• Title/Summary/Keyword: Mathematical Processes

Search Result 726, Processing Time 0.035 seconds

Bending of a rectangular plate resting on a fractionalized Zener foundation

  • Zhang, Cheng-Cheng;Zhu, Hong-Hu;Shi, Bin;Mei, Guo-Xiong
    • Structural Engineering and Mechanics
    • /
    • v.52 no.6
    • /
    • pp.1069-1084
    • /
    • 2014
  • The long-term performance of plates resting on viscoelastic foundations is a major concern in the analysis of soil-structure interaction. As a powerful mathematical tool, fractional calculus may address these plate-on-foundation problems. In this paper, a fractionalized Zener model is proposed to study the time-dependent behavior of a uniformly loaded rectangular thin foundation plate. By use of the viscoelastic-elastic correspondence principle and the Laplace transforms, the analytical solutions were obtained in terms of the Mittag-Leffler function. Through the analysis of a numerical example, the calculated plate deflection, bending moment and foundation reaction were compared to those from ideal elastic and standard viscoelastic models. It is found that the upper and lower bound solutions of the plate response estimated by the proposed model can be determined using the elastic model. Based on a parametric study, the impacts of model parameters on the long-term performance of a foundation plate were systematically investigated. The results show that the two spring stiffnesses govern the upper and lower bound solutions of the plate response. By varying the values of the fractional differential order and the coefficient of viscosity, the time-dependent behavior of a foundation plate can be accurately captured. The fractional differential order seems to be dependent on the mechanical properties of the ground soil. A sandy foundation will have a small fractional differential order while in order to simulate the creeping of clay foundation, a larger fractional differential order value is needed. The fractionalized Zener model is capable of accounting for the primary and secondary consolidation processes of the foundation soil and can be used to predict the plate performance over many decades of time.

Analysis of Flood due to Storm Surge at Masan Bay (마산만에서 고조로 인한 침수원인 분석)

  • 황호동;이중우;권소현
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
    • /
    • 2004.04a
    • /
    • pp.217-224
    • /
    • 2004
  • Open-coast storm surge computations are of value in planning and constructing engineering works, especially in coastal regions. Prediction of typhoon surge elevations is based primarily on the use of a numerical model in this study, since it is difficult to study these events in real time or with use of physical models. A simple quasi-two dimensional numerical model for storm surge is considered. In order to understand the model's underlying assumptions, range of validity, and application, we discussed several aspects of typhoons and the physical factors governing storm generation processes. We also followed the basic governing equation, together with the assumption generally taken in their development, to see the principle characteristics of the model from a physical as well as a mathematical point of view. The equations consistent with the model described here are reduced forms of the basic equations and their effects on the resulting numerical scheme are discussed. Finally we applied the model discussed above to a storm surge problem at Masan Bay, the south coast of Korea Effects of astronomical tide, initial water level, and atmospheric pressure setup are considered. We then analyzed the flood at the coastal city and proposed a reasonable way of flood control.

  • PDF

Prediction Models of Residual Chlorine in Sediment Basin to Control Pre-chlorination in Water Treatment Plant (정수장 전염소 공정 제어를 위한 침전지 잔류 염소 농도 예측모델 개발)

  • Lee, Kyung-Hyuk;Kim, Ju-Hwan;Lim, Jae-Lim;Chae, Seon Ha
    • Journal of Korean Society of Water and Wastewater
    • /
    • v.21 no.5
    • /
    • pp.601-607
    • /
    • 2007
  • In order to maintain constant residual chlorine in sedimentation basin, It is necessary to develop real time prediction model of residual chlorine considering water treatment plant data such as water qualities, weather, and plant operation conditions. Based on the operation data acquired from K water treatment plant, prediction models of residual chlorine in sediment basin were accomplished. The input parameters applied in the models were water temperature, turbidity, pH, conductivity, flow rate, alkalinity and pre-chlorination dosage. The multiple regression models were established with linear and non-linear model with 5,448 data set. The corelation coefficient (R) for the linear and non-linear model were 0.39 and 0.374, respectively. It shows low correlation coefficient, that is, these multiple regression models can not represent the residual chlorine with the input parameters which varies independently with time changes related to weather condition. Artificial neural network models are applied with three different conditions. Input parameters are consisted of water quality data observed in water treatment process based on the structure of auto-regressive model type, considering a time lag. The artificial neural network models have better ability to predict residual chlorine at sediment basin than conventional linear and nonlinear multi-regression models. The determination coefficients of each model in verification process were shown as 0.742, 0.754, and 0.869, respectively. Consequently, comparing the results of each model, neural network can simulate the residual chlorine in sedimentation basin better than mathematical regression models in terms of prediction performance. This results are expected to contribute into automation control of water treatment processes.

A Control System for Avoiding Collisions between Autonomous Warfare Vehicles and Infantry (군용 무인차량과 보병의 충돌방지를 위한 제어시스템)

  • Nam, Sea-Hyeon;Chung, You-Chung
    • Journal of the Institute of Electronics Engineers of Korea TC
    • /
    • v.48 no.3
    • /
    • pp.74-82
    • /
    • 2011
  • This paper describes a control system for positioning the real-time locations of the autonomous warfare vehicles and infantry, and for avoiding collisions between them. The control system utilizes the low-cost RSSI (Received Signal Strength Indication) for positioning the locations of the wireless devices. The mathematical mean filtering processes are applied to the calculation of the RSS matrix to improve the performance for positioning the wireless devices in the multi-path propagation environment. A fuzzy rule is proposed to recover and replace the broken packets occurring in the wireless communication. The gradient and geometric triangulation algorithms are proposed to trace the real-time locations of wireless devices, based on the distances between them. The estimated location results of the geometric triangulation algorithm are compared with the results of the GPS and the gradient algorithm.

Hydrogen Absorption/Desorption and Heat Transfer Modeling in a Concentric Horizontal ZrCo Bed (수평식 이중원통형 ZrCo 용기 내 수소 흡탈장 및 열전달 모델링)

  • Park, Jongcheol;Lee, Jungmin;Koo, Daeseo;Yun, Sei-Hun;Paek, Seungwoo;Chung, Hongsuk
    • Journal of Hydrogen and New Energy
    • /
    • v.24 no.4
    • /
    • pp.295-301
    • /
    • 2013
  • Long-term global energy-demand growth is expected to increase driven by strong energy-demand growth from developing countries. Fusion power offers the prospect of an almost inexhaustible source of energy for future generations, even though it also presents so far insurmountable scientific and engineering challenges. One of the challenges is safe handling of hydrogen isotopes. Metal hydrides such as depleted uranium hydride or ZrCo hydride are used as a storage medium for hydrogen isotopes reversibly. The metal hydrides bind with hydrogen very strongly. In this paper, we carried out a modeling and simulation work for absorption/desorption of hydrogen by ZrCo in a horizontal annulus cylinder bed. A comprehensive mathematical description of a metal hydride hydrogen storage vessel was developed. This model was calibrated against experimental data obtained from our experimental system containing ZrCo metal hydride. The model was capable of predicting the performance of the bed for not only both the storage and delivery processes but also heat transfer operations. This model should thus be very useful for the design and development of the next generation of metal hydride hydrogen isotope storage systems.

Study on the Enhancement of the Functionality of Construction Graphical Simulation System (건설 그래픽 시뮬레이션 시스템의 기능개선에 관한 연구)

  • Kim Yeong-Hwan;Seo Jong-Won
    • Proceedings of the Korean Institute Of Construction Engineering and Management
    • /
    • 2004.11a
    • /
    • pp.543-547
    • /
    • 2004
  • Visualization of construction process simulation and physical modeling were considered to overcome the limitations of current graphical simulation. The output of discrete-event simulation programs which are the most common mathematical statistical simulation tool for construction processes were analyzed for the visualization of earthmoving process that dealing with objects without fixed. Object-oriented models for equipment, material and work environments were devised to effectively visualize the numerical simulation results of the working time, the queuing time as well as the amount resources etc. The oscillation of the crane's cable and the lifted material that should be considered to rationally modeled and simulated by construction graphical simulation. The derived equation of motion was solved by numerical analysis procedure. Then obtained results was used for physical modeling.

  • PDF

Drastic Brightness and Color Variations of the New Discovered Polar OTJ 071126+440405

  • Kim, Yong-Gi;Yoon, Joh-Na;Andronov, Ivan L.;Breus, Vitalii V.;Dubovsky, P.;Chinarova, Lidia L.;Han, Won-Yong
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.37 no.1
    • /
    • pp.59-59
    • /
    • 2012
  • Self-consistent mathematical model of the exotic object OTJ 071126+440405= CSS 081231:071126+440405 is discussed. The system was discovered as a polar at the New year night 31.12.2008/01.01.2009 by D.Denisenko (VSNET Circ), and we have initiated an international campaign of photometric and polarimetric observations of this object (totally -80 runs in Ukraine, Korea, Slovakia, Finland, USA) as a part of the "Inter-Longitude Astronomy" (ILA) project on monitoring of variable stars of different classes (Andronov et al., 2003). Here we present the geometrical and physical model of the system in the low luminosity state and in the intermediate luminosity state as well as in the high luminosity state. As the system is of -20 mag at minimum, no spectral observations were made to determine parameters of the red dwarf. From the statistical relationship, the mass of the red dwarf is estimated to be -0.165 solar masses, for the white dwarf (from eclipse duration) - from 0.5 to 1.76 solar masses. As the system resembles ER UMa in some characteristics, the lower value may be assumed. The inclination of the system and other physical parameters are estimated. The object is an excellent laboratory to study multiple physical processes in the magnetic systems.

  • PDF

Computerized Analysis of Thermoluminescence from ${\gamma}$-Ray Irradiated $\alpha$-$Al_2$$O_3$ (감마선 조사된 $\alpha$-$Al_2$$O_3$의 열자극에 관한 수치해석적인 분석)

  • 김태규;이병용;김성규;박영우;추성실
    • Progress in Medical Physics
    • /
    • v.4 no.2
    • /
    • pp.49-58
    • /
    • 1993
  • The complex glow curves were split into isolated glow curves to be calculated the values of kinetic order, activation energy, escape frequency and density of initial trap from the independent glow curves using the mathematical method of thermally stimulated processes. The minimization of the intensity difference between measured and theoretical glow curve was done by the nonlinear least-square program. The results of the fitted curves were almost equal to the actual values of the parameters. Thermoluminescence from gamma ray irradiated ${\alpha}$-Al$_2$ $O_3$ over the range of 300K to 600K was split into six glow curves. The kinetic order, activation energy and escape frequency of first glow curve were obtained as 1, 1.12eV and 6.79X10$\^$12/sec$\^$-1/, respectively, which were similar to the results of other method. Also the parameters of the second and the third glow curve and so forth were calculated.

  • PDF

Effects of a Peer Tutoring Method on Mathematical Problem Solving and Class Satisfaction (또래교수법이 수학 문제해결과 수업 만족도에 미치는 영향)

  • Cha, Ji-Hye;Choi, Sang-Ho;Kim, Dong-Joong
    • Journal of the Korean School Mathematics Society
    • /
    • v.18 no.2
    • /
    • pp.203-221
    • /
    • 2015
  • The purpose of this study is to analyze how a peer mentoring method affects students' problem solving abilities and class satisfaction in the context of high school quadratic curves and provide implications for teaching and learning mathematics. For this study, seventy six 11th graders in the natural sciences track participated in the peer mentoring method. After finishing the teaching method, Problem Solving Abilities Questionnaire was collected for analysis of pre-test/post-test experiments and Class Satisfaction Questionnaire was also gathered. The results show that the mentoring method positively impacts on participants' problem solving abilities and class satisfaction because its comfortable learning environments, individualized learning contents, and unconstrained learning processes motivate them through ways to improve their communication. According to the results, it is to address practical implications applied in teaching quadratic curves in high school with the value and importance of mentoring methods.

Automation of Aerial Triangulation by Auto Dectection of Pass Points (접합점 자동선정에 의한 항공삼각측량의 자동화)

  • Yeu, Bock-Mo;Kim, Won-Dae
    • Journal of Korean Society for Geospatial Information Science
    • /
    • v.7 no.2 s.14
    • /
    • pp.47-56
    • /
    • 1999
  • In this study, tie point observation in aerial triangulation was automated by the image processing methods. The technique includes boundary extraction and We matching processes. The procedures were applied to extract points of Interest and to find their conjugate points in the other images. The image coordinates of the identified points were then used to compute their absolute coordinates. An algorithm was developed in this study for the automation of observation in aerial triangulation, which is a manual process of selecting a tie point and recording the image coordinate of the selected point. The developed algorithm automates this process through the application of a mathematical operator to extract points of interest from an arbitrary image. The root m square error of image coordinates of the developed algorithm is $6.8{\mu}m$, which is close to that of the present analytical method. In a manual environment, the accuracy of the result of a photogrammetric process is heavily dependant on the level of skill and experience of the human operator. No such problem exists in an automated system. Also, as a result of the automated system, the time spent in the observation process could be reduced by a factor of 61.2%, thereby reducing the overall cost.

  • PDF