• Geomechanics and Engineering
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• 제37권1호
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• pp.1-8
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• 2024

Buckling failure is one of the classical types of catastrophic landslides developing on inclination-paralleled rock slopes, which is mainly governed by its self-weight, earthquake and ground water. However, nearly none of the existing studies fully consider the influence of slope self-weight, earthquake and ground water on the mechanical model of buckling failure. In this paper, based on energy equilibrium principle and elastoplastic slab theory, a thorough mechanical analysis on bucking slopes has been carried out. Furthermore, an analytical solution for slip bucking failure of rock slopes has been proposed, which fully considers the effect of slope self-weight, seismic force and hydrostatic pressure. Finally, the methodology is used to conduct comparative analysis with other analytical solutions for three practical buckling studies. The results show that the proposed approach is capable of providing a more accurate and reasonable evaluation for stability of rock slopes with potential buckling failure.

• Industrial Engineering and Management Systems
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• 제8권4호
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• pp.221-227
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• 2009

There are customer services jointly provided by two facilities so that each customer will complete the course made up of both facilities' sub-services. The two facilities are assumed invested respectively by an infrastructure owner and one subordinate facility owner, whose partnership is built on their capital investments. This paper presents a mathematical model of Stackelberg competition between the two facility owners to derive their optimal Nash equilibrium. In this study, each facility owner's profit is consisted of fixed revenue fractions of sold services, operating costs (including depreciation cost) and maintenance costs of her facility. The maintenance costs of one facility are incurred both by failures and deterioration due to usage. Moreover, for both facilities, failures are rectified immediately by minimal repairs and preventive maintenance is carried out at a fixed time epoch. Additional assumptions are also employed to develop the model such as customer arrivals are manipulated to follow a Poisson process, and each facility's lifetime is independently Weibull-distributed. The Stackelberg game proceeds as follows. At the first stage of decision making process, the infrastructure owner (acting as a leader) decides the allocation of revenue shares based on her self-interest. After observing the allocation of revenue shares, the subordinate facility owner determines her own optimal price of services. This paper investigates actions and reactions of the two partners in the system. Then analytical conditions are proposed to achieve a unique optimal Nash equilibrium. Finally, some suggestions for further research are discussed.

• 대한수학회지
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• 제34권3호
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• pp.731-770
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• 1997

We study Diriclet forms and related subjects for the Gibbs measures of classical unbounded sping systems interacting via potentials which are superstable and regular. For any Gibbs measure $\mu$, we construct a Dirichlet form and the associated diffusion process on $L^2(\Omega, d\mu), where \Omega = (R^d)^Z^\nu$. Under appropriate conditions on the potential we show that the Dirichlet operator associated to a Gibbs measure $\mu$ is essentially self-adjoint on the space of smooth bounded cylinder functions. Under the condition of uniform log-concavity, the Gibbs measure exists uniquely and there exists a mass gap in the lower end of the spectrum of the Dirichlet operator. We also show that under the condition of uniform log-concavity, the unique Gibbs measure satisfies the log-Sobolev inequality. We utilize the general scheme of the previous works on the theory in infinite dimensional spaces developed by e.g., Albeverio, Antonjuk, Hoegh-Krohn, Kondratiev, Rockner, and Kusuoka, etc, and also use the equilibrium condition and the regularity of Gibbs measures extensively.

• Smart Structures and Systems
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• 제9권2호
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• pp.189-206
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• 2012

This paper focuses on the actuation system combined with a piezoelectric transducer and an electric circuit, which leads to a new insight; the electric actuation system is equivalent to mechanical variable-stiffness actuation systems. By controlling the switch in the circuit, the electric status of the piezoelectric transducer is changed, and consequently a variable-stiffness mechanism is achieved on the electric actuator. This proposed actuator features a shift in the equilibrium point of force, while conventional electrically-induced variable-stiffness actuators feature the variation of the stiffness value. We intensively focus on the equilibrium shift in the actuation system, which has been neglected. The stiffness of the variable-stiffness actuator is periodically modulated by controlling the switch, to suppress the vibration of the system in an open-loop way. It is proved that this electric actuator is equivalent to its mechanical counterpart, and that the electrical version has some practical advantages over the mechanical one. Furthermore, another kind of electrically-induced variable-stiffness actuator, using an energy-recycling mechanism is also discussed from the viewpoint of open-loop vibration control. Extensive numerical simulations provide comprehensive assessment on both electrically-induced variable-stiffness actuators employed for open-loop vibration control.

• 광물과 암석
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• 제36권3호
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• pp.199-212
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• 2023

확산은 지구물질은 물론 운석과 같은 우주물질의 원소 및 동위원소 연구에서 매우 유용하게 활용될 수 있다. 고온의 태양계 성운에서 일어난 확산과 상대적으로 저온의 소행성에서 일어난 열수 변질 과정에서의 확산 양상은 다르기 때문에 광물에 기록된 원소 및 동위원소 확산에 대한 모델 수립은 초기 태양계 진화를 이해하는데 있어 특히 중요하다. 광물 입자 경계를 따라 일어나는 빠른 입계 확산은 닫힌계에서 구성 광물간 원소 또는 동위원소의 교환을 수치 모델화하는데 유용하며, 본 연구에서는 유한차분법을 이용하였다. 수립된 빠른 입계 확산 수치 모델은 1) CH 콘드라이트의 아메바 형태 감람석 집합체(amoeboid olivine aggregate; AOA)내 사장석의 마그네슘-26(²⁶Mg) 동위원소 조성 변화와 2) CO 콘드라이트의 콘드률, AOA, 기질 구성 광물간 Fe-Mg 상호 확산에 적용되었다. 빠른 입계 확산을 통해 광물 결정의 표면에서는 평형상태에 도달할 수 있다는 가정에 기반해서 평형상태 동위원소 질량 분배(equilibrium isotopic fractionation)와 평형상태 원소 분배(equilibrium partitioning)도 수치 모델에 포함하였다. 모델을 통해 닫힌계를 구성하는 구성 광물간 원소 또는 동위원소의 교환과 확산으로 실제 운석에서 관찰된 원소 및 동위원소 조성 분포를 설명할 수 있음을 보였다. 또한 암석을 구성하는 광물이 여러 종류일 경우에 폐쇄 온도는 확산이 가장 느린 광물종에 의해서만 결정되는 것이 아니라 전체 광물들의 함량비에도 크게 영향을 받는다는 것을 확인할 수 있었다.

• 대한한의학원전학회지
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• 제29권2호
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• pp.135-150
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• 2016

Objectives : KangHaiChengZhiLun (亢害承制論; If Excess Brings Harm, Lifing Qi (承氣) Restrains) was originally a theory that explained how the realms of nature remain in harmony and equilibrium. It later became an important theory for clinical trials of Traditional Chinese Medicine, explaining the physiological and pathological mechanism. Methods : The researcher considered all the annotations and the original text of SuWen(素問), LiuWeiZhiDaLun(六微旨大論) and theories of medical practitioners who applied KangHaiChengZhiLun(亢害承制論) to their clinical trials. Results & Conclusions : Wangbing (王氷) went with a theory that phenomena of Lifting Qi (承氣) take place in the realms of nature when Qi (氣) flourishes. In XinJiaoZheng(新校正), he wrote about two theories: one was that Six Kinds of Natural Factors (六氣) first work as the main Qi (本氣) but later bring about Lifting Qi. (終見下承之氣說); the other was that excessive Stagnation Qi (鬱氣) can be exploded and invite another accompanying Qi, Lifting Qi. (甚者兼其下承之氣說) Liuwansu (劉完素) had a theory that if Six Kinds of Natural Factors go disproportionately excessive, it becomes accompanied by imaginary Qi (假象) that conquers self. (反兼勝己之化說) $Wangl{\ddot{u}}$(王履) maintained that Lifting Qi usually works as a means to prevent Six Kinds of Natural Factors (六氣) from becoming rampant; but when Six Kinds of Natural Factors become overly excessive, Lifting Qi restrains them in order to maintain equilibrium. (防之與克勝說) Yutuan explained that since Excessive Qi (亢氣) does damage to the mother of Lifting Qi, Lifting Qi restrains Excessive Qi to protect Original Qi (元氣), its mother. (護救承者之元氣說) Gongtingxian was in favor of two theories: one argued that causes and symptoms of a disease differ from each other. (體用不同說); the other said that diseases are naturally cured if the patient finds out the time when Lifting Qi gains strength. (得承之時自愈說) Mashi (馬蒔) had a theory that Lifting Qi is generated when Six Kinds of Natural Factors are prosperous and reveals itself when its season comes. (極則生承氣 至本位著說) Zhangjiebin (張介賓) asserted that when Six Kinds of Natural Factors are thriving, Lifting Qi, as a restraining force, is generated to disperse the thriving natural factors and leads to a new one. (前之退而後之進說) Zhangqi (張琦)'s argument was that if Lifting Qi restrains the main Qi, a son of the main Qi is generated and every four season goes in harmony. (承氣制則生化說) Hemengyao (何夢瑤) had an argument that a son of the restrained Qi succeeds to its father and later achieves equilibrium by restraining Excessive Qi. (被克承父 制之平衡說).

• 전자공학회논문지A
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• 제30A권3호
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• pp.76-87
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• 1993

We present a self-consistent, 2-dimensional solution of the Poisson and Sch rodinger equation based on the finite difference method with a nonuniform mesh size for a AlGaAs/GaInAs/GaAs HEMT devide. During the interative self-consistent calculation, however, we calculate Schrodinger equation only a some region of device, not a fully region in order to save the moemory and the speed-up of computation, and then use the approximated data for the other region using by a interpolation method with a given values. Also we adopt the proper matrix transformation method that allows preservation of the symmetric, form of the discretized Schrodinger equation, even with the use of a nonumiform mesh size, therefor, can reduce the computation time. We calculate the wavefunction, eigenstates and the electron concentration uat channel layer nder the thermal equilibrium and the biased conditions, respectively. Also,these parameters are used to solve 2-dimensional tdistribution of potential in he entire region of device. It is proved that the method is very efficient in finding eigenstages extending over relatively large spatial area without loss of accuracy. So, it can be used rather easily in any sarbitrary modulation doped utucture.

• 천문학회보
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• 제36권1호
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• pp.54.1-54.1
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• 2011

Formation of self-gravitating gas clouds and hence stars in galaxies is a consequence of both thermal and dynamical evolution of a gaseous medium. Using hydrodynamics simulations including cooling and heating explicitly, we follow simultaneously thermal and dynamical evolution of galactic gas disks to study dynamics and structures of galactic spiral shocks with thermal instability and regulation of the star formation rates (SFRs). We first perform one-dimensional simulations in direction perpendicular to spiral arms. The multiphase gas flows across the arm soon achieve a quasi-steady state characterized by transitions from warm to cold phases at the shock and from cold to warm phases in the postshock expansion zone, producing a substantial fraction of intermediate-temperature gas. Next, we allow a vertical degree of freedom to model vertically stratified disks. The shock front experiences unsteady flapping motions, driving a significant amount of random gas motions, and self-gravity promotes formation of bound clouds inside spiral arms. Finally, we include the star formation feedback in both mechanical (due to supernova explosion) and radiative (due to FUV heating by young stars) forms in the absence of spiral arms. At saturation, gravitationally bound clouds form via thermal and gravitational instabilities, which are compensated by disruption via supernova explosions. We find that the FUV heating regulates the SFRs when gas surface density is low, confirming the prediction of the thermal and dynamical equilibrium model of Ostriker et al. (2010) for star formation regulation.

• Smart Structures and Systems
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• 제8권3호
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• pp.275-302
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• 2011

This is a review paper on mathematical modeling of actively controlled piezo smart structures. Paper has four sections to discuss the techniques to: (i) write the equations of motion (ii) implement sensor-actuator design (iii) model real life environmental effects and, (iv) control structural vibrations. In section (i), methods of writing equations of motion using equilibrium relations, Hamilton's principle, finite element technique and modal testing are discussed. In section (ii), self-sensing actuators, extension-bending actuators, shear actuators and modal sensors/actuators are discussed. In section (iii), modeling of thermal, hygro and other non-linear effects is discussed. Finally in section (iv), various vibration control techniques and useful software are mentioned. This review has two objectives: (i) practicing engineers can pick the most suitable philosophy for their end application and, (ii) researchers can come to know how the field has evolved, how it can be extended to real life structures and what the potential gaps in the literature are.

• 한국공간구조학회논문집
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• 제13권1호
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• pp.59-67
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• 2013

This paper presents a new numerical method to analyse tensegrity structures by using singular value decomposition and force method. The tensegrity system consisting of compressive and tensle elements are pin-jointed system. Tensegrity structures, unlike the general structure should be preceded by form-finding. Tensegrity structures form-finding of the self-equilibrium stress stability, seeking to have the process. In this study, tensegrity structures when subjected to external loads, find the optimal pre-stress values was studied.