• Journal of Power Electronics
• /
• 제10권6호
• /
• pp.680-685
• /
• 2010

Although LLC resonant converters have the advantages of a wide operation range and high efficiency, the lack of an analytical solution for the peak gain makes it difficult to optimize the resonant tank design, when considering not only the normal condition but also the holdup time requirement. In this paper, based on a mathematical analysis of a LLC resonant converter at the peak gain point, an analytical solution for the peak gain has been developed. By using the developed analytical solution, the peak gain with given resonant tank parameters can be obtained. To confirm the validity of the developed analytical solution, simulations and experimental results are compared.

• 한국수자원학회:학술대회논문집
• /
• 한국수자원학회 2009년도 학술발표회 초록집
• /
• pp.905-908
• /
• 2009

In the management of groundwater in coastal areas, saltwater intrusion associated with extensive groundwater pumping, is an important problem. The groundwater optimization model is an advanced method to study the aquifer and decide the optimal pumping rates or optimal well locations. Cheng and Park gave the analytical solutions to the optimization problems basing on Strack's analytical solution. However, the analytical solutions have some limitations of the property of aquifer, boundary conditions, and so on. A simulation-optimization numerical method presented in this study can deal with non-homogenous aquifers and various complex boundary conditions. This simulation-optimization model includes the sharp interface solution which solves the same governing equation with Strack's analytical solution, therefore, the freshwater head and saltwater thickness should be in the same conditions, that can lead to the comparable results in optimal pumping rates and optimal well locations for both of the solutions. It is noticed that the analytical solutions can only be applied on the infinite domain aquifer, while it is impossible to get a numerical model with infinite domain. To compare the numerical model with the analytical solutions, calculation of the equivalent boundary flux was planted into the numerical model so that the numerical model can have the same conditions in steady state with analytical solutions.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2000년도 추계학술대회논문집A
• /
• pp.458-463
• /
• 2000

The mechanical structures generally have discontinuous parts such as the cracks, notches and holes owing to various reasons. In this paper, in order to analyze effectively these singularity problems using the finite element method, a mixed analysis method which an analytical solution and finite element solutions are simultaneously used is newly proposed. As the analytical solution is used in the singularity region and the finite element solutions are used in the remaining regions except this singular zone, this analysis method reasonably provides for the numerical solution of a singularity problem. Through various numerical examples, it is shown that the proposed analysis method is very convenient and gives comparatively accurate solution.

• Geomechanics and Engineering
• /
• 제28권3호
• /
• pp.225-237
• /
• 2022

Settlement evaluation is important for shallow tunnels in big cities to estimate the settlement that occurs due to the excavation of twin tunnels. The majority of earlier research on analytical solutions, on the other hand, concentrated on calculating the settlement for a single tunnel. This research introduces a procedure to evaluate the settlement induced by the excavation of twin tunnels (two parallel tunnels). In this study, a series of numerical analysis were performed to validate the analytical solution results. Two geological conditions were considered to derive the settlement depending on each case. The analytical and numerical methods were compared, which involved considering many sections and conducting a parametric study; the results have good agreement. Moreover, a comparison of the 3D flat model and 2D (FEM) with the analytical solution shows that in the fill soil, the maximum settlement values were obtained by the analytical solution. In contrast, the values obtained by the analytical solution in the rock is more conservative than those in the fill. Finally, this method was shown to be appropriate for twin tunnels dug side by side by utilizing finite element analysis 3D and 2D (PLAXIS 3D and PLAXIS 2D) to verify the analytical equations. Eventually, it will be possible to use this approach to predict settlement troughs over twin tunnels.

• 한국지하수토양환경학회:학술대회논문집
• /
• 한국지하수토양환경학회 2001년도 추계학술발표회
• /
• pp.79-82
• /
• 2001

Analytical solutions have been derived to delineate the capture zone created by pumping wells for the remediation design of contaminated groundwater. These previous analytical solutions are often restricted to pumping wells only, specific well locations, a limited number of wells, and an isotropic aquifer. Analytical solution was developed to deal with arbitrarily located multi injection-pumping wells in an anisotropic homogeneous aquifer. The solution presented in this study provides a simple, easy method for determining tile complex flow field caused by multi injection-pumping wells at different rates, and will consequently be useful in pump-and-treat design.

• 한국방재학회 논문집
• /
• 제11권3호
• /
• pp.111-116
• /
• 2011

본 연구에서는 횡방향 하중을 받는 말뚝의 해석 해를 유도하고 그로부터 말뚝의 거동분석과 더불어 긴 말뚝으로의 거동기준이 되는 임계 말뚝길이(critical pile length)를 지반조건을 달리하여 구하고 비교 분석하였다. 또한 해석 해에 의한 말뚝의 거동과 p-y곡선을 적용한 수치해석을 통해 말뚝의 거동을 비교분석하였다. 해석 해에 따르면 밀도를 달리한 지반조건에 대해 무차원 임계 말뚝길이는 해석에서 고려한 세 가지 말뚝머리 경계조건에 있어 2.3~3.2 사이였다. 해석 해에 의한 결과와 수치해석에 의한 결과를 비교하면 말뚝길이에 따른 말뚝의 변형과 모멘트 분포양상은 유사하였다. 말뚝머리 변형량은 해석에 의한 경우가 수치해석에 의한 경우보다 보수적인 값을 보여주었으며 휨모멘트의 값은 해석에 의한 값과 수치해석에 의한 값 사이에 큰 차이를 보이지 않았다.

• 한국해안해양공학회지
• /
• 제19권3호
• /
• pp.228-236
• /
• 2007

비대칭 트렌치 지형 위를 통과하는 장파의 해석 해를 유도하였다. 트렌치 내부의 수심은 트렌치 중심으로부터 거리의 멱에 비례하여 감소한다. 장파의 가정을 사용하여 지배 방정식인 완경사 방정식을 변수 계수를 갖는 이차 상미분 방정식으로 변환하였으며 멱급수를 이용하여 해석 해를 구하였다. 수치 모델과의 비교를 통하여 해석 해의 타당성을 확인하였다. 다양한 조건에서 해석 해를 계산하여 그 결과를 분석하였다.

• Geomechanics and Engineering
• /
• 제13권6호
• /
• pp.1027-1044
• /
• 2017

Membrane penetration is the most important factor influencing the measurement of volume change for triaxial consolidated-drained shear test for coarse-grained soil. The effective pressure p, average particle size $d_{50}$, thickness $t_m$ and elastic modulus $E_m$ of membrane, contact area between membrane and soil $A_m$ as well as the initial void ratio e are the major factors influencing membrane penetration. According to the membrane deformation model given by Kramer and Sivaneswaran, an analytical solution of the membrane penetration considering the initial void ratio is deduced using the energy conservation law. The basic equations from theory of plates and shells and the elastic mechanics are employed during the derivation. To verify the presented solution, isotropic consolidation tests of a coarse-grained soil are performed by using the method of embedding different diameter of iron rods in the triaxial samples, and volume changes due to membrane penetration are obtained. The predictions from presented solution and previous analytical solutions are compared with the test results. It is found that the prediction from presented analytical solution agrees well with the test results.

• 한국지반공학회지:지반
• /
• 제13권2호
• /
• pp.169-184
• /
• 1997

Drucker-Prayer의 항복기준을 이용한 원형터널의 해석을 위하여 간략한 수치해석 기법이 유도되었다. 유도된 이론해를 근거로 컴퓨터 프로그램 FDAXP가 개발되었구 예제 해석을 통하여 프로그램의 신뢰도를 검증하여 만족한 결과를 얻었다. 소개된 프로그램 FDAXP는 깊은 터널과 쉽게 소성변형이 발생되는 지반 및 암반에서의 초기 터널해석에 손쉽게 적용될 수 있으며, 기존의 상용 프로그램들에서 Drunker-Prayer model을 검증하는데에 매우 유용하게 사용되리라 사료된다.

• Structural Engineering and Mechanics
• /
• 제38권5호
• /
• pp.549-571
• /
• 2011

This paper presents analytical solutions for skewed thick plates under transverse loading that have previously been unreported in the literature. The thick plate solution is obtained in a framework of an oblique coordinate system. The governing equation is first derived in the oblique coordinate system, and the solution is obtained using deflection and rotation as partial derivatives of a potential function developed in this research. The solution technique is applied to three illustrative application examples, and the results are compared with numerical solutions in the literature and those derived from the commercial finite element analysis package ANSYS 11. These results are in excellent agreement. The present solution may also be used to model skewed structures such as skewed bridges, to facilitate efficient routine design or evaluation analyses, and to form special elements for finite element analysis. At the same time, the analytical solution developed in this research could be used to develop methods to address post-buckling and dynamic problems.