• Title/Summary/Keyword: Continuous Solution

Search Result 1,179, Processing Time 0.024 seconds

Discrete Sizing Design of Truss Structure Using an Approximate Model and Post-Processing (근사모델과 후처리를 이용한 트러스 구조물의 이산 치수설계)

  • Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
    • /
    • v.19 no.5
    • /
    • pp.27-37
    • /
    • 2020
  • Structural optimization problems with discrete design variables require more function calculations (or finite element analyses) than those in the continuous design space. In this study, a method to find an optimal solution in the discrete design of the truss structure is presented, reducing the number of function calculations. Because a continuous optimal solution is the Karush-Kuhn-Tucker point that satisfies the optimality condition, it is assumed that the discrete optimal solution is around the continuous optimum. Then, response values such as weight, displacement, and stress are predicted using approximate models-referred to as hybrid metamodels-within specified design ranges. The discrete design method using the hybrid metamodels is used as a post-process of the continuous optimization process. Standard truss design problems of 10-bar, 25-bar, 15-bar, and 52-bar are solved to show the usefulness of this method. The results are compared with those of existing methods.

Ice Marking Pattern of Flowing Organic Water Solution in a Horizontal Cooled Tube (수평냉각관내에서 유동하는 유기수용액의 제빙형태)

  • 박기원
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.24 no.5
    • /
    • pp.52-57
    • /
    • 2000
  • Recently large capacity of electric equipment and increasing in atomic power generation are shown. One of the reason is shortage of the electric power supply for air conditioning load during summer. And every consumer is concerning about economical refrigeration and air conditioning system to decreases electric power consumption and decrease in global warming. For these necessities, ice making thermal storage system is required. Therefore, in this paper, the possibility of continuous slurry ice making using flowing organic water solution in cooled circular tube has been investigated. The experiments was carried out under some parameters of concentration and velocity of water solution, temperature of cooled tube wall, and control pressure in tube, As a result, four types of operating conditions in the pipe, that was supercooling, continuous ice making, intermittent ice making and ice blockage, were classified . And it was found that the critical condition for continuous ice making was acquired as a function of these experimental parameters.

  • PDF

New Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation

  • Davies, Richard Keith;Shi, Peng;Wiltshire, Ron
    • International Journal of Control, Automation, and Systems
    • /
    • v.6 no.5
    • /
    • pp.776-784
    • /
    • 2008
  • In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation (CARE) are derived. Following the derivation of each bound, iterative algorithms are developed for obtaining sharper solution estimates. These bounds improve the restriction of the results proposed in a previous paper, and are more general. The proposed bounds are always calculated if the stabilizing solution of the CARE exists. Finally, numerical examples are given to demonstrate the effectiveness of the present schemes.

CONTINUOUS DATA ASSIMILATION FOR THE THREE-DIMENSIONAL SIMPLIFIED BARDINA MODEL UTILIZING MEASUREMENTS OF ONLY TWO COMPONENTS OF THE VELOCITY FIELD

  • Anh, Cung The;Bach, Bui Huy
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.1
    • /
    • pp.1-28
    • /
    • 2021
  • We study a continuous data assimilation algorithm for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field. Under suitable conditions on the relaxation (nudging) parameter and the spatial mesh resolution, we obtain an asymptotic in time estimate of the difference between the approximating solution and the unknown reference solution corresponding to the measurements, in an appropriate norm, which shows exponential convergence up to zero.

REMINERALIZATION OF ARTIFICIAL ENAMEL CARIOUS LESIONS (법랑질 인공 우식 병소의 재석회화)

  • Hur, Bock;Kim, Shin
    • Restorative Dentistry and Endodontics
    • /
    • v.18 no.2
    • /
    • pp.387-394
    • /
    • 1993
  • In order to investigate the effects of continuous and pH cyclic remineralization, artificial enamel carious lesions were produced on sections of about 2mm thickness of bovine incisor. 0.1M lactic acid solution adjusted to a pH of 4.3 and saturity of $2.98{\times}10^{-8}$ was used as demineralizing solution. The lesions were remineralized with the solution of pH 7.0 containing 1.5mM $CaCl_2$, 0.9 mM $KH_2PO_4$ and 20mM Hepes. In continuous remineralization procedure, the specimens were immersed in remineralizing solution continuously for 72 hours. In pH cyclic remineralization procedure, the sections were immersed in remineralizing solution for 6 hours and in dermineralizing solution for 20 minutes alternately during 72 hours. The effect of remineralization was determined by polarizing microscopy and electron microprobe analysis. The obtained results were as follows. 1. In case of continuous remineralization, the lesion depth was reduced partially or unchanged. 2. In pH cyclic condition, the thichness of surface layer and the lesion depth were increased simultaneously. 3. The mineral content of lesion was recovered to the level of sound enamel by remineraiization.

  • PDF

Influence of the Supercooling Degree and Cooling Rate on a Continuous Ice Formation by a Supercooled Aqueous Solution in Flow Using a Plate Heat Exchanger (판형 열교환기를 이용한 과냉각수용액에서 유동과냉도 및 냉각속도가 연속제빙에 미치는 영향)

  • Lee, Dong-Gyu;Peck, Jong-Hyeon;Hong, Hi-Ki;Kang, Chae-Dong
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.19 no.9
    • /
    • pp.647-653
    • /
    • 2007
  • In dynamic ice storage system(DISS), ice slurry is formed not only from solution freezing by mechanical removing parts but also supercooled solution. However, in order to perform continuous ice formation in the system without mechanical moving parts, supercooled aqueous solution should be formed stable through cooling heat exchanger and be dissolved uniformly in storage tank. In previous study, the time of ice slurry increased as the pressure of the cooling heat exchanger(PHX) increased. In this study, a cooling experiment of an ethylene glycol 7mass% solution was performed with various inlet temperature of the PHX, which has constant brine inlet temperature of $-7^{\circ}C$. The temperature in the storage tank maintained to freezing point of the solution. At results, the time of ice slurry formation increased as the supercooling degree decreased and the cooling rate increased.

A Study on Reusing of Electroless Co-Cu-P Waste Solution (무전해 Co-Cu-P 폐 도금액의 재사용에 관한 연구)

  • Bai Young-Han;Oh Lee-Sik
    • Resources Recycling
    • /
    • v.14 no.4 s.66
    • /
    • pp.34-40
    • /
    • 2005
  • Reusing of electroless Co-Cu-P waste solution was investigated in the respect of plating time, plating rate, solution composition and deposit. Plating time of cobalt-catalytic surface took longer than that of zincated-catalytic surface. It was possible to reuse the waste solution by mixing $50\%$ fresh solution at batch type. Plating time of initial solution at continuous type took longer 7.5 times over than that of batch type. Plating time of $50\%$ waste solution additive at continuous type took longer 2.5 times over than that of batch type. Component change of cobalt-topper for electroless deposition was greatly affected by deposit inferiority and rapid decrease in plating rate.

Studies on Solvent Sublation of Trace Heavy Metals by Continuous Flow System as Ternary Complexes of 1,10-Phenanthroline and Thiocyanate Ion

  • Kim, Young-Sang;Choi, Yoon-Seok;Lee, Won
    • Bulletin of the Korean Chemical Society
    • /
    • v.24 no.12
    • /
    • pp.1775-1780
    • /
    • 2003
  • A continuous flow system has been developed to determine trace Cu(II), Mn(II), Ni(II) and Zn(II) in a large volume of water samples by a solvent sublation technique. The mixed solution of 1,10-phenanthroline(phen) and thiocyanate ion was used as ligands for the formation of their ternary complexes. The continuous system was constructed in this laboratory with a peristaltic pump, a mini shaker, three mixing bottles and a flotation cell by connecting each part with a polyethylene tube. The flotation conditions such as the flow rate of sample solution and the injection rates of ligand, buffer and surfactant solutions have been investigated to obtain the best sublation efficiencies. Each solution flowed into the flotation cell through each polyethylene tube by the peristaltic pumps. The ternary complexes were floated and extracted into MIBK in a flotation cell of 2 L by bubbling a nitrogen gas. The absorbances of extracted analytes in MIBK were directly measured by graphite furnace-AAS. The concentrations of 1,10-phenanthroline and thiocyanate ion were $2.6\;{\times}\;10^{-3}$ M and $2.3\;{\times}\;10^{-2}$ M in the mixed solution, respectively. The pH of sample solution was adjusted to 5.0 with a buffer solution and 1%(m/v) sodium lauryl sulphate solution was added as a surfactant to support the effective flotation of the complexes. The $N_2$ gas was bubbled at 30 mL/min for 90 minutes for 20 L of sample. Reproducible results of less than 10% RSD and recoveries of 80-120% could be obtained in real samples.

Some bounds on the solution of the continuous algebraic Riccati equation

  • Moon, Young-Soo;Lee, Youngil;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1993.10b
    • /
    • pp.425-427
    • /
    • 1993
  • Some upper bounds for the solution of the continuous algebraic Riccati equation are presented. These consist of bounds for summations of eigenvalues, products of eigenvalues, individual eigenvalues and the minimum eigenvalue of the solution matrix. Among these bounds, the first three are the first results for the upper bound of each case, while bounds for the minimum eigenvalue supplement the existing ones and require no side conditions for their validities.

  • PDF

New Upper Bounds for the CALE: A Singular Value Decomposition Approach

  • Savov, Svetoslav G.;Popchev, Ivan P.
    • International Journal of Control, Automation, and Systems
    • /
    • v.6 no.2
    • /
    • pp.288-294
    • /
    • 2008
  • Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples.