• Title/Summary/Keyword: proposed equation

Search Result 5,009, Processing Time 0.032 seconds

Development of Temperature and Strain-Rate Dependent Unified Constitutive Equation for Ships and Offshore Structures (선박 및 해양구조물용 극저온 재료의 온도 및 변형률 속도 의존 통합 구성방정식 개발)

  • Park, Woong-Sup;Kim, Jeong-Hyeon;Chun, Min-Sung;Lee, Jae-Myung
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.48 no.3
    • /
    • pp.200-206
    • /
    • 2011
  • The mechanical properties of the most widely used cryogenic materials, i.e. austenitic stainless steel (ASS), aluminum alloy and invar steel, strongly depend on temperatures and strain rates. These phenomena show very complicated non-linear behaviors and cannot be expressed by general constitutive equation. In this study, an unified constitutive equation was proposed to represent the effect of temperature and strain rate on the materials. The proposed constitutive equation has been based on Tomita/Iwamoto and Bodner/Partom model for the expression of 2nd hardening due to martensite phase transformation of ASS. To simulate ductile fracture, modified Bodner/Chan damage model was additionally applied to the model and the model validity was verified by comparison of experimental and simulation results.

Wiener-Hopf Equation with Robustness to Application System (응용시스템에 강건한 Wiener-Hopf 방정식)

  • Cho, Ju-Phil;Lee, Il-Kyu;Cha, Jae-Sang
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.11 no.4
    • /
    • pp.245-249
    • /
    • 2011
  • In this paper, we propose an equivalent Wiener-Hopf equation. The proposed algorithm can obtain the weight vector of a TDL(tapped-delay-line) filter and the error simultaneously if the inputs are orthogonal to each other. The equivalent Wiener-Hopf equation was analyzed theoretically based on the MMSE(minimum mean square error) method. The results present that the proposed algorithm is equivalent to original Wiener-Hopf equation. In conclusion, our method can find the coefficient of the TDL (tapped-delay-line) filter where a lattice filter is used, and also when the process of Gram-Schmidt orthogonalization is used. Furthermore, a new cost function is suggested which may facilitate research in the adaptive signal processing area.

Earth pressure on a vertical shaft considering the arching effect in c-𝜙 soil

  • Lee, In-Mo;Kim, Do-Hoon;Kim, Kyoung-Yul;Lee, Seok-Won
    • Geomechanics and Engineering
    • /
    • v.11 no.6
    • /
    • pp.879-896
    • /
    • 2016
  • A new earth pressure equation considering the arching effect in $c-{\phi}$ soils was proposed for the accurate calculation of earth pressure on circular vertical shafts. The arching effect and the subsequent load recovery phenomenon occurring due to multi-step excavation were quantitatively investigated through laboratory tests. The new earth pressure equation was verified by comparing the test results with the earth pressures predicted by new equation in various soil conditions. Resulting from testing by using multi-step excavation, the arching effect and load recovery were clearly observed. The test results in $c-{\phi}$ soil showed that even a small amount of cohesion can cause the earth pressure to decrease significantly. Therefore, predicting earth pressure without considering such cohesion can lead to overestimation of earth pressure. The test results in various ground conditions demonstrated that the newly proposed equation, which enables consideration of cohesion as appropriate, is the most reliable equation for predicting earth pressure in both ${\phi}$ soil and $c-{\phi}$ soil. The comparison of the theoretical equations with the field data measured on a real construction site also highlighted the best-fitness of the theoretical equation in predicting earth pressure.

New Equation on Streamwise Variation of Secondary Flow in Meandering Channels (만곡수로에서 흐름방향에 따른 2차류의 변화량 산정식)

  • Baek, Kyong Oh;Seo, Il Won;Lee, Kyu Whan
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.26 no.4B
    • /
    • pp.371-378
    • /
    • 2006
  • In this study, a theoretical equation was derived based on Odgaard (1986) and Chang (1988) to reveal the streamwise variation of the secondary flow in meandering channels. The new equation describes the transverse component of the secondary flow as a function of streamwise and vertical directions. To validate the proposed equation, hydraulic experiments were conducted in laboratory meandering channels having different sinuosity. Comparison of experimental results with the proposed equation and an existing equation revealed that the equation was in good agreement with the measured data. However, the existing equation overestimated the transverse velocity. Investigation of the variation of the secondary flow with respect to hydraulic parameters based on the new equation showed that the secondary flow tended to increase as the sinuosity, the roughness, and the aspect ratio became larger. Also, streamwise profile of the secondary flow was sensitive to variations of the roughness and the aspect ratio.

Unsteady Groundwater Flow in Aquifer (대수층의 부정류에 관한 연구)

  • 이정규
    • Water for future
    • /
    • v.22 no.2
    • /
    • pp.233-239
    • /
    • 1989
  • The partial differential equation of the groundwater flow was reduced to an ordinary differential equation by the Boltzmann transformation. Its numerical solutions were obtained by the finite difference method and the new method to get the initial missing slope using the Richardson method and the finite difference equation was proposed. The solutions computed by the newly proposed method were compared with investigator's computations and they showed a satisfactory agreement and that the proposed method is easy and simple to get solutions.

  • PDF

Extended Mixing Rule to Complex Permittivity

  • Wakino, Ki-Kuo
    • Journal of the Korean Ceramic Society
    • /
    • v.40 no.4
    • /
    • pp.371-374
    • /
    • 2003
  • Various types of equation for mixing rule on permittivity of mixture have been proposed, but none of these is not perfect because of the inconsistency between the actual geometrical configuration and the basic model for calculation. Serial model and parallel model are lower and upper extremes of mixing manner, the apparent permittivity of any other type of mixture stay between these two extreme states. For the random mixture of the stumpy fine particles, customarily the logarithmic mixing rule has been applied. But, the logarithmic mixing rule does not give the proper value of permittivity in low or high mixing rate of constituent. The author proposed the new mixing rule that gives better consistency with measured value in whole mixing range compared to the logarithmic rule. In this paper, a desirable refinement on the equation proposed in the previous paper is made to adapt to thr configuration image of actual compound and then the equation has been expanded to the complex permittivity to apply the mixing rule on the dissipative materials cases.

On Shear Capacity of Reinforced Concrete Deep Beams with Rectangular Web Openings

  • Eun, Hee Chang;Yang, Keun Hyeok;Lee, Young Ho;Chung, Heon Soo
    • Architectural research
    • /
    • v.7 no.2
    • /
    • pp.55-60
    • /
    • 2005
  • Based on an experimental study, this study provides an equation to describe the shear strength of high-strength concrete deep beams with rectangular openings and without web reinforcements. Twenty-four concrete deep beams were tested with the variables of concrete strength, size of web opening, and shear span-to-depth ratio. The proposed equation is expressed as the sum of the shear strength provided by longitudinal bars and concrete. It is illustrated that the proposed equation predicts the load-carrying capacity of the deep beams more properly than the experimental equations proposed by other researchers.

A Generalized Finite Difference Method for Solving Fokker-Planck-Kolmogorov Equations

  • Zhao, Li;Yun, Gun Jin
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.18 no.4
    • /
    • pp.816-826
    • /
    • 2017
  • In this paper, a generalized discretization scheme is proposed that can derive general-order finite difference equations representing the joint probability density function of dynamic response of stochastic systems. The various order of finite difference equations are applied to solutions of the Fokker-Planck-Kolmogorov (FPK) equation. The finite difference equations derived by the proposed method can greatly increase accuracy even at the tail parts of the probability density function, giving accurate reliability estimations. Compared with exact solutions and finite element solutions, the generalized finite difference method showed increasing accuracy as the order increases. With the proposed method, it is allowed to use different orders and types (i.e. forward, central or backward) of discretization in the finite difference method to solve FPK and other partial differential equations in various engineering fields having requirements of accuracy or specific boundary conditions.

A study on the generation of balancing trajectory for biped robot using genetic algorithm (유전 알고리즘을 이용한 이족보행로봇의 균형 궤적 생성에 관한 연구)

  • Kim, Jong-Tae;Kim, Jin-Geol
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.5 no.8
    • /
    • pp.969-976
    • /
    • 1999
  • This paper is concerned with the generation of a balancing trajectory for improving the walking performance. The balancing motion has been determined by solving a second -order differential equation. However, this method caused some difficulties in linearizing and approximating the equation and had restrictions on using various balancing trajectories. The proposed difficulties in linearizing and approximating the equation and had restrictions on using various balancing trajectories. The proposed method i this paper is based on the genetic algorithm for minimizing the motins of balancing joints, whose trajectories are generated by the fifth-order polynomial interpolation after planning leg trajectories. The real walking experiments are made on the biped robot IWR-III, developed by our Automatic Control Laboratory. The system has 8 degrees of freedom and the structure of three pitches in each leg, and one roll and one prismatic joint in the balancing joints. The experimental result shows the validity and applicability of the new proposed algorithm.

  • PDF

Prediction of Excess Pore Water Pressure of Reservoir Embankment Considering Fill and Ponding (성토하중과 수위변화를 고려한 저수지의 과잉공극수압 예측)

  • Lee, Dal-Won;Min, Hag-Gyou
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 2010.03a
    • /
    • pp.1212-1221
    • /
    • 2010
  • A theoretical equation was proposed to consider the effect of fill and ponding for the excess pore water pressure in agricultural reservoir on soft clay ground. For the purpose of verification of the proposed equation, laboratory model tests and field tests were performed and excess pore water pressure was compared to those predicted with the Terzaghi's method. The degree of consolidation according to ponding predicted by applying the proposed equation was close to the observed degree of consolidation on the double drainage condition(at DP-3) but it was less than the observed degree of consolidation on the single drainage condition(at DP-5). The predicted excess pore water pressure according to fill and ponding was very applicable to practice because it was close to the observed data.

  • PDF