• Title/Summary/Keyword: minimum potential energy

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On the Size of Quantum Dots with Bound Hydrogenic Impurity States

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.30 no.2
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    • pp.315-318
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    • 2009
  • Some particular bound state energies of an electron, under Coulomb potential field, confined in a two-dimensional circle and a three-dimensional sphere are analytically derived. The derivation shows that the electron cannot be bound in a negative energy state when the circle (or sphere) is smaller than a certain critical size. The critical size dependency on the strength of Coulomb potential and the angular momentum of the electron is also analytically derived. This system mimics quantum dots. Therefore the derivation provides new information on a minimum critical size of quantum dots with hydrogenic impurity.

Stability Analysis of Stiffened Thin Plates Using Energy Method (에너지법을 이용한 보강된 박판의 안정성해석)

  • KIM, Moon Young;MIN, Byoung Cheol
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.55-65
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    • 1996
  • For stability analysis of stifened rectangular thin plates with various boundary conditions, Ritz method is presented. An energy method is especially useful in those cases where a rigorous solution of the diferential eqution is unknown or where we have a plate reinforced by stiffeners and it is required to find only an approximate value of the critical load. The strain energy due to the plate bending and the work done by the in-plane forces are taken into account in order to apply the principle of the minimum potential energy. The buckling mode shapes of flexural beams with various boundary conditions are derived, and shape functions consistent with the given boundary conditions in the two orthogonal directions are chosen from those displacement functions of beams. The matrix equations for stability of stiffened rectangular thin plates are determined from the stationary condition of the total potential energy. Numerical example for stability behaviors of horizontally and vertically stiffened plates subjected to uniform compression, bending and shear loadings are presented and the obtained results are compared with other researchers' results.

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A Study on Firing Risk Assessment of Film Manufacturing Process (필름제조 공정의 착화 위험성에 관한 연구)

  • Min, Se-Hong;Heo, Won-Il
    • Fire Science and Engineering
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    • v.25 no.3
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    • pp.107-112
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    • 2011
  • We have considered the fire hazard by the static in anti-static film manufacturing factory on this study. Solvents that the flash point as ethanol, methanol and iso-propyl alcohol is low are used on the manufacturing process of anti-static film, and the minimum ignition energy of these solvents is ignited easily despite less discharge energy form 0.16 mJ to 0.65 mJ. After the static electric potential produced on each of the manufacturing plants was measured, electric potential on films of paste board is measured form 17 kV to 20 kV. But this exceeds 5 kV, which is electrifiable of objective of nonconductor for fire & explode protection. Therefore, We figure out the fire hazard was high by a static discharge in anti-static film manufacturing factory.

Semi-active leverage-type isolation system considering minimum structural energy

  • Lin, Tzu-Kang;Lu, Lyan-Ywan;Chen, Chi-Jen
    • Smart Structures and Systems
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    • v.21 no.3
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    • pp.373-387
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    • 2018
  • Semi-active isolation systems based on leverage-type stiffness control strategies have been widely studied. The main concept behind this type of system is to adjust the stiffness in the isolator to match the fundamental period of the isolated system by using a simple leverage mechanism. Although this system achieves high performance under far-field earthquakes, it is unsuitable for near-fault strong ground motion. To overcome this problem, this study considers the potential energy effect in the control law of the semi-active isolation system. The minimal energy weighting (MEW) between the potential energy and kinetic energy was first optimized through a series of numerical simulations. Two MEW algorithms, namely generic and near-fault MEW control, were then developed to efficiently reduce the structural displacement responses. To demonstrate the performance of the proposed method, a two-degree-of-freedom structure was employed as a benchmark. Numerical results indicate that the dynamic response of the structure can be effectively dampened by the proposed MEW control under both far-field and near-fault earthquakes, whereas the structural responses resulting from conventional control methods may be greater than those for the purely passive control method. Moreover, according to experimental verifications, both the generic and near-fault MEW control modes yielded promising results under impulse-like earthquakes. The practicability of the proposed control algorithm was verified.

Electric field strength effect on bi-stability of composite thin cylindrical shell with piezoelectric layer

  • Yaopeng Wu;Nan Zheng;Yaohuan Wu;Quan Yang
    • Structural Engineering and Mechanics
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    • v.89 no.6
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    • pp.571-578
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    • 2024
  • The bistable thin cylindrical shell is developable structure with the ability to transition between its two stable configurations. This structure offers significant potential applications due to its excellent deformability. In this paper, the composite thin cylindrical shell consisting of the composite layer and the piezoelectric layer was investigated. The material and geometric parameters of the shell were found to influence its stable characteristics. The analysis model of the composite thin cylindrical shell incorporating the piezoelectric layer was developed, and the expressions for its strain energy were derived. By applying the minimum energy principle, the impact of the electric field intensity on the bi-stable behaviors of the cylindrical shell was analyzed. The results showed that the shell exhibited the bistability only under the appropriate electric field strength. And the accuracy of the theoretical prediction was verified by simulation experiments. This study provides an important reference for the application of deployable structures.

Research on theoretical optimization and experimental verification of minimum resistance hull form based on Rankine source method

  • Zhang, Bao-Ji;Zhang, Zhu-Xin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.5
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    • pp.785-794
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    • 2015
  • To obtain low resistance and high efficiency energy-saving ship, minimum total resistance hull form design method is studied based on potential flow theory of wave-making resistance and considering the effects of tail viscous separation. With the sum of wave resistance and viscous resistance as objective functions and the parameters of B-Spline function as design variables, mathematical models are built using Nonlinear Programming Method (NLP) ensuring the basic limit of displacement and considering rear viscous separation. We develop ship lines optimization procedures with intellectual property rights. Series60 is used as parent ship in optimization design to obtain improved ship (Series60-1) theoretically. Then drag tests for the improved ship (Series60-1) is made to get the actual minimum total resistance hull form.

Adaptive Cloud Offloading of Augmented Reality Applications on Smart Devices for Minimum Energy Consumption

  • Chung, Jong-Moon;Park, Yong-Suk;Park, Jong-Hong;Cho, HyoungJun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.8
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    • pp.3090-3102
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    • 2015
  • The accuracy of an augmented reality (AR) application is highly dependent on the resolution of the object's image and the device's computational processing capability. Naturally, a mobile smart device equipped with a high-resolution camera becomes the best platform for portable AR services. AR applications require significant energy consumption and very fast response time, which are big burdens to the smart device. However, there are very few ways to overcome these burdens. Computation offloading via mobile cloud computing has the potential to provide energy savings and enhance the performance of applications executed on smart devices. Therefore, in this paper, adaptive mobile computation offloading of mobile AR applications is considered in order to determine optimal offloading points that satisfy the required quality of experience (QoE) while consuming minimum energy of the smart device. AR feature extraction based on SURF algorithm is partitioned into sub-stages in order to determine the optimal AR cloud computational offloading point based on conditions of the smart device, wireless and wired networks, and AR service cloud servers. Tradeoffs in energy savings and processing time are explored also taking network congestion and server load conditions into account.

Evaluation of Implementation Potential of Offshore Wind Farm Capacity in Korea Using National Wind Map and Commercial Wind Farm Design Tool (국가바람지도와 상용 단지설계 프로그램을 활용한 국내 해상풍력단지 공급가능 잠재량 산정)

  • Song, Yuan;Kim, Chanjong;Paek, Insu;Kim, Hyungoo
    • Journal of the Korean Solar Energy Society
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    • v.36 no.4
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    • pp.21-29
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    • 2016
  • Commercial wind farm design tools and the national wind map are used to determine the implementation potential of offshore wind power in Korea in this study. For this, the territorial waters of Korea were divided into nine analysis regions and a commercial CFD code was used to obtain wind resource maps at 100m A.S.L. which is the hub height of a 5MW wind turbine used in this study. With the wind resource obtained, factors including water depth, distance from substations, minimum and maximum capacity of a wind farm, distance between turbines and wind farms were considered to determine wind power potential. Also, the conservation areas, military zones, ports, fishing grounds, etc. were considered and excluded. As the result, a total capacity of 6,720 MW was found to be the implementation potential and this corresponds to $3.38MW/km^2$ in API. Also if the distance from the substation is not considered, the potential increased to be 10,040 MW. This offshore wind farm potential is considered enough to satisfy the target of wind farm capacities in the 7th national plan for electricity demand and supply.

THE VARIATIONAL THEORY OF A CIRCULAR ARCH WITH TORSIONAL SPRINGS AT BOTH EDGES

  • Go, Jae-Gwi
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.707-717
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    • 2007
  • Arches are constrained with rotational resistance at both edges. An energy method is used to derive variational formulation which is used to prove the existence of equilibrium states of elastic circular arches for the torsional spring constants ${\rho}-\;{\geq}\;0,\;{\rho}+\;{\geq}\;0,\;and\;{\rho}-\;+\;{\rho}+\;>\;0$. The boundary conditions are searched using the existence of minimum potential energy.