    • 2003
  • Railway bridges are subject to dynamic loads generated by the interaction between moving vehicles and the bridge structures. These dynamic loads result in response fluctuations in bridge members. To investigate the real dynamic behavior of the bridge, therefore, a number of analytical and experimental Investigations should be carried out. In this paper, a train/track/bridge interaction analysis program for evaluating the dynamic characteristics of bridges due to KTX operation in terms of structural safety, operational safety and passenger comfort is developed. To build a practical model of train/track/bridge, Hertzian spring for wheel/rail contact modeling and Winkler element for ballast are applied. This program also used torsional degree of freedom and constraint equation based on geometrical relationship in order to take into consideration three-dimensional eccentricity effect due to the operation on double track through quasi-three dimensional analysis. To verify the developed Program, comparison has been made between the measured results and those of simulation of the typical PSC box bridge(2@40m=80m) of the KHSR bridges.

Advaced analysis and optimal design of steel arch bridges (강아치교의 고등해석과 최적설계)

  • Choi, Se Hyu
    • Journal of Korean Society of Steel Construction
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    • v.17 no.1 s.74
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    • pp.13-21
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    • 2005
  • Advanced analysis and optimal design of steel arch bridges is presented. In the design method using an advanced analysis, separate member capacity checks after analysis are not required because the stability and strength of the structural system and its component members can be rigorously treated in the analysis. The geometric nonlinearity is considered by using the stability function. The Column Research Council tangent modulus is used to account for gradual yielding due to residual stresses. A parabolic function is used to represent the transition from elastic to zero stiffness associated with a developing hinge. An optimization technique used is a modified section increment method. The member with the largest unit value evaluated by AASHTO-LRFD interaction equation is replaced one by one with an adjacent larger member selected in the database. The objective function is taken as the weight of the steel arch bridge and the constraint functions account for load-carrying capacities and deflection requirements. Member sizes determined by the proposed method are compared with those given by other approaches.

Measuring the Effects of Value, Customer Satisfaction and Loyalty on Tourists' Behavioral Intention for Restaurants in Icheon Area (이천 지역 음식점에 대한 관광객 행동 의도에 미치는 가치, 고객 만족과 충성도의 영향 평가)

  • Lee, Jae-Kon
    • Culinary science and hospitality research
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    • v.15 no.4
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    • pp.187-199
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    • 2009
  • The objective of the research is to investigate the causal relationships among functional value, emotional value, social value, perceived sacrifice, satisfaction, loyalty and behavioral intention. All in all, 296 respondents completed a questionnaire themselves in the presence of an interviewer who could be consulted about the response scales and other technical matters. Behavioral intention models were estimated by structural equation modelling using 7 latent constructs. The results demonstrated that the confirmatory factor analysis model provided a good model fit. The unconstrained model yielded a significantly better fit to the data than the constraint model. The effects of functional value and social value on satisfaction and behavioral intention were statistically significant. The effects of perceived sacrifice, satisfaction and loyalty on behavioral intention were statistically significant. As expected, satisfaction had a significant effect on loyalty. Functional value had an indirect effect on behavioral intention through satisfaction and loyalty. Moreover, social value had an indirect effect on behavioral intention through satisfaction and loyalty. Replicating and extending this study in other regions and other samples would test the generalizability of the present findings and provide a basis for an external validation of the framework developed in this paper.

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On Motion Planning for Human-Following of Mobile Robot in a Predictable Intelligent Space

  • Jin, Tae-Seok;Hashimoto, Hideki
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.1
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    • pp.101-110
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    • 2004
  • The robots that will be needed in the near future are human-friendly robots that are able to coexist with humans and support humans effectively. To realize this, humans and robots need to be in close proximity to each other as much as possible. Moreover, it is necessary for their interactions to occur naturally. It is desirable for a robot to carry out human following, as one of the human-affinitive movements. The human-following robot requires several techniques: the recognition of the moving objects, the feature extraction and visual tracking, and the trajectory generation for following a human stably. In this research, a predictable intelligent space is used in order to achieve these goals. An intelligent space is a 3-D environment in which many sensors and intelligent devices are distributed. Mobile robots exist in this space as physical agents providing humans with services. A mobile robot is controlled to follow a walking human using distributed intelligent sensors as stably and precisely as possible. The moving objects is assumed to be a point-object and projected onto an image plane to form a geometrical constraint equation that provides position data of the object based on the kinematics of the intelligent space. Uncertainties in the position estimation caused by the point-object assumption are compensated using the Kalman filter. To generate the shortest time trajectory to follow the walking human, the linear and angular velocities are estimated and utilized. The computer simulation and experimental results of estimating and following of the walking human with the mobile robot are presented.

Effects of Flexural Rigidity of Center Tower in Four-Span Suspension Bridges (4경간 현수교에서의 중앙주탑 휨강성의 영향)

  • Gwon, Sun-Gil;Yoo, Hoon;Choi, Dong-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.1
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    • pp.49-60
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    • 2014
  • For simple and accurate analysis for behaviors of multi-span suspension bridges which are expected to be frequently constructed as strait-crossing bridges, the deflection theory as the peculiar theory of a suspension bridge can be applied. This paper performs a structural analysis for four-span suspension bridges using the deflection theory. Simply-supported beams with tension are used for girders and the deflections of the beams due to the vertical loads and moments at supports are calculated. The calculation is performed iteratively until the deflections satisfy the compatibility equations of cables. The results of the deflection theory analysis considering tower rigidity are compared with those of the finite element analysis for verification. Importance of the tower rigidity for four-span suspension bridges is confirmed using various compatibility equations of the cable due to variation of the constraint conditions between main cable and top of towers. In addition, the simple parametric analysis for variation of the center tower rigidity is performed.

Shape optimal design of a 2-D heat transfer system with the isoparametric finite element (等係數 유한요소를 사용한 2차원 열전달시스템의 형상 최적설계)

  • 유영면;박찬우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.82-87
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    • 1987
  • In this study a method of shape optimization is applied to two dimensional heat transfer system. For this the optimization problem is defined in a functional form including cost, constraints and the system governing equation. Then the material derivative concept in continuum mechanics and the adjoint variable method are employed for the shape design sensitivity analysis. With the sensitivity analysis results, an optimum is sought with the gradient projection optimization algorithm. The two dimensional isoparametric finite elements are used for accurate analysis and sensitivity calculations. The above method is employed to find the boundary shape to achieve a desired temperature distribution along a segment of the boundary subject to the maximum area constraint.

A Study on the Design of Dynamic System and Vibration Isolation System in a High-speed Press (고속프레스의 다이나믹 시스템 및 방진시스템 설계에 관한 연구)

  • Suh, Jin Sung;Jeong, Chel-Jea;Hyeon, Gi-Yong;Ryoo, Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.12
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    • pp.856-865
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    • 2015
  • In a high-speed press, numerous moving links are interconnected and each link executes a constrained motion at high speed. As a consequence, high-level dynamic unbalance force and unbalance moment are transmitted to the main frame of the press, which results in unwanted vibration and significantly degrades manufacturing accuracy. Dynamic unbalance force and unbalance moment inevitably transmits high-level vibrational force to the foundation on which the press is installed. Minimizing the vibrational force transmitted to the foundation is critical for the protection of both the operators and the surrounding structures. The whole task should be carried out in two steps. The first step is to reduce dynamic unbalance based upon kinematic and dynamic analyses. The second step is to design and build an optimal vibration isolation system minimizing the vibrational force transmitted to the foundation. Firstly, the dynamic design method is presented to reduce dynamic unbalance force and moment. For this a 3D CAD software was utilized and a computer program was written to compute dynamic unbalance force and moment. Secondly, the design method for vibration isolation system is presented. The method for designing coil springs and viscous dampers are explained in detail.