• 제목/요약/키워드: time-dependent state

검색결과 514건 처리시간 0.022초

First-Passage Time Distribution of Discrete Time Stochastic Process with 0-state

  • Park, Young-Sool
    • Journal of the Korean Data and Information Science Society
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    • 제8권2호
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    • pp.119-125
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    • 1997
  • We handle the stochastic processes of independent and identically distributed random variables. But random variables are usually dependent among themselves in actual life. So in this paper, we find out a new process not satisfying Markov property. We investigate the probability mass functions and study on the probability of the first-passage time. Also we find out the average frequency of continuous successes in from 0 to n time.

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온도 의존적 재료물성치를 고려한 개선된 그린함수 기반 열응력 계산 (Thermal Stress Calculations Using Enhanced Green's Function Considering Temperature-dependent Material Properties)

  • 한태송;허남수;전현익;하승우;조선영
    • 한국생산제조학회지
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    • 제24권5호
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    • pp.535-540
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    • 2015
  • We propose an enhanced Green's function approach to predict thermal stresses by considering temperature-dependent material properties. We introduce three correction factors for the maximum stress, the time taken to reach maximum stress, and the time required to attain steady state based on the Green's function results for each temperature. The proposed approach considers temperature-dependent material properties using correction factors, which are defined as polynomial expressions with respect to temperatures based on Green's functions, that we obtain from finite-element (FE) analyses at each temperature. We verify the proposed approach by performing detailed FE analyses on thermal transients. The Green's functions predicted by the proposed approach are in good agreement with those obtained from FE analyses for all temperatures. Moreover, the thermal stresses predicted using the proposed approach are also in good agreement with the FE results, and the proposed approach provides better predictions than the conventional Green's function approach using constant, time-independent material properties.

화력 발전용 로터강의 초기 변형율이 CYCLIC 크리프 특성에 미치는 영향에 관한 연구 (A Study on the Effect of Initial Strain on Cyclic Creep Properties of Steam Turbine Rotor Steel)

  • 오세규;정순억;한상덕
    • 한국해양공학회지
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    • 제6권1호
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    • pp.78-86
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    • 1992
  • The creep behaviors of 1%Cr-Mo-V and 12%Cr steam turbine rotor steels under static or cyclic load were examined at 600 and $700^{\circ}C$. The relationship between these two kinds of phenomena was studied and the experimental results were summarized as follows: 1) It is confirmed that the cyclic creep strain dependent on time is more available for creep, behavior analysis according to frequency change than that dependent on number of cycles, and the static creep, the special case of cyclic creep with stress ratio of 1 can be also more effectively analyzed by time-dependence. 2) The steady cyclic creep rate vs. the steady static creep rate, increases according to the increase of stress ratio, and this phenomena may occur on occasion of the decrease of the internal stress. 3) The initial strain affects on all the creep properties of the transient region, the steady state region and the rupture time in cyclic creep as well as static creep, and the quantitative relationships among them exist.

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Theory of Diffusion-Influenced Bimolecular Reactions in Solution : Effects of a Stochastic Gating Mode

  • Kim Joohyun;Lee Sangyoub
    • Bulletin of the Korean Chemical Society
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    • 제13권4호
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    • pp.398-404
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    • 1992
  • We have investigated the kinetics of diffusion-influenced bimolecular reactions in which one reactant has an internal mode, called the gating mode, that activates or deactivates its reactivity intermittently. The rate law and an expression for the time-dependent rate coefficient have been obtained from the general formalism based on the hierarchy of kinetic equations involving reactant distribution functions. The analytic expression obtained for the steady-state reaction rate constant coincides with the one obtained by Szabo et al., who derived the expression by employing the conventional concentration-gradient approach. For the time-dependent reaction rate coefficient, we obtained for the first time an exact analytic expression in the Laplace domain which was then inverted numerically to give the time-domain results.

MILP MODELLING FOR TIME OPTIMAL GUIDANCE TO A MOVING TARGET

  • BORZABADI AKBAR H.;MEHNE HAMED H.
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.293-303
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    • 2006
  • This paper describes a numerical scheme for optimal control of a time-dependent linear system to a moving final state. Discretization of the corresponding differential equations gives rise to a linear algebraic system. Defining some binary variables, we approximate the original problem by a mixed integer linear programming (MILP) problem. Numerical examples show that the resulting method is highly efficient.

Real-time hybrid simulation of a multi-story wood shear wall with first-story experimental substructure incorporating a rate-dependent seismic energy dissipation device

  • Shao, Xiaoyun;van de Lindt, John;Bahmani, Pouria;Pang, Weichiang;Ziaei, Ershad;Symans, Michael;Tian, Jingjing;Dao, Thang
    • Smart Structures and Systems
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    • 제14권6호
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    • pp.1031-1054
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    • 2014
  • Real-time hybrid simulation (RTHS) of a stacked wood shear wall retrofitted with a rate-dependent seismic energy dissipation device (viscous damper) was conducted at the newly constructed Structural Engineering Laboratory at the University of Alabama. This paper describes the implementation process of the RTHS focusing on the controller scheme development. An incremental approach was adopted starting from a controller for the conventional slow pseudodynamic hybrid simulation and evolving to the one applicable for RTHS. Both benchmark-scale and full-scale tests are discussed to provide a roadmap for future RTHS implementation at different laboratories and/or on different structural systems. The developed RTHS controller was applied to study the effect of a rate-dependent energy dissipation device on the seismic performance of a multi-story wood shear wall system. The test specimen, setup, program and results are presented with emphasis given to inter-story drift response. At 100% DBE the RTHS showed that the multi-story shear wall with the damper had 32% less inter-story drift and was noticeably less damaged than its un-damped specimen counterpart.

Subjective Timbre Space of 45 Modified Violin Tones

  • Ahn, Chul-Yong;Pang, Hee-Suk;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • 제19권1E호
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    • pp.38-42
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    • 2000
  • In this paper we studied the reduced subjective timbre space of time-varying tones as well as steady state tones. 45 modified test tones were constructed from the original violin tone in consideration of 4 physical factors: spectrum envelope, inharmonicity, time-varying spectrum and time reversal. The semantic differential (SD) method was used in the listening test. According to the factor analysis, the adjectives can be factorized into 4 groups. The first factor is characterized by the adjectives, 'free', 'broad', 'deep', 'rich', 'strong' and 'reverberant', the second by 'tenor', 'clear', 'bright', 'light' and 'sharp', the third by 'easy', 'smooth', and 'solid', the fourth by 'warm' and 'full'. The first factor, 'richness', seems to be dependent upon the time-varying characteristic of a tone. The second factor, 'sharpness', is shown to play an important role in a time-varying tone as well as in a steady state tone.

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A boundary element method based on time-stepping approximation for transient heat conduction in anisotropic solids

  • Tanaka, Masa;Matsumoto, T.;Yang, Q.F.
    • Structural Engineering and Mechanics
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    • 제4권1호
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    • pp.61-72
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    • 1996
  • The time-stepping boundary element method has been so far applied by the authors to transient heat conduction in isotropic solids as well as in orthotropic solids. In this paper, attempt is made to extend the method to 2-D transient heat conduction in arbitrarily anisotropic solids. The resulting boundary integral equation is discretized by means of the boundary element with quadratic interpolation. The final system of equations thus obtained is solved by advancing the time step from the given initial state to the final state. Through numerical compuation of a few examples the potential usefulness of the proposed method is demonstrated.

Effects of Amino Substitution on the Excited State Hydrogen Transfer in Phenol: A TDDFT Study

  • Kim, Sang-Su;Kim, Min-Ho;Kang, Hyuk
    • Bulletin of the Korean Chemical Society
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    • 제30권7호
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    • pp.1481-1484
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    • 2009
  • When isolated phenol or a small phenol-solvent cluster is excited to the $S_1\;state\;of\;{\pi}{\pi}^*$ character, the hydrogen atom of the hydroxyl group dissociates via a ${\pi}{\sigma}^*$ state that is repulsive along the O-H bond. We computationally investigated the substitution effects of an amino group on the excited state hydrogen transfer reaction of phenol. The time-dependent density functional theory (TDDFT) with B3LYP functional was employed to calculate the potential energy profiles of the ${\pi}{\pi}^*$ and the ${\pi}{\sigma}^*$ excited states along the O-H coordinate, together with the orbital shape at each point, as the position of the substituent was varied. It was found that the amino substitution has an effect of lowering the ${\pi}{\sigma}^*$ state and enhancing the excited state hydrogen transfer reaction.

Creep-permeability behavior of sandstone considering thermal-damage

  • Hu, Bo;Yang, Sheng-Qi;Tian, Wen-Ling
    • Geomechanics and Engineering
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    • 제18권1호
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    • pp.71-83
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    • 2019
  • This investigation presented conventional triaxial and creep-permeability tests on sandstones considering thermally-induced damage (TID). The TID had no visible effects on rock surface color, effective porosity and permeability below $300^{\circ}C$ TID level. The permeability enlarged approximately two orders of magnitude as TID increased to $1000^{\circ}C$ level. TID of $700^{\circ}C$ level was a threshold where the influence of TID on the normalized mass and volume of the specimen can be divided into two linear phases. Moreover, no prominent variations in the deformation moduli and peak strength and strain appeared as TID< $500^{\circ}C$ level. It is interesting that the peak strength increased by 24.3% at $700^{\circ}C$ level but decreased by 11.5% at $1000^{\circ}C$ level. The time-related deformation and steady-state creep rate had positive correlations with creep loading and the TID level, whereas the instantaneous modulus showed the opposite. The strain rates under creep failure stresses raised 1-4 orders of magnitude than those at low-stress levels. The permeability was not only dependent on the TID level but also dependent on creep deformation. The TID resulted in large deformation and complexity of failure pattern for the sandstone.