• 제목/요약/키워드: Semi-analytical method

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3차원 다층 반무한상 구조물의 동적 간섭에 관한 해석적 연구 (Three Dimensional Dynamic Interaction of Foundations on Layered Half-Space)

  • 조우연;이강원;임윤묵;김문겸
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2001
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    • pp.75-82
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    • 2001
  • A dynamic interaction analysis of an adjacent surface fecundation on a layered half-space is performed in the frequency domain. A semi-analytical approach is employed to reduce the integration range of the wavenumber in the surface fundamental solution for a layered half-space in boundary element (BE) formulations. The present study then adopts a combined boundary and finite element method to analyze the dynamic behavior of a system of flexible surface foundations on an elastic homogeneous and layered half-space. Numerical examples are presented to demonstrate the accuracy of the developed method. The examples show the feasibility of an extended application fur the complicated dynamic interaction of foundations on layered media.

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유한요소해석과 기하학적 모델링의 연동에 기초한 쉘 곡면의 형상 최적 설계 (Shape Optimization of Shell Surfaces Based on Linkage Framework betweenGeometric Modeling and Finite Element Analysis)

  • 김현철;노희열;조맹효
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1328-1333
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    • 2003
  • In the present study, an integrated framework of geometric modeling, analysis, and design optimization is proposed. Geometric modeling is based on B-spline surface representation. Geometrically-exact shell finite element is implemented in analysis module. Control points of the surface are selected as design variables for optimization, which can make the interaction easier between analysis and surface representation. Sequential linear programming(SLP) is adopted for the shape optimization of surfaces. For the computation of shape sensitivities, semi-analytical method is used. The developed integrated framework should serve as a powerful tool for the geometric modeling, analysis, and shape design of surfaces.

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직접선형변환을 이용한 3차원 좌표해석에 관한 연구 (A Study on the Three Dimensional Coordinates Analysis by Direct Linear Transformation)

  • 김감래;이호남
    • 한국측량학회지
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    • 제5권2호
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    • pp.47-55
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    • 1987
  • 본 연구에서는 내부표정요소와 외부표정 요소를 모두 미지수로 취급하는 직접선형변환의 기본식을 유도하여 비반복적으로 직접 후방교회를 실시할 수 있는 알고리즘을 개발 전산화 하였으며, 기존의 입체도화기와 Digitizer를 이용하여 상좌표를 측정하였다. 입체도화기와 Digitizer를 이용한 상좌표 측정 및 직접선형변환의 타당성을 입증하기 위하여 양해석법으로 자료추출을 실시하였으며, 절대좌표에 대한 표준오차를 분석하였다.

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다층 반무한 지반-구조물계의 입사파 응답해석 (3D Incident Wave Response of Structures on Layered Media)

  • Kim, Moon-Kyum;Cho, Woo-Yeon;Koh, Jae-Pil
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.317-324
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    • 1999
  • Dynamic interaction analysis of surface structure on layered half-space is performed in frequency domain under incident wave excitation. This present study adopts a coupling method that combines the finite element(FE) for the flexible structures and boundary element(BE) for the layered half-space. A semi-analytical approach is employed to reduce the integration range of wavenumbers in the BE formula. For the incident wave input, the response is decomposed and formulated after the impedance matrix for the structure system. Numerical examples are presented to demonstrate the accuracy of the method. The examples show the feasibility of an extended application to the complicated dynamic analysis of structures on layered media under incident wave excitation.

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거친 표면의 접촉피로 수명예측 (The Contact Fatigue Life Analysis of Rough Surfaces)

  • 추효준;이상돈;조용주
    • Tribology and Lubricants
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    • 제21권3호
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    • pp.136-141
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    • 2005
  • Analytical model to calculate the contact fatigue life of rough surface is presented in this paper. The effect of surface roughness can be calculated by this model. Computational method and the theoretical basis are also discussed. Contact stresses are obtained by contact analysis of a semi-infinite solid based on the use of influence functions; the subsurface stress field is obtained using rectangular patch solutions. Mesoscopic multiaxial fatigue criterion which can yield satisfactory results for non-proportional loading is then applied to predict fatigue damage. Suitable counting method and damage rule were used to calculate the fatigue life of random loading caused by rough surface. As a result of analysis the relationship between the life and the roughness as well as the most probable depth of the crack initiation is calculated.

Semi-analytical solution for buckling of SMA thin plates with linearly distributed loads

  • Parizi, Fatemeh Salemizadeh;Mohammadi, Meisam
    • Structural Engineering and Mechanics
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    • 제70권6호
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    • pp.661-669
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    • 2019
  • Buckling analysis of shape memory alloy (SMA) rectangular plates subjected to uniform and linearly distributed inplane loads is the main objective in the present paper. Brinson's model is developed to express the constitutive characteristics of SMA plate. Using the classical plate theory and variational approach, stability equations are derived. In addition to external inplane mechanical loads, the plate is subjected to the pre-stresses caused by the recovery stresses that are generated during martensitic phase transformation. Ritz method is used for solving the governing stability equations. Finally, the effects of conditions on the edges, thickness, aspect ratio, temperature and pre-strains on the critical buckling loads of SMA plate are investigated in details.

Combined effects of end-shortening strain, lateral pressure load and initial imperfection on ultimate strength of laminates: nonlinear plate theory

  • Ghannadpour, S.A.M.;Barvaj, A. Kurkaani
    • Steel and Composite Structures
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    • 제33권2호
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    • pp.245-259
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    • 2019
  • The present study aims to investigate the ultimate strength and geometric nonlinear behavior of composite plates containing initial imperfection subjected to combined end-shortening strain and lateral pressure loading by using a semi-analytical method. In this study, the first order shear deformation plate theory is considered with the assumption of large deflections. Regarding in-plane boundary conditions, two adjacent edges of the laminates are completely held while the two others can move straightly. The formulations are based on the concept of the principle of minimum potential energy and Newton-Raphson technique is employed to solve the nonlinear set of algebraic equations. In addition, Hashin failure criteria are selected to predict the failures. Further, two distinct models are assumed to reduce the mechanical properties of the failure location, complete ply degradation model, and ply region degradation model. Degrading the material properties is assumed to be instantaneous. Finally, laminates having a wide range of thicknesses and initial geometric imperfections with different intensities of pressure load are analyzed and discuss how the ultimate strength of the plates changes.

Buckling analysis of thin-walled circular hollow section members with and without longitudinal stiffeners

  • Cuong, Bui H.
    • Structural Engineering and Mechanics
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    • 제81권2호
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    • pp.231-242
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    • 2022
  • Numerical solutions for the linear buckling behavior of thin-walled circular hollow section members (CHS) with and without longitudinal stiffeners are presented using the semi-analytical finite strip method (SAFSM) which is developed based on Marguerre's shallow shell theory and Kirchhoff's assumption. The formulation of 3-nodal line finite strip is presented. The CHS members subjected to uniform axial compression, uniform bending, and combination of compression and bending. The buckling behavior of CHS is investigated through buckling curves which relate buckling stresses to lengths of the member. Effects of longitudinal stiffeners are studied with the change of its dimensions, position, and number.

고립파와 파도패킷의 상호작용 (On the Interaction of a Solitary Wave and a Wave-Packet)

  • 김종언;장택수
    • 대한조선학회논문집
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    • 제60권5호
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    • pp.341-350
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    • 2023
  • In this paper, numerical experiments are performed to examine the collision between a solitary wave and a wave-packet (dispersive wave) in shallow water. We attempt to introduce the improved Boussinesq equation governing the experiments, which is solved by using a semi-analytical approach, called Pseudo-parameter Iteration method(PIM). Using various numerical experiments, we have observed that the wave-packet (propagating dispersive wave) experiences a phase shift after collision with a solitary wave. This phenomenon may be considered as a nonlinear wave-wave interaction in shallow water.

THE DYNAMICS OF EUROPEAN-STYLE OPTION PRICING IN THE FINANCIAL MARKET UTILIZING THE BLACK-SCHOLES MODEL WITH TWO ASSETS, SUPPORTED BY VARIATIONAL ITERATION TECHNIQUE

  • FAROOQ AHMED SHAH;TAYYAB ZAMIR;EHSAN UL HAQ;IQRA ABID
    • Journal of Applied and Pure Mathematics
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    • 제6권3_4호
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    • pp.141-154
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    • 2024
  • This article offers a thorough exploration of a modified Black-Scholes model featuring two assets. The determination of option prices is accomplished through the Black-Scholes partial differential equation, leveraging the variational iteration method. This approach represents a semi-analytical technique that incorporates the use of Lagrange multipliers. The Lagrange multiplier emerges as a beacon of efficiency, adeptly streamlining the computational intricacies, and elevating the model's efficacy to unprecedented heights. For better understanding of the presented system, a graphical and tabular interpretation is presented with the help of Maple software.