• 한국해안해양공학회지
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• 제19권5호
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• pp.436-445
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• 2007

연속방정식 및 운동방정식을 사용하여 임의의 수심에 적용이 가능한 장파의 해를 해석적인 방법을 사용하여 유도하였다. 수심이 선형적으로 변화할 경우 지배 방정식의 해가 Bessel 함수로 표현된다는 사실을 응용하여 임의의 수심을 선형적으로 변화하는 구간의 연속으로 가정하여 해를 유도하였다. 기존에 유도된 해석 해와 비교를 하여 본 논문에서 유도된 해석 해의 타당성을 검증하였으며, 직립 구조물에 적용하여 해저 지형이 직립구조물의 처오름에 끼치는 영향을 조사하였다.

• Advances in materials Research
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• 제9권1호
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• pp.15-32
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• 2020

In this article, an analytical solution is presented for the steady-state axisymmetric thermal stress distributions in a composite hollow cylinder. The cylinder is composed of two isotropic and anisotropic materials which is subjected to the thermal boundary conditions of convective as well as radiative heating and cooling on the inner and outer surfaces, respectively. The solution of the temperature is obtained by means of Bessel functions and the thermal stresses are developed using Potential functions of displacement. Numerical results are derived for a cylinder which is similar to a gas turbine combustor and showed that the maximum temperature and thermal stresses (radial, hoop, axial) occurred in the middle point of cylinder and the values of thermal stresses in anisotropic cylinder are more than the isotropic cylinder. It is worthy to note that the values of the thermal conditions which estimated in this research, not to be presented in any other papers but these values are very accurate in calculation.

• International Journal of Reliability and Applications
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• 제14권2호
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• pp.79-96
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• 2013

Exponential distribution plays a key role in engineering reliability and its applications. The exponential failure model has been studied for years. This article introduces two new preliminary test estimators for the reliability function (R(t)) in complete and censored samples from the exponential model with the use of a prior estimation (${\theta}_0$) of the mean (${\theta}$). The proposed preliminary test estimators are studied and compared numerically with the existing estimators. Computer-intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed estimators are far better than classical and existing estimators.

• 지구물리와물리탐사
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• 제9권1호
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• pp.73-85
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• 2006

상시진동의 수직 성분에 대한 배열 관측은 상시진동이 대부분 레일리파의 기본 모드로 이루어졌다는 가정하에 지하 층서구조를 추정하기 위해 자주 수행된다. 자료획득, 처리 및 분석의 유용한 도구로서 공간 자기상관(SPAC) 방법이 많이 사용되는데 이는 실제로 M개의 원형 수진기 배열과 중앙의 하나 측점으로 이루어진다 (M 측점 원형 배열). 이 논문에서는 분석 효율 및 현장 노력의 관점에서 효율적인 자료획득을 위한 원형 배열에 필요한 측점의 최소 수에 대해 연구하였다. 이 연구에서는 먼저 M 무한대의 원형 배열을 위한 SPAC 계수들이 단지 Bessel 함수 J0(rk)(r은 반지름, k는 파수)로서 표현되는 SPAC 알고리듬의 이론적 배경을 재정리하였다. 두번째로 M 측점 원형 배열에 대해 상시진동 에너지장과 무관한 오차항을 포함하는 SPAC 계수들을 배열을 가로지르는 파의 방향에 한해 해석적으로 유도해 내고 수치적으로 이들 오차항들에 대해서 평가하였다. 주요 평가 결과들은: 1) 만약 SPAC 계수들이, 계수가 첫번째 최소값을 갖는 주파수까지 이용되면 다른 4-, 5-, 9-측점 배열들에 비교했을 때 3-측점 원형배열이 상시진동의 관측에 효율적이고 유리하다. 2) 나이퀴스트 파수가 유효한 SPAC 계수가 평가될 수 있는 주파수의 상한선을 결정하는데 가장 영향을 끼치는 요소이다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권1호
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• pp.43-57
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• 2012

By simply splitting the hypergeometric Saran function $F_E$ into eight parts, we show how some useful and generalized relations between $F_E$ and Srivas- tava's hypergeometric function $F^{(3)}$ can be obtained. These main results are shown to be specialized to yield certain relations between functions $_0F_1$, $_1F_1$, $_0F_3$, ${\Psi}_2$, and their products including different combinations with different values of parameters and signs of variables.

• 설비공학논문집
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• 제6권4호
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• pp.344-353
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• 1994

This study numerically analyzed the dynamic characteristics of the frequency response on the pneumatic transmission line with load impedances. The pressure transfer function is represented by the distributed parameter line model. To validate the mathematical approximations of Bessel function ratios, the results of frequency response in a blocked line were compared with those obtained by the Infinite-product, Brown's and Square-root approximations. Special emphasis was given to the frequency response characteristics on the pneumatic transmission line with load impedances. Computations were carried out for the wide range of parameters in terms of load capacitance ratio and load resistance ratio. The present results indicated that the theoretical model is capable of accurately predicting the frequency response characteristics for any configuration of a fluid transmission line.

• 대한수학회논문집
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• 제33권4호
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• pp.1285-1301
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• 2018

This paper is devoted to the study of $Tur{\acute{a}}n$-type inequalities for some well-known special functions such as Gauss hypergeometric functions, generalized complete elliptic integrals and confluent hypergeometric functions which are derived by using a new form of the Cauchy-Bunyakovsky-Schwarz inequality. We also apply these inequalities for some sample of interest such as incomplete beta function, incomplete gamma function, elliptic integrals and modified Bessel functions to obtain their corresponding $Tur{\acute{a}}n$-type inequalities.

• Structural Engineering and Mechanics
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• 제54권4호
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• pp.623-648
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• 2015

A numerical approach is presented for the analysis of the forced vibration of a rigid surface foundation with arbitrary shape. In the analysis, the foundation is discretized into a number of sub squaree-lements. The dynamic response within each sub-element is described by the Green's function, which is obtained by the Fourier-Bessel transform and Precise Integration Method (PIM). Incorporating the displacement boundary condition and force equilibrium of the foundation, it obtains a system of linear algebraic equation in terms of the contact forces within each sub-element. Solving the equation leads to the desired dynamic impedance functions of the foundation. Numerical results are obtained for foundation not only with simple geometrical configurations, such as rectangular and circular foundation, but also the case of irregularly shaped foundation. Several comparisons between the proposed approach and other methods are made. Very good agreement is reached. Also, parametric studies are carried out on the dynamic response of foundation. Addressed in this study are the effects of Poisson's ratio, material damping and contact condition of soil-foundation interface. Several conclusions are drawn the significance of the factors.

• 대한기계학회논문집
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• 제16권8호
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• pp.1451-1457
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• 1992

본 연구에서는 작업롤의 온도분포를 정상 상태에서 롤의 길이 방향만을 고려 한 경우에 대하여 구한 다음 Fouries 급수로 전개하여 이 온도분포에 따른 작업롤의 축대칭 3차원 열-탄성문제를 해석함으로서 롤의 크라운 양과 열응력을 구하여 이 결과 를 유한요소법에 의한 결과와 비교 검토 하였다.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 2003년도 춘계 학술발표회논문집
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• pp.232-237
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• 2003

A new displacement-based transmitting boundary is developed for the transient analysis of dynamics interactions between flexible dam body and reservoir impounding compressible water The mechanical model is derived analytically in time domain from the kernel function, Bessel function, appearing in the convolution integral and corresponding mechanical model is developed that consists of mass, damping and stiffness matrices. The resulting system of, equations uses displacement degrees of freedom. Hence it can be coupled directly with the displacement-based solid finite element model of dam body, linear of nonlinear. The method was applied to the rigid and flexible dam models. The results showed very good agreement : with the semi-analytic frequency domain solutions.