• 제목/요약/키워드: mathematical treatment

검색결과 237건 처리시간 0.026초

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

  • Giaralis, Agathoklis;Spanos, Pol D.
    • Earthquakes and Structures
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    • 제3권5호
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    • pp.719-747
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    • 2012
  • In this paper a novel approach is proposed to address the problem of deriving non-stationary stochastic processes which are compatible in the mean sense with a given (target) response (uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated by contemporary codes of practice. The appealing feature of the approach is that it is non-iterative and "one-step". This is accomplished by solving a standard over-determined minimization problem in conjunction with appropriate median peak factors. These factors are determined by a plethora of reported new Monte Carlo studies which on their own possess considerable stochastic dynamics merit. In the proposed approach, generation and treatment of samples of the processes individually on a deterministic basis is not required as is the case with the various "two-step" approaches found in the literature addressing the herein considered task. The applicability and usefulness of the approach is demonstrated by furnishing extensive numerical data associated with the elastic design UHS of the current European (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thus attractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (K-T) or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping and duration dependent median peak factor spectra, given in a polynomial form, associated with the first passage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully, the herein derived stochastic processes and median peak factor spectra can be used to facilitate the aseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulation-based or stochastic dynamics-based context of analysis.

Evaluation of TMJ sound on the subject with TMJ disorder by Joint Vibration Analysis

  • Hwang, In-Taek;Jung, Da-Un;Lee, Jae-Hoon;Kang, Dong-Wan
    • The Journal of Advanced Prosthodontics
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    • 제1권1호
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    • pp.26-30
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    • 2009
  • STATEMENT OF PROBLEM. Qualitative and semi-quantitative methods have been developed for TMJ sound classification, but the criteria presented are completely inhomogeneous. Thus, to develop more objective criteria for defining TMJ sounds, electroacoustical systems have been developed. We used Joint vibration analysis in the BioPAK system(Bioresearch Inc., Milwaukee, USA) as the electrovibratography. PURPOSE. The aim of this study was to examine the TMJ sounds with repect to frequency spectra patterns and the integral > 300 Hz /< 300 Hz ratios via six-months follow-up. MATERIAL AND METHODS. This study was done before and after the six-months recordings with 20 dental school students showed anterior disk displacement with reduction. Joint vibrations were analyzed using a mathematical technique known as the Fast Fourier Transform. RESULTS. In this study Group I and Group II showed varied integral > 300 /< 300 ratios before and after the six-months recordings. Also, by the comparative study between the integral > 300 /< 300 ratios and the frequency spectrums, it was conceivable that the frequency spectrums showed similar patterns at the same location that the joint sound occurred before and after the six-months recordings. while the frequency spectrums showed varied patterns at the different locations that the joint sound occurred before and after six-month recordings, it would possibly be due to the differences in the degree of internal derangement and/or in the shape of the disc. CONCLUSIONS. It is suggested that clinicians consider the integral > 300 /< 300 ratios as well as the frequency spectrums to decide the starting-point of the treatment for TMJ sounds.

Energy-saving potential of cross-flow membrane emulsification by ceramic tube membrane with inserted cross-section reducers

  • Albert, K.;Vatai, Gy.;Giorno, L.;Koris, A.
    • Membrane and Water Treatment
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    • 제7권3호
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    • pp.175-191
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    • 2016
  • In this work, oil-in-water emulsions (O/W) were prepared successfully by membrane emulsification with $0.5{\mu}m$ pore size membrane. Sunflower oil was emulsified in aqueous Tween80 solution with a simple crossflow apparatus equipped with ceramic tube membrane. In order to increase the shear-stress near the membrane wall, a helical-shaped reducer was installed within the lumen side of the tube membrane. This method allows the reduction of continuous phase flow and the increase of dispersed phase flux, for cost effective production. Results were compared with the conventional cross-flow membrane emulsification method. Monodisperse O/W emulsions were obtained using tubular membrane with droplet size in the range $3.3-4.6{\mu}m$ corresponded to the membrane pore diameter of $0.5{\mu}m$. The final aim of this study is to obtain O/W emulsions by simple membrane emulsification method without reducer and compare the results obtained by membrane equipped with helix shaped reducer. To indicate the results statistical methods, $3^p$ type full factorial experimental designs were evaluated, using software called STATISTICA. For prediction of the flux, droplet size and PDI a mathematical model was set up which can describe well the dependent variables in the studied range, namely the run of the flux and the mean droplet diameter and the effects of operating parameters. The results suggested that polynomial model is adequate for representation of selected responses.

파낭에 의한 해수면의 변화가 해양구조물의 동적거동에 미치는 영향 (Effects of Free Surface Fluctuation on the Response of Submerged Structure)

  • Cho, Yong-Jun;Yoo, Keung-Hwan
    • 한국해안해양공학회지
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    • 제5권1호
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    • pp.1-10
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    • 1993
  • 1차 자유도를 갖는 해양구조물을 선정하여 long crested, stationary, Gaussian random waves가 구조물의 동적응답 스펙트럼에 미치는 영향에 대해 규명하였다. 해수면 부근에서 주기적으로 수면위로 부상하는 연직부재를 고려하기 위해 hybrid Morison equation을 제안했고 이 방정식을 기초로 파력을 계산했다. 주기적으로 수면위로 부상하는 효과를 고려한 결과 동적응답 스펙트럼은 감소하였으며 고차 응당성분이 발생했다. 또한 동적응답 스펙트럼은 주파수가 증가할수록 감소하는 경향을 보였으며 이는 해수면 위로 주기적으로 부상하는 현상을 고려할 때 발생하는 고차응답성분 때문인 것으로 사료된다.

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Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

  • Giaralis, Agathoklis;Spanos, Pol D.
    • Earthquakes and Structures
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    • 제3권3_4호
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    • pp.581-609
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    • 2012
  • In this paper a novel non-iterative approach is proposed to address the problem of deriving non-stationary stochastic processes which are compatible in the mean sense with a given (target) response (uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated by contemporary codes of practice. This is accomplished by solving a standard over-determined minimization problem in conjunction with appropriate median peak factors. These factors are determined by a plethora of reported new Monte Carlo studies which on their own possess considerable stochastic dynamics merit. In the proposed approach, generation and treatment of samples of the processes individually on a deterministic basis is not required as is the case with the various approaches found in the literature addressing the herein considered task. The applicability and usefulness of the approach is demonstrated by furnishing extensive numerical data associated with the elastic design UHS of the current European (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thus attractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (K-T) or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping and duration dependent median peak factor spectra, given in a polynomial form, associated with the first passage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully, the herein derived stochastic processes and median peak factor spectra can be used to facilitate the aseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulation-based or stochastic dynamics-based context of analysis.

단계별 성장 개념의 기질 이용과 미생물 호흡모델 개발 (Development of the Substrate Utilization and Respiration Model by the Step Growth Concept)

  • 김연권;서인석;김홍석;김지연
    • 대한토목학회논문집
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    • 제26권4B호
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    • pp.433-437
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    • 2006
  • 최근, 활성 슬러지 공법에 대한 수학적 모델링은 폐수처리장의 설계와 운영에 있어서 매우 중요한 인자로 인식되고 있다. 그럼에도 불구하고, BNR 공정에서 미생물의 성장 및 호흡과 관련한 내 외부 기질의 이용 경로에 관한 정보는 여전히 부족한 실정이다. 본 논문에서는 ASM No.3와 비교되는 새로운 개념의 활성슬러지 모델을 제시하고자 한다. 미생물의 단계별 성장이론에 근거한 이 모텔의 구조는 호기성 저장, 내부저장물질(ISCs; Intercellular Storage Compounds)과 외부기질 활용에 따른 미생물의 성장, 내생호흡과 내부저장물질을 이용한 호기성 호흡 등 5 단계로 구성되어 있다. 단계적 성장모델에 기초한 예측결과는 산소이용율(OUR)과 TCOD에 의한 실험결과에 있어 ASM No.3의 결과보다 더욱 일치함을 나타냈다.

A Comprehensive Analysis of Deformable Image Registration Methods for CT Imaging

  • Kang Houn Lee;Young Nam Kang
    • 대한의용생체공학회:의공학회지
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    • 제44권5호
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    • pp.303-314
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    • 2023
  • This study aimed to assess the practical feasibility of advanced deformable image registration (DIR) algorithms in radiotherapy by employing two distinct datasets. The first dataset included 14 4D lung CT scans and 31 head and neck CT scans. In the 4D lung CT dataset, we employed the DIR algorithm to register organs at risk and tumors based on respiratory phases. The second dataset comprised pre-, mid-, and post-treatment CT images of the head and neck region, along with organ at risk and tumor delineations. These images underwent registration using the DIR algorithm, and Dice similarity coefficients (DSCs) were compared. In the 4D lung CT dataset, registration accuracy was evaluated for the spinal cord, lung, lung nodules, esophagus, and tumors. The average DSCs for the non-learning-based SyN and NiftyReg algorithms were 0.92±0.07 and 0.88±0.09, respectively. Deep learning methods, namely Voxelmorph, Cyclemorph, and Transmorph, achieved average DSCs of 0.90±0.07, 0.91±0.04, and 0.89±0.05, respectively. For the head and neck CT dataset, the average DSCs for SyN and NiftyReg were 0.82±0.04 and 0.79±0.05, respectively, while Voxelmorph, Cyclemorph, and Transmorph showed average DSCs of 0.80±0.08, 0.78±0.11, and 0.78±0.09, respectively. Additionally, the deep learning DIR algorithms demonstrated faster transformation times compared to other models, including commercial and conventional mathematical algorithms (Voxelmorph: 0.36 sec/images, Cyclemorph: 0.3 sec/images, Transmorph: 5.1 sec/images, SyN: 140 sec/images, NiftyReg: 40.2 sec/images). In conclusion, this study highlights the varying clinical applicability of deep learning-based DIR methods in different anatomical regions. While challenges were encountered in head and neck CT registrations, 4D lung CT registrations exhibited favorable results, indicating the potential for clinical implementation. Further research and development in DIR algorithms tailored to specific anatomical regions are warranted to improve the overall clinical utility of these methods.

Evaluation of a Nutrition Model in Predicting Performance of Vietnamese Cattle

  • Parsons, David;Van, Nguyen Huu;Malau-Aduli, Aduli E.O.;Ba, Nguyen Xuan;Phung, Le Dinh;Lane, Peter A.;Ngoan, Le Duc;Tedeschi, Luis O.
    • Asian-Australasian Journal of Animal Sciences
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    • 제25권9호
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    • pp.1237-1247
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    • 2012
  • The objective of this study was to evaluate the predictions of dry matter intake (DMI) and average daily gain (ADG) of Vietnamese Yellow (Vang) purebred and crossbred (Vang with Red Sindhi or Brahman) bulls fed under Vietnamese conditions using two levels of solution (1 and 2) of the large ruminant nutrition system (LRNS) model. Animal information and feed chemical characterization were obtained from five studies. The initial mean body weight (BW) of the animals was 186, with standard deviation ${\pm}33.2$ kg. Animals were fed ad libitum commonly available feedstuffs, including cassava powder, corn grain, Napier grass, rice straw and bran, and minerals and vitamins, for 50 to 80 d. Adequacy of the predictions was assessed with the Model Evaluation System using the root of mean square error of prediction (RMSEP), accuracy (Cb), coefficient of determination ($r^2$), and mean bias (MB). When all treatment means were used, both levels of solution predicted DMI similarly with low precision ($r^2$ of 0.389 and 0.45 for level 1 and 2, respectively) and medium accuracy (Cb of 0.827 and 0.859, respectively). The LRNS clearly over-predicted the intake of one study. When this study was removed from the comparison, the precision and accuracy considerably increased for the level 1 solution. Metabolisable protein was limiting ADG for more than 68% of the treatment averages. Both levels differed regarding precision and accuracy. While level 1 solution had the least MB compared with level 2 (0.058 and 0.159 kg/d, respectively), the precision was greater for level 2 than level 1 (0.89 and 0.70, respectively). The accuracy (Cb) was similar between level 1 and level 2 (p = 0.8997; 0.977 and 0.871, respectively). The RMSEP indicated that both levels were on average under-or over-predicted by about 190 g/d, suggesting that even though the accuracy (Cb) was greater for level 1 compared to level 2, both levels are likely to wrongly predict ADG by the same amount. Our analyses indicated that the level 1 solution can predict DMI reasonably well for this type of animal, but it was not entirely clear if animals consumed at their voluntary intake and/or if the roughness of the diet decreased DMI. A deficit of ruminally-undegradable protein and/or a lack of microbial protein may have limited the performance of these animals. Based on these evaluations, the LRNS level 1 solution may be an alternative to predict animal performance when, under specific circumstances, the fractional degradation rates of the carbohydrate and protein fractions are not known.

방사성폐기물의 화학처리공정에 사용되는 유동관식 장치의 해석 : 물질전달 수율에 미치는 매개변수들의 민감도 (Analysis of the Behavior of Tubular-Type Equipment for Nuclear Waste Treatment : Sensitivities of the Parameters Affecting Mass Transfer Yield)

  • 유재형;이병직;심준보;김응호
    • 방사성폐기물학회지
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    • 제5권1호
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    • pp.91-99
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    • 2007
  • 본 연구에서는 방사성폐기물의 화학처리공정에 자주 사용되는 유동관식 장치 중 튜브형 반응기, 다단식 용매추출 장치, 흡착탑 등 물질전달이 수반되는 장치에 있어 각종 매개변수들이 반응수율이나 물질전달수율에 미치는 영향과 민감도를 살펴보았다. 먼저 각 장치에 대한 거동을 묘사하기 위하여 수학적 모델링을 수행하였고 전산모사를 통하여 해당 장치의 거동을 예측하였다. 그리고 그 결과로부터 해당 공정의 고유한 매개변수들이 반응수율 또는 물질전달수율에 미치는 영향과 민감도를 분석하였다. 튜브형 반응기에서는 확산계수, 반응속도상수 등이 반응수율에 미치는 영향을, 다단식 용매추출 장치에서는 연속상과 분산상의 분배계수, 연속상 흐름의 역혼합 등이 추출수율 및 장치 내 농도 분포에 미치는 영향을 고찰하였다. 또 흡착탑에 있어서는 흡착평형상수 및 유체-흡착재간 물질전달계수 등이 흡착 속도에 미치는 영향을 조사하였다.

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미생물막(微生物膜)을 이용(利用)한 폐수처리(廢水處理)의 수학적(數學的) 모델에 관한 연구(研究) (Mathematical Models of Substrate Utilization within Bacterial Films)

  • 정태학
    • 대한토목학회논문집
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    • 제1권1호
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    • pp.43-51
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    • 1981
  • 미생물(微生物)의 부착식(附着式) 성장(成長)을 이용(利用)한 폐수처리(廢水處理)의 이해(理解)를 돕기 위해 미생물막모형(微生物膜模型)을 정립(定立)하고 이의 simulation을 통하여 처리효율(處理効率)과 각종(各種) parameter 사이의 관계(關係)를 살펴보았다. 미생물막모형(微生物膜模型)은 기질(基質)의 침투정도(浸透程度)에 따라 두꺼운 막(膜)과 얇은 막(膜)으로 구분(區分)하고 각(各) 경우(境遇)에 대하여 미생물막내부(微生物膜內部)에서의 기질농도(基質濃度)와 flux를 산정(算定)할 수 있게 구성(構成)되어 있다. 모형(模型)의 정립과정(定立過程)에서 얻어진 무차원상수(無次元常數)인 ${\phi}_1$, ${\phi}_2$, 그리고 $\bar{S}_b$에 의해 기질농도(基質濃度)와 flux가 결정(決定)될 수 있음을 알았으며, ${\phi}_1$의 증가(增加)나 ${\phi}_2$의 감소(減少)에 의해 처리효율(處理効率)이 증가(增加)함을 알 수 있다. 또한 높은 처리효율(處理効率)을 유지(維持)하는 system은 모두 두꺼운 막(膜)에 속하는 것을 알 수 있다. 미생물막표면(微生物膜表面) 근처에서의 유속(流速)을 증가(增加)시킴으로써 두께가 일정(一定)한 막(膜)에 있어서 처리효율(處理効率)을 증가(增加)시킬 수 있다. 하지만 유속(流速)의 증가(增加)로 인해 sloughing이 많아져서 막(膜)의 두께가 감소(減少)하여 새로운 정상상태(定常狀態)로 바뀌게 된다. 현재(現在)까지 유속(流速)과 미생물막(微生物膜)두께사이의 관계(關係)가 정량적(定量的)으로 규명(糾明)되지 못하고 있으므로 새로운 정상상태(定常狀態)에서의 효율(効率)은 명백히 규정지을 수 없다.

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