• Title/Summary/Keyword: Non-linear Equation

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Rheological Properties of the Solutions of Incompatible Polymer Blends

  • Sohn, Jeong-In;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • v.2 no.4
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    • pp.142-147
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    • 1981
  • A blend polymeric system composed of poly(methyl methacrylate) (PMMA or PM) and polystyrene (PS) dissolved in chloroform was rheologically studied. The viscosities ${\eta}_{bl}$ of the blend system with various blending ratios ${\chi}$ changing from zero (pure PS solution) to unity (pure PMMA solution) were measured at $25{\circ}C$ as a function of shear rates ${\dot{s}}$ by using a Couette type viscometer. ${\eta}_{bl}$ at a given ${\dot{s}}$ decreased exponentially with ${\chi}$ reaching asymptotic constant value of ${\eta}_{bl}$ ; ${\eta}_{bl}$ at a given ${\chi}$ is greater at a smaller ${\dot{s}}$. These results are explained by using Ree-Erying's theory of viscosity, ${\eta}_{bl}=(x_1{\beta}_1/{\alpha}_1)_{b}_1+ (x_2{\beta}_2/{\alpha}_2)_{bl}[sinh^{-1}{\beta}_2(bl) {\dot{s}}]/{\beta}_2(bl){\dot{s}}$. The Gibbs activation energy ${\Delta}G_i^\neq$(i = 2 for non-Newtonian units) entering into the intrinsic relaxation time ${\beta}$ is represented by a linear combination ${\Delta}G_i^\neq(bl) ={\chi}{\Delta}G_i^{\neq}_{iPM}+(1-{\chi}){\Delta}G_i^{\neq}_{iPS}$;the intrinsic shear modulus$[[\alpha}_i]^{-1}$ is also represented by $[{\alpha}_i(bl)]^{-1}={\chi}[{\alpha}_{iPM}]^{-1}+(1-{\chi})[{\alpha}_{iPS}]^{-1}$ and the fraction of area on a shear surface occupied by the ith flow units $x_i(bl)$ is similarly represented, i.e., $x_i(bl) = {\chi}x_{iPM}+(1-{\chi})x_{iPS}$. By using these ideas the Ree-Eyring equation was rewritten which explained the experimental results satisfactorily.

A Comparison of InSAR Techniques for Deformation Monitoring using Multi-temporal SAR (다중시기 SAR 영상을 이용한 시계열 변위 관측기법 비교 분석)

  • Kim, Sang-Wan
    • Korean Journal of Remote Sensing
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    • v.26 no.2
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    • pp.143-151
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    • 2010
  • We carried out studies on InSAR techniques for time-series deformation monitoring using multi-temporal SAR. The PSInSAR method using permanent scatterer is much more complicate than the SBAS because it includes many non-linear equation due to the input of wrapped phase. It is conformed the PS algorithm is very sensitive to even PSC selection. On the other hand, the SBAS method using interferogram of small baseline subset is simple but sensitive to the accuracy of unwrapped phase. The SBAS is better method for expecting not significant unwrapping error while PSInSAR is more proper method for expecting local deformation within very limited area. We used 51 ERS-1/2 SAR data during 1992-2000 over Las Vegas, USA for the comparison between PSInSAR and SBAS. Both PSInSAR and SBAS show similar ground deformation value although local deformation seems to be detected in the PSInSAR method only.

Potential Flow Analysis for a Ship with a Flow Control Plate near the Stern (선미부에 유동제어판을 부착한 선박에 대한 포텐셜 유동해석)

  • Choi, Hee-Jong;Chun, Ho-Hwan;Yoon, Hyun-Sik;Lee, In-Won;Park, Dong-Woo;Kim, Don-Jean
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.6
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    • pp.587-594
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    • 2009
  • In the paper the effect of a stern-plate attached to a ship was taken into account. The relationship between the trim angle of a ship and the wave-resistance coefficient induced by the a stern-plate was studied using the potential flow analysis method. Numerical algorithm was described using the panel method and the vortex lattice method(VLM) to simulate the flow phenomena around a ship. The non-linearity of the free surface boundary conditions were considered using the iterative method and the IGE-GMRES(Incomplete Gaussian Elimination-The Generalized Minimal RESidual) algorithm was adopted to solve the linear equation at each iterative step. Numerical calculations were carried out to investigate the validity of the adopted algorithm using KCS(KRISO 3600 TEU Container) hull. Possible cases for attachment of the plate were checked. The results showed that the numerical algorithm could be physically appropriate.

The Study of Long-Term Performance Evaluation of Vacuum Insulation Panel(VIP) with Accelerated Aging Test (가속노화 시험을 통한 진공단열패널(VIP)의 장기성능 평가 연구)

  • Kim, Jin-Hee;Kim, Jun-Tae
    • Journal of the Korean Solar Energy Society
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    • v.37 no.4
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    • pp.35-47
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    • 2017
  • Energy efficiency solutions are being pursued as a sustainable approach to reducing energy consumption and related gas emissions across various sectors of the economy. Vacuum Insulation Panel (VIP) is an energy efficient advanced insulation system that facilitates slim but high-performance insulation, based on a porous core material evacuated and encapsulated in a barrier envelope. Although VIP has been applied in buildings for over a decade, it wasn't until recently that efforts have been initiated to propose and adopt a global standard on characterization and testing of VIP. One of the issues regarding VIP is its durability and aging due to pressure and moisture dependent increase of the initial low thermal conductivity with time; more so in building applications. In this paper, the aging of commercially available VIP was investigated experimentally; thermal conductivity was tested in accordance with ISO 8302 standard (guarded hot box method) and long-term durability was estimated based on a non-linear pressure-humidity dependent equation based on study of IEA/ECBCS Annex 39, with the aim of assessing durability of VIP for use in buildings. The center-of-panel thermal conductivity after 25 years based on initial 90% fractile with a confidence level of 90 % for the thermal conductivity (${\lambda}90/90$) ranged from 0.00726-0.00814 (W/m K) for silica core VIP. Significant differences between manufacturer-provided data and measurements of thermal conductivity and internal pressure were observed.

Association between fatty liver disease and hearing impairment in Korean adults: a retrospective cross-sectional study

  • Da Jung Jung
    • Journal of Yeungnam Medical Science
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    • v.40 no.4
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    • pp.402-411
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    • 2023
  • Background: We hypothesized that fatty liver disease (FLD) is associated with a high prevalence of hearing loss (HL) owing to metabolic disturbances. This study aimed to evaluate the association between FLD and HL in a large sample of the Korean population. Methods: We used a dataset of adults who underwent routine voluntary health checkups (n=21,316). Fatty liver index (FLI) was calculated using Bedogni's equation. The patients were divided into two groups: the non-FLD (NFLD) group (n=18,518, FLI <60) and the FLD group (n=2,798, FLI ≥60). Hearing thresholds were measured using an automatic audiometer. The average hearing threshold (AHT) was calculated as the pure-tone average at four frequencies (0.5, 1, 2, and 3 kHz). HL was defined as an AHT of >40 dB. Results: HL was observed in 1,370 (7.4%) and 238 patients (8.5%) in the NFLD and FLD groups, respectively (p=0.041). Compared with the NFLD group, the odds ratio for HL in the FLD group was 1.16 (p=0.040) and 1.46 (p<0.001) in univariate and multivariate logistic regression analyses, respectively. Linear regression analyses revealed that FLI was positively associated with AHT in both univariate and multivariate analyses. Analyses using a propensity score-matched cohort showed trends similar to those using the total cohort. Conclusion: FLD and FLI were associated with poor hearing thresholds and HL. Therefore, active monitoring of hearing impairment in patients with FLD may be helpful for early diagnosis and treatment of HL in the general population.

CRANIOFACIAL STRUCTURE AND ARCH DIMENSION OF ADULT CLASS III MALOCCLUSION (성인 III급 부정교합자의 악안면골격구조 및 치열궁형태에 관한 연구)

  • Lee, Dong-Geun;Suhr, Cheong
    • The korean journal of orthodontics
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    • v.27 no.3 s.62
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    • pp.359-372
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    • 1997
  • This study was conducted to discern differences of craniofacial, dentoalveolar structure and model measurements between sex and between class n openbite group and non-openbite group. The sample consisted of 49 adult patients with class Il malocclusion. 24 linear measurements, 22 angular measurements and 12 ratios were selected in lateral cephalometry. Also, arch width, length, anterior crowding, average molar relation were measured or calculated in diagnostic model. The data were evaluated by t-test and multiple discriminant analysis. The results were as follows, 1. Most linear measurements, with the exception of MnBL and AUDH, were significantly larger in male(p<0.05). but, intermaxillary relations and spatial position of maxilla and mandible relative to cranial base were not different for both sex. 2. With the exception of upper and lower anterior crowding, lower arch width, upper arch length, AMR, male exhibited significantly larger measurements in model analysis (p<0.05). 3. Size differences of maxilla and mandible between openbite and non-openbite group were not significant(p>0.05). but openbite group showed significantly increased genial angle(p<0.05), FH-CoGo(p<0.01), FH-NA(p<0.01) and FH-NB, FH-NPog (p<0.05). 4. ALFH and PUDH were larger(p<0.05) in openbite group. this result served as compensation for the spatial position of mandible relative to cranial base. AUPUDH (p<0.001) and ALPLDH(p<0.05) were lower in openbite group. upper anterior crowding was the only measurement which showed difference between openbite and non-openbite group(p<0.05). 5. For the purpose of classifying adult class n openbite and non-openbite group, multiple discriminant analysis was done genial angle, ALPLDH, AUPUDH, FH-NA were included in multiple discriminant equation. 39 cases($92.86\%$) were correctly classified when applied to the sample used in this study.

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Hydrodynamic Simulation of Midwater Trawl System Behavior (중층 트롤 어구 시스템 운동의 유체역학적 시뮬레이션)

  • 차봉진;이춘우;이주희;김현영
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.38 no.2
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    • pp.164-171
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    • 2002
  • In this study, a mass-spring model is used to dynamically describe and calculate the shape and movement of a mid-water trawl system. This mathematical model theorizes that the factors constituting the system are the material points and the external forces such as hydrodynamic load, gravity, and buoyancy act on these material points. In addition, it surmises that these material points are connected to each other by springs, the springs do not have any mass, and the internal force acts on these springs. The non-linear differential equations are implicitly integrated with time for guaranteeing a stable solution. The dynamic simulation by the mass-spring model shows the status of the gear such as fishing gear depth, distance between doors, shape of the gear, and tension of each line. It depends on the parameters such as towing force, warp length, force of a sinker, buoyancy of a float, type of door and netting materials. The validity of the model is verified by comparing simulation motions of a trawl system obtained from computed values to those from an actual experiment.

Analytical Study on Behavior Characteristic of Shear Friction on Reinforced Concrete Shear Wall-Foundation Interface using High-Strength Reinforcing Bar (고강도 전단철근을 사용한 철근콘크리트 전단벽체-기초계면에서의 전단마찰 거동특성에 대한 해석적 연구)

  • Cheon, Ju-Hyun;Lee, Ki-Ho;Baek, Jang-Woon;Park, Hong-Gun;Shin, Hyun-Mock
    • Journal of the Korea Concrete Institute
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    • v.28 no.4
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    • pp.473-480
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    • 2016
  • The purpose of this study is to provide analytical method to reasonably evaluate the complicated failure behaviors of shear friction of reinforced concrete shear wall specimens using grade 500 MPa high-strength bars. A total of 16 test specimens with a variety of variables such as aspect ratio, friction coefficient of interface in construction joint, reinforcement details, reinforcement ratio in each direction, material properties were selected and the analysis was performed by using a non-linear finite element analysis program (RCAHEST) applying the modified shear friction constitutive equation in interface based on the concrete design code (KCI, 2012) and CEB-FIP Model code 2010. The mean and coefficient of variation for maximum load from the experiment and analysis results was predicted 1.04 and 17% respectively and properly evaluated failure mode and overall behavior characteristic until failure occur. Based on the results, the analysis program that was applied modified shear friction constitutive equation is judged as having a relatively high reliability for the analysis results.

The Community Attachment and Attitudes toward Baekdudaegan Tourism Development: An Application of Covariance Structural Analysis (백두대간 관광개발이 지역애착과 관광태도에 미치는 효과 분석: 공변량구조모형의 적용)

  • Joo, Sung-Hyun;Park, Sang-Jun;Han, Sang-Yoel
    • Journal of Korean Society of Forest Science
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    • v.96 no.6
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    • pp.625-632
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    • 2007
  • The purpose of this study was to analyze the conceptional structure of residents' perception among tourism development impacts (economic benefits, social and environmental impact), community attachment and attitudes towards the effects of Baekdudaegan tourism development. This paper was adopted LISREL (linear structural relationships) approach, covariance structural equation model, to provided some insights on tourism development. Data of 356 were collected from Youngu and Mungyeong cities surrounding Baekdudaegan in Gyeongsangbuk-do. The results indicate that perceived economic benefits are rather greater impacts on attitudes than perceived social and environmental ones directly and indirectly. Also, perceived social impacts influence community attachment, however, perceived economic benefits and environmental impacts do not influence community attachment directly. Finally results reveal that the attitudes for supporting tourism development were found positively influenced by the identity of community attachment. Differently social exchange theory, the results suggested that residents' attitudes towards Baekdudaegan tourism development perceived positive strongly even a non related tourism resident.

Stiffness Improvement of Timing Belt in Power Transmission (동력전달용 타이밍벨트의 강성 개선)

  • Lee, Kyeong-Yeon;Byun, Kyung-Seok
    • Journal of the Institute of Convergence Signal Processing
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    • v.23 no.1
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    • pp.1-7
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    • 2022
  • As a power transmission element, the timing belt is a toothed transmission belt that takes advantages of V-belts and gears. It has characteristics of non-slip and low noise. It is used as a power transmission device when transmitting power from a rotating shaft or linear motion in a mechanism. Rotation can be accurately transmitted through a belt pulley with grooves like a gear and a timing belt with grooves to precisely match with the belt pulley. In particular, in the mechanism in which the timing belt is used for the output shaft, the dynamic characteristics including the rigidity of the timing belt determine the transmission characteristics of the system, so its importance increases. In this paper, a stiffness reinforced belt that can be applied to a timing belt with a limited range of motion to increase its stiffness is proposed. To study the dynamic characteristics of the stiffness reinforced belt, the equation of motion for the stiffness reinforced belt was established, and a simulation model for the stiffness reinforced belt was created and analyzed. In order to confirm the analysis results of the motion equation and simulation model, a 1-axis rotation experimental equipment using a stiffness reinforcing belt was developed and the experiment was conducted. Through motion equations, simulation models, and experiment results, it was confirmed that the stiffness and dynamic characteristics of the timing belt could be improved by applying the proposed stiffness reinforcement belt.