• 대한수학회보
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• 제38권3호
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• pp.463-474
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• 2001

We find Rodrigues type formula for multi-variate orthogonal polynomial solutions of second order partial differential equations.

• 대한수학회보
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• 제56권5호
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• pp.1327-1340
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• 2019

We establish a monotonicity formula of V-harmonic maps by using the stress-energy tensor. Use the monotonicity formula, we can derive a Liouville type theorem for V-harmonic maps. As applications, we also obtain monotonicity and constancy of Weyl harmonic maps from conformal manifolds to Riemannian manifolds and ${\pm}holomorphic$ maps between almost Hermitian manifolds. Finally, a constant boundary-value problem of V-harmonic maps is considered.

• Nuclear Engineering and Technology
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• 제30권4호
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• pp.287-297
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• 1998

The elastic stiffness formula of leaf type holddown spring(HDS) assembly is verified by comparing the values of elastic stiffness with the characteristic test results of the HDS's specimens. The comparisons show that the derived elastic stiffness formula is useful in reliably estimating the elastic stiffness of leaf type HDS assembly. The elastic stiffness sensitivity of leaf type HDS assembly is analyzed using the formula and its gradient vectors obtained from the mid-point formula. As a result of sensitivity analysis, the elastic stiffness sensitivity with respect to each design variable is quantified and design variables of large sensitivity are identified. Among the design variables, leaf thickness is identified as the most sensitive design variable to the elastic stiffness of leaf type HDS assembly. In addition, the elastic stiffness sensitivity, with respect to design variable, is in power-law type correlation to the base thickness of the leaf.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.65-79
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• 2007

An optimal 3-point quadrature formula of closed type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known Simpson's rule. A corrected formula is also considered. Various error inequalities for these formulas are established. Applications in numerical integration are given.

• Tribology and Lubricants
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• 제38권6호
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• pp.287-290
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• 2022

Compressed-water-type launching devices convert the force from compressed water into force-launching underwater structures, such as torpedos and autonomous underwater vehicles. In particular, the overpressure wave in the launching tube is a critical design factor for the launching device. This paper presents a simplified formula for simulating overpressure waves in the launching tube of a compressed-water-type launching device. Scaled model experiments were performed to obtain actual measurement data of overpressure waves in a launching tube with varying piston speeds to examine the practical applicability of the simplified formula. The main factor of the simplified formula was estimated using an optimization technique. The time history of the overpressure waves was satisfactorily simulated using the estimated factor values and showed consistency with the measurement data. In addition, the trend of change by the piston speed of the estimated factors was reviewed, and the practical applicability was demonstrated. A systematic study of the factors influencing the overpressure waves in launching tubes will be possible using experimental data for more various conditions and the proposed simplified formula.

• 한국소음진동공학회논문집
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• 제19권10호
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• pp.1034-1042
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• 2009

In this paper, the magic formula model was applied for a friction damper in a drum-type washing machine. To describe characteristics of the hysteretic damping force, Physical tests were first carried out to get experimental results using an MTS machine. Then, parameters for the magic formula model were determined from the experimental curves. The ADAMS and MATLAB programs were used for the multibody modeling of the damper and process for parameter identification. The model of drum-type washing machine was applied for a dynamic model of friction damper, in which the accuracy of the proposed damper model was verified.

• 대한토목학회논문집
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• 제40권5호
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• pp.497-507
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• 2020

Tetrapod로 피복된 경사형 수중구조물을 대상으로 파랑의 전파현상을 검토하기 위해 2차원 수리실험을 수행하였다. 수리실험은 수중구조물의 서로 다른 상대여유수심, 상대여유고, 상대상단폭 및 파형경사 등을 적용하여 수행되었다. 수리실험결과를 이용하여 경사형(부분투과형) 수중구조물에 대한 파고전달계수 산정식을 제안하였다. 제안된 경험식은 경사형 수중구조물의 파고전달계수를 충분한 정도로 예측함을 확인하였으며, 기존 경험식을 개선하였다.

• 대한한의학원전학회지
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• 제25권1호
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• pp.17-29
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• 2012

Indications of Hyeongbangpaedok-san for Soyang-type on "Donguisusebowon" are small. Therefore, indications of Hyeongbangpaedok-san for Soyang-type need to be extended for broader clinical use. There would be some methods to do that, and we could review "Dongeuibogam" that Four-Constitution Medicine formulas are based on. We reviewed Hyeongbangpaedok-san, Insampaedok-san which is the origin of Hyeongbangpaedok-san, and their modified formula(加減方) on "Dongeuibogam". As a result, we supposed 12 indications of non-classical formula(後世方) Hyeongbangpaedok-san, 2 indications of modified formula of non-classical formula Hyeongbangpaedok-san, and 12 indications of Insampaedok-san and its modified formula as possible indications of Hyeongbangpaedok for Soyang-type.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권3호
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• pp.245-261
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• 2015

The notion of a parabolically semistandard tableau is a generalisation of Young tableau, which explains combinatorial aspect of various Howe dualities of type A. We prove a Jacobi-Trudi type formula for the character of parabolically semistandard tableaux of a given generalised partition shape by using non-intersecting lattice paths.

• 대한토목학회논문집
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• 제40권5호
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• pp.485-496
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• 2020

잠제와 인공리프와 같은 수중구조물은 연안역의 침식 등의 대책으로 일반적으로 사용되고 있다. 본 연구에서는 Tetrapod로 제체를 형성한 투과형 수중구조물을 대상으로 파랑의 전달에 대한 2차원 수리실험을 수행하였다. 수리실험은 서로 다른 상대여유수심, 상대여유고, 상대상단폭 및 파형경사 등을 적용하여 수행되었다. 수리실험결과를 이용하여 투과형 수중구조물에 의한 파고전달계수 산정식을 제안하였다. 제안된 경험식은 파고전달계수를 충분한 정도로 예측함을 확인하였으며, 기존 경험식을 개선하였다.