• 한국소음진동공학회논문집
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• 제25권2호
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• pp.116-123
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• 2015

This paper proposed a new formula for predicting acoustic power transmission loss of simple expansion chamber with two internal partitions. Seventeen cases of computational results were performed and the database was constructed for the TL according to the various positions of internal partitions. Using this database, firstly, the formula for the peak values of TL at certain frequencies was developed using the least square estimation. Secondly, the formula for the TL curve could be obtained automatically with the input data of the positions of two internal partitions. The formula of TL developed in this paper showed good agreement with computational results. This formula will be helpful for the positioning of internal partitions to improve TL at target frequencies.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권2호
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• pp.43-52
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• 2002

By the use of Taylor's expansion formula with the integral remainder, an accurate approximation for the fiber refractive index profile is given.

• Journal of electromagnetic engineering and science
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• 제12권1호
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• pp.128-134
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• 2012

In this manuscript, we consider electromagnetic imaging of perfectly conducting cracks completely hidden in a homogeneous material via boundary measurements. For this purpose, we carefully derive a topological derivative formula based on the asymptotic expansion formula for the existence of a perfectly conducting inclusion with a small radius. With this, we introduce a topological derivative based imaging algorithm and discuss its properties. Various numerical examples with noisy data show the effectiveness and limitations of the imaging algorithm.

• Communications for Statistical Applications and Methods
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• 제23권1호
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• pp.21-32
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• 2016

We study asymptotic expansion formulae for numerical computation of Greeks (i.e. sensitivity) in finance. Our approach is based on the integration-by-parts formula of the Malliavin calculus. We propose asymptotic expansion of Greeks for a stochastic volatility model using the Greeks formula of the Black-Scholes model. A singular perturbation method is applied to derive asymptotic Greeks formulae. We also provide numerical simulation of our method and compare it to the Monte Carlo finite difference approach.

• 문화기술의 융합
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• 제8권4호
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• pp.407-413
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• 2022

본 연구에서는 약 3년간의 장기계측을 바탕으로 공용중인 복층 교량인 상부 도로교의 신축이음 신축량과 하부 철도교의 케이블 장력 간의 상관관계를 입증함으로서 온도변화에 따른 케이블 장력 평가 경험식을 제안하였다. 본 연구에서 제안한 케이블별 장력 평가 경험식을 이용한 장력 예측결과는 진동법을 이용한 장력과 3% 이내로 잘 일치하는 것으로 나타나 공용중인 케이블의 장력 예측 및 평가에 실험적인 기법인 진동법과 함께 적용이 가능할 것으로 판단되었다. 본 연구에서 제안한 신축량 경험식으로 산출한 추정온도를 케이블 경험식에 적용한 결과, 현장시험 진동법 측정결과와 비교시 높은 신뢰수준을 확보할 수 있을 것으로 분석되었다. 따라서 본 연구에서 제안한 추정온도를 반영한 장력 평가 경험식은 향후 기후변화에 따른 케이블의 장력 예측 및 유지관리방안 수립에 활용될 수 있을 것으로 판단된다.

• 호남수학학술지
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• 제44권4호
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• pp.485-503
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• 2022

In this work, a discontinuous singular Dirac system is studied. For this system, a spectral function is constructed. Finally, by using the spectral function, a spectral expansion formula is given.

• 한국지반공학회논문집
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• 제18권2호
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• pp.137-146
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• 2002

본 연구에서는 국내 해성퇴적 연약지반의 압밀특성을 실험적으로 규명하기 위하여 현장에서의 픽에조콘을 이용한 간극수압소산시험을 수행하고 동일한 위치와 심도에서 채취한 비교란시료를 이용하여 실내에서 Howe cell 압밀시험을 포함한 역학시험과 물성시험을 수행하였다. 이를 근거로 howe cell 압밀시험으로부터 구한 수평압밀계수$(c_r)$와 피에조콘 소산시험으로부터 구한 압밀도 50%에 해당하는 소산시간$(t_{50})$의 관계를 회귀분석을 통하여 실험식을 제안하였으며 이 실험식과 기존의 여러 학자들에 의해 제안된 이론해와의 관계를 비교하였다. 이에 의하면 실린더형 공동팽창이론에 근거한 Torstensson(1977)의 이론해와 변형률경로법에 근거한 Houlsby와 Teh(1988)의 이론해에 비교적 유사한 경향을 보이는 것으로 나타났다

• 대한기계학회논문집A
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• 제27권2호
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• pp.262-267
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• 2003

Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

• 한국지반환경공학회 논문집
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• 제17권7호
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• pp.27-33
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• 2016

This study expanded Terzaghi arching formula, which assumed a vertical surface as a sliding surface, to consider an arbitrarily inclined surface as a sliding surface and examined the effect of a sliding surface. This study firstly developed a formula to expand the existing Terzaghi arching formula to consider an inclined surface as well as a vertical surface as a sliding surface under the downward movement of a trap door. Using the expanded formula, the effect of excavation, ground, and surcharge conditions on a vertical stress was examined and the results were compared with them from Terzaghi arching formula. The comparison indicated that the induced vertical stress was highly affected by the angle of an inclined sliding surface and the degree of influence depended on the excavation, ground, and surcharge conditions. It is expected that the results from this study would provide a better understanding of various arching phenomenon in the future.

• 한국세라믹학회지
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• 제55권1호
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• pp.67-73
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• 2018

A poled lead zirconate titanate (PZT) cube specimen that is switched by an electric field at room temperature is subject to temperature increase. Changes in polarization and thermal expansion coefficients are measured during temperature rise. The measured data are analyzed to obtain changes in pyroelectric coefficient and strain during temperature change. Empirical formulae are developed using linear or quadratic curve fitting to the data. The nonlinear behavior of the materials during temperature increase is predicted using the developed formulae. It is shown that the calculation results can be compared successfully with the measured values, which proves the accuracy and reliability of the developed formulae for the nonlinear behavior of the materials during temperature changes.