• Structural Engineering and Mechanics
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• 제55권5호
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• pp.1055-1086
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• 2015

The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.

• Korean Chemical Engineering Research
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• 제50권5호
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• pp.830-836
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• 2012

Dead time은 공정의 동특성을 기술할 때 매우 자주 나타나는 것으로 공정의 동특성 모사 혹은 제어 시스템 분석에 많은 어려움을 준다. 이 어려움을 줄이기 위해 무한 차원의 dead time을 유한 차원의 전달함수로의 근사가 필요한데, 여기에는 Pade 근사가 자주 사용된다. Dead time의 정밀한 근사를 위해서는 고차의 Pade 근사가 필요한데, 고차의 Pade 근사식은 외우기 쉽지 않고 수치적으로 안정적이지 못하다. 이 Pade 근사와 같은 전달함수를 주지만 수치적으로 우수한 continued fraction 전개를 이용하는 방법을 제안하고자 한다. 제안하는 방법은 수치적으로 우수할 뿐만 아니라 매우 체계적이어서 쉽게 기억할 수 있어 공정제어 강의와 계산에 편리하게 이용할 수 있을 것이다.

• Structural Engineering and Mechanics
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• 제66권5호
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• pp.649-663
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• 2018

The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.

• 한국수학교육학회지시리즈A:수학교육
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• 제40권1호
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• pp.113-123
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• 2001

We investigated an irrational constant e and compared its computational methods using spreadsheet. Such methods are based on classical definition, infinite series, continued fraction, infinite product exponential function and accelerated classical method. This kind of work is focused on experimental mathematics using computers in math class. This approach will be helpful for mathematics teachers to teach constant e in their classroom.

• 대한중풍순환신경학회지
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• 제22권1호
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• pp.45-56
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• 2021

■ Background Heart Failure with Preserved Ejection Fraction(HFpEF) is a heart failure that appears to have normal contraction function. In the case of HFpEF, no pharmacological therapy has been found to improve clinical prognosis, so it should be approached as an symptomatic treatment, therefore alternatives are needed due to concerns over adverse effects such as electrolyte imbalance caused by medication. ■ Case report A 81 year old female patient with Heart Failure with Preserved Ejection Fraction(HFpEF) patient complained dyspnea. Herbal prescription Mokbanggi-tang and Oryeongsan was administered on 6th day and 8th day respectively since the symptoms started. The NYHA Classification and Chest X-ray had been evaluated during the treatment period. Until the 7th day, the patient was classified as Class II, and when discharged from the hospital on the 28th day, it gradually improved and was classified as Class II. Chest X-Ray took on 2nd day showed pleural effusion and it was aggravated until 13th day. Follow up Chest X-Ray showed improving state of pleural effusion from 20th day and gradually got better. Mokbanggi-tang treatment continued for 52 days and stopped on 58th day. After Mokbanggi-tang treatment ended, only Oryeongsan treatment was maintained. ■ Conclusion The present case report suggests that Korean-Western medicine approach with Mokbangki-tang and Oryeongsan might be effective to pleural effusion and heart failure symptoms such as poor physical activity shown in a NYHA Classification. This shows that Mokbanggi-tang and Oryeongsan can be a therapeutic option as a treatment for patient with Heart Failure with Preserved Ejection Fraction(HFpEF).

• 한국지반공학회논문집
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• 제29권1호
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• pp.93-107
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• 2013

입상체의 열전도도 산정에 관한 연구는 다공질 매질이나 지반공학에서 다양하게 사용될 수 있다. 입상체의 열전도도 산정은 입자들 사이의 에너지 관계에 대한 모사를 통해 "유효 열전도도"를 획득하는 것으로 발전하였다. 본 연구는 불포화토의 유효 열전도도를 산정하기 위해 3차원 개별 요소법을 이용하여 입자를 생성하고 기존 네트워크 모델을 수정하여 적용하였다. 수정된 네트워크 모델을 검증하기 위해 3가지 다른 크기의 글라스 비즈와 주문진사를 이용하여 실내시험을 통해 흙-수분 특성 곡선과 포화도에 따른 시료의 열전도도를 산정하였다. 수정된 네트워크 모델에서는 흙-수분 특성 곡선을 사용하여 입자 사이의 평균 유효 열전달 실린더 반경을 조정하고 모델에 적용하였다. 일련의 실내시험과 수정된 네트워크 모델을 사용하여 결과를 비교한 결과, 흙-수분 특성 곡선을 적용한 네트워크 모델은 주어진 불포화 조건에서 입상체 시료의 유효 열전도도를 합리적으로 모사할 수 있는 것으로 나타났다. 또한, 포화상태의 유효 열전달 실린더 반경 계수로 정규화한 예측식을 제안하였다. 제안한 예측식을 통해 기존 네트워크 모델을 사용하여 불포화 상태에서 입상체의 유효 열전도도를 산정할 수 있다.