• Title/Summary/Keyword: Central Differential Method

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Analysis of structural dynamic reliability based on the probability density evolution method

  • Fang, Yongfeng;Chen, Jianjun;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • v.45 no.2
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    • pp.201-209
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    • 2013
  • A new dynamic reliability analysis of structure under repeated random loads is proposed in this paper. The proposed method is developed based on the idea that the probability density of several times random loads can be derived from the probability density of single-time random load. The reliability prediction models of structure based on time responses under several times random loads with and without strength degradation are obtained by using the stress-strength interference theory and probability density evolution method. The resulting differential equations in the prediction models can be solved by using the forward finite difference method. Then, the probability density functions of strength redundancy of the structures can be obtained. Finally, the structural dynamic reliability can be calculated using integral method. The efficiency of the proposed method is demonstrated numerically through a speed reducer. The results have shown that the proposed method is practicable, feasible and gives reasonably accurate prediction.

A Study on a Visual Sensor System for Weld Seam Tracking in Robotic GMA Welding (GMA 용접로봇용 용접선 시각 추적 시스템에 관한 연구)

  • 김재웅;김동호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.643-646
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    • 2000
  • In this study, we constructed a preview-sensing visual sensor system for weld seam tracking in real time in GMA welding. A sensor part consists of a CCD camera, a band-pass filter, a diode laser system with a cylindrical lens, and a vision board for inter frame process. We used a commercialized robot system which includes a GMA welding machine. To extract the weld seam we used a inter frame process in vision board from that we could remove the noise due to the spatters and fume in the image. Since the image was very reasonable by using the inter frame process, we could use the simplest way to extract the weld seam from the image, such as first differential and central difference method. Also we used a moving average method to the successive position data of weld seam for reducing the data fluctuation. In experiment the developed robot system with visual sensor could be able to track a most popular weld seam, such as a fillet-joint, a V-groove, and a lap-joint of which weld seam include planar and height directional variation.

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Vibrational characteristics of sandwich annular plates with damaged core and FG face sheets

  • Xi, Fei
    • Steel and Composite Structures
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    • v.44 no.1
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    • pp.65-79
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    • 2022
  • The main goal of this paper is to study the vibration of damaged core laminated annular plates with FG face sheets based on a three-dimensional theory of elasticity. The structures are made of a damaged isotropic core and two external face sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. In this study the effect of microcracks on the vibrational characteristic of the sandwich plate is considered. In particular, the structures are made by an isotropic core that undergoes a progressive uniform damage, which is modeled as a decay of the mechanical properties expressed in terms of engineering constants. These defects are uniformly distributed and affect the central layer of the plates independently from the direction, this phenomenon is known as "isotropic damage" and it is fully described by a scalar parameter. Three complicated equations of motion for the sectorial plates under consideration are semi-analytically solved by using 2-D differential quadrature method. Using the 2-D differential quadrature method in the r- and z-directions, allows one to deal with sandwich annular plate with arbitrary thickness distribution of material properties and also to implement the effects of different boundary conditions of the structure efficiently and in an exact manner. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. The sandwich annular plate is assumed to have any arbitrary boundary conditions at the circular edges including simply supported, clamped and, free. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution, and boundary conditions.

AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED THIRD ORDER CONVECTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • v.36 no.1_2
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    • pp.135-154
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    • 2018
  • In this paper, an almost second order overlapping Schwarz method for singularly perturbed third order convection-diffusion type problem is constructed. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the combination of classical finite difference scheme and central finite difference scheme on a uniform mesh while on the non-layer region we use the midpoint difference scheme on a uniform mesh. It is shown that the numerical approximations which converge in the maximum norm to the exact solution. We proved that, when appropriate subdomains are used, the method produces convergence of second order. Furthermore, it is shown that, two iterations are sufficient to achieve the expected accuracy. Numerical examples are presented to support the theoretical results. The main advantages of this method used with the proposed scheme are it reduce iteration counts very much and easily identifies in which iteration the Schwarz iterate terminates.

Numerical simulation of advection-diffusion on flow in waste stabilization ponds (1-dimension) with finite difference method forward time central space scheme

  • Putri, Gitta Agnes;Sunarsih, Sunarsih;Hariyanto, Susilo
    • Environmental Engineering Research
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    • v.23 no.4
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    • pp.442-448
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    • 2018
  • This paper presents the numerical simulation of advection-diffusion mechanism of BOD concentration which was used as an indicator of waste only in one flow-direction of waste stabilization ponds (1-dimension (1-D)). This model was represented in partial differential equation order 2. The purpose of this paper was to determine the simulation of the model 1-D of wastewater transport phenomena based advection-diffusion mechanism and did validate the model. Numerical methods which was used for the solution of this model is finite difference method with Forward Time Central Space scheme. The simulation results which was obtained would be compared with field observation data as a validation model. Collection of field data was carried out in the Wastewater Treatment Plant Sewon, Bantul, D.I. Yogyakarta. The results of numerical simulations were indicate that the advection-diffusion mechanism takes place continuously over time. Then validation of the model was state that there was a difference between the calculation results with the field data, with a correlation value of 0.998.

Comparison of Various Methods Applied to the Leukocyte Differential Counting (각종백혈구백분비계산법(各種白血球百分比計算法)에 관(關)한 고찰(考察))

  • Yoon, Young Hun
    • Korean Journal of Veterinary Research
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    • v.1 no.1
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    • pp.30-35
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    • 1961
  • Inasmuch as a great variety of methods for the leukocyte differential counting have been described, it may be expected that actual counts obtained considerably vary according with the particular methods applied to the enumeration of differentiated leukocyes. An attempt, therefore, was undertaken to compare the values measured by five authentic methods commonly in use with those obtained by thirteen methods devised by the author. The results seemed to indicate that relatively reliable method is to count, end to end, all leucocytes on fields looted on the central horizontal axis of the film and two adjacent lines parallel to the central line and quartering the film.

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Finite Element Analysis of Piston Slap Phenomenon in Reciprocating Compressors Considering Coolant Circulation (냉매순환을 고려한 왕복동형 압축기의 피스톤 슬랩현상에 대한 유한요소 해석)

  • Moon, Seung-Ju;Cho, Jin-Rae;Kim, Hyun-Ok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.7
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    • pp.1087-1094
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    • 2003
  • The piston slap phenomenon occurs when the piston collides with the internal wall of the cylinder. Impact force caused by piston slap is one of the major mechanical noise sources in reciprocating compressors. In response to public demand, strict regulations are increasingly being imposed on the allowable noise level which is caused mostly by household electric appliances. In this paper, forces acting on piston by considering the dynamic behavior of suction and discharge valves are analytically calculated and the piston slap caused by the piston secondary motion is investigated by the finite element method.

Cytologic Features of Intracranial Germ Cell Tumors in Crush Preparation (두개내 악성 생식세포종양의 압착도말 세포학적 소견)

  • Yim, Hyun-Ee;Kim, Jung-Sun;Shim, Chul
    • The Korean Journal of Cytopathology
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    • v.7 no.2
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    • pp.177-184
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    • 1996
  • Intraoperative cytologic examination of intracranial tumors using crush preparation provides useful information in operative decision making. The diminutive nature of many biopsy specimens, particularly those obtained by stereotactic neurosurgical procedures emphasizes the importance of combining the cytologic smear method with conventional frozen section interpretation. The great advantage of the cytologic smear method resides in its suitability for the study of minute fragments of tissue, allowing retention of the majority of the specimen for optimal processing. We present the cytologic features of 3 cases of intracranial germ cell tumors(2 germinomas and 1 endodermal sinus tumor), using crush preparation during intraoperative diagnosis and compare them with histologic findings. The cytologic features of the germ cell tumors were similar to those of the respective gonadal counterparts. The cytologic differential diagnosis of both types of germ cell tumors is described.

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A Study on the Controller of Integration Smoke Control System (통합 제연시스템의 컨트롤러 개발에 관한 연구)

  • Lee, Dong-Myung
    • Fire Science and Engineering
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    • v.20 no.1 s.61
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    • pp.77-82
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    • 2006
  • This study defined engineering mechanism and compensation method to establish reference pressure of smoke control zone with atmospheric pressure that is compensated for temperature. The reliable controller of integration smoke control was developed by establishing the specifications, algorithms and constructing engineering data. The development of controller for integration smoke control can cut down number of processes, manufacturing and installation cost by removing pressure measurement pipe established separately for non smoke control zone, and improve the accuracy of pressure differential by embedding pressure measurement ports for non smoke control zone. More correct and reliable pressure differentials can be obtained by the central control from controller of integration smoke control rather than the existent individual control. This will provide the basics and the flexibility to the integral smoke control system and accordingly improve the performance of disaster prevention.

Comparison of Physicochemical Properties between Ursodeoxycholic Acid and Chenodeoxycholic Acid Inclusion Complexes with ${\beta}-Cyclodextrin$ (우르소데옥시콜린산 및 케노데옥시콜린산의 베타시클로덱스트린 포접복합체의 물리화학적 특성비교)

  • Lee, Seung-Yong;Chung, Youn-Bok;Han, Kun;Shin, Jae-Young
    • YAKHAK HOEJI
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    • v.38 no.3
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    • pp.300-310
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    • 1994
  • Physicochemical properties for the inclusion complex of chenodeoxycholic acid(CDCA) and it's $7{\beta}-hydroxy$ epimer ursodeoxycholic acid(UDCA) with ${\beta}-cyclodextrin({\beta}-CyD)$ were studied. The formation of the complex in the solid state were confimed by polarized microscopy and differential scanning calorimetry(DSC). Proton nuclear magnetic resonance$(^1H-NMR)$spectroscopy showed that CDCA and UDCA form an inclusion complex with ${\beta}-CyD$ in aqueous solution. The 1 : 1 stoichiometry of the complex was dextermined by the continuous variation method. From DSC and $^1H-NMR$ studies, there were not any differences between CDCA and UDCA. Complex of CDCA and UDCA showed increase in solubility and dissolution compared with CDCA and UDCA alone, respectively. Solubility pattern of UDCA complex was pH independent but, CDCA complex was like that of CDCA. Dissolution rate increased markedly in case of UDCA complex compared with CDCA complex, especially in acidic pH value.

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