• 제목/요약/키워드: Approximate Equation

검색결과 487건 처리시간 0.029초

2축 편심 축력을 받는 고강도 RC 기둥의 비선형해석 (Nonlinear Analysis of High Strength RC Columns Subjected to Axial Load and Biaxial Bending)

  • 신성우;반병열;유석형;조문희;한경돈;이종원
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 가을 학술발표회 논문집
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    • pp.41-46
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    • 2001
  • The main objective of this study is to provide data on high strength concrete columns subjected to axial load and biaxial bending. For the design of biaxial bending, the approximate method (Bresler load contour method, PCA load contour method) is presented in ACI code. The present study investigate whether the methods are valid in high strength concrete and compare analysis results(by FEM method) with experimental results. Also, this study examines whether statics method and failure surface equation(by Hsu) are adequate.

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선형 격자 형성 방정식을 이용한 직교 격자 형성에 관한 연구 (Orthogonal Grid Generation Using Linear Grid Generating Equations)

  • 이상욱;권장혁;권오준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2000년도 춘계 학술대회논문집
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    • pp.99-106
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    • 2000
  • A method of two and three dimensional orthogonal grid generation with control of spacing by using the covariant Laplace equation is Presented. An important feature of the methodology is its ability to control effectively the grid spacing especially near the boundaries still maintaining good orthogonality in whole field. The method is based on the concept of decomposition of the global transformation into consecutive transformation of an approximate conformal mapping and au auxiliary orthogonal mapping to have linear and uncoupled equations. Control of cell spacing is based on the concept of reference arc length, and orthogonal correction is performed in the auxiliary domain. It is concluded that the methodology can successfully generate well controlled orthogonal grids around bodies of 2 and 3 dimensional configurations.

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원통면 음향 홀로그래피를 이용한 수중음향 곡면배열센서의 빔 해석 (Beam Analysis of Underwater Conformal Array by Using Cylindrical Acoustic Holography)

  • 권휴상;박성철;서희선;신구균;조치영
    • 한국소음진동공학회논문집
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    • 제19권10호
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    • pp.987-995
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    • 2009
  • As an experimental technique to analyze the far-field characteristics of underwater cylindrical array sensors, cylindrical acoustic holography is studied. Inside an laboratory water tank, far-field directivity patterns as well as near-field source images are reconstructed from the measured hologram by hydrophone array. Approximate equation for far-field directivity estimation is derived based on stationary phase method. The simulation and experiment show well usefulness of the proposed method in application of underwater array sensors.

SUPERCONVERGENCE OF FINITE ELEMENT METHODS FOR LINEAR QUASI-PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

  • Li, Qian;Shen, Wanfang;Jian, Jinfeng
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제8권2호
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    • pp.23-38
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    • 2004
  • We consider finite element methods applied to a class of quasi parabolic integro-differential equations in $R^d$. Global strong superconvergence, which only requires that partitions are quasi-uniform, is investigated for the error between the approximate solution and the Sobolev-Volterra projection of the exact solution. Two order superconvergence results are demonstrated in $W^{1,p}(\Omega)\;and\;L_p(\Omega)$, for $2\;{\leq}p\;<\;{\infty}$.

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Modified Tikhonov regularization in model updating for damage identification

  • Wang, J.;Yang, Q.S.
    • Structural Engineering and Mechanics
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    • 제44권5호
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    • pp.585-600
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    • 2012
  • This paper presents a Modified Tikhonov Regularization (MTR) method in model updating for damage identification with model errors and measurement noise influences consideration. The identification equation based on sensitivity approach from the dynamic responses is ill-conditioned and is usually solved with regularization method. When the structural system contains model errors and measurement noise, the identified results from Tikhonov Regularization (TR) method often diverge after several iterations. In the MTR method, new side conditions with limits on the identification of physical parameters allow for the presence of model errors and ensure the physical meanings of the identified parameters. Chebyshev polynomial is applied to approximate the acceleration response for moderation of measurement noise. The identified physical parameter can converge to a relative correct direction. A three-dimensional unsymmetrical frame structure with different scenarios is studied to illustrate the proposed method. Results revealed show that the proposed method has superior performance than TR Method when there are both model errors and measurement noise in the structure system.

A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION

  • Kang, Jie-Hyung;Lee, Chang-Ju;Lee, Yang-Hi
    • 대한수학회보
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    • 제41권3호
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    • pp.541-557
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    • 2004
  • In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder ${\varphi}$ is defined by (x * y) + (x * $y^{-1}$) - 2 (x) - 2 (y) =<${\varphi}$(x,y), (x*y*z)+ (x)+ (y)+ (z)- (x*y)- (y*z)- (z*x)=${\varphi}$(x, y, z), where (G,*) is a group, X is a real or complex Hausdorff topological vector space, and is a function from G into X.

MAX-MIN CONTROLLABILITY OF DELAY-DIFFERENTIAL GAMES IN HILBERT SPACES

  • Kang, Yong-Han;Jeong, Jin-Mun;Park, Jong-Yeoul
    • 대한수학회지
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    • 제38권1호
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    • pp.177-191
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    • 2001
  • We consider a linear differential game described by the delay-differential equation in a Hilbert space H; (※Equations, See Full-text) U and V are Hilbert spaces, and B(t) and C(t) are families of bounded operators on U and V to H, respectively. A(sub)0 generates an analytic semigroup T(t) = e(sup)tA(sub)0 in H. The control variables g, and u and v are supposed to be restricted in the norm bounded sets (※Equations, See Full-text). For given x(sup)0 ∈ H and a given time t > 0, we study $\xi$-approximate controllability to determine x($.$) for a given g and v($.$) such that the corresponding solution x(t) satisfies ∥x(t) - x(sup)0∥ $\leq$ $\xi$($\xi$ > 0 : a given error).

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유한요소법(FEM)을 이용한 Zero Power 제어 자기부상시스템의 동적시뮬레이션 (Dynamic Simulation of Zero Power Control Maglev System by Finite Element Method)

  • 이주영;김윤현;김솔;이주;이철직
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 B
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    • pp.647-649
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    • 2001
  • It is a indispensible condition that the simulation and the experiment to improve a efficiency of maglev system. We usually carry out the simulation using the approximate equation, because it is impossible to use a exact modeling such as a practice modeling. This paper proposed a ideal simulation ap to the maglev system modeling by Finite Ele Method. To save the electrical energy, zero p control method is used, and verifying the feasibi FEM dynamic simulation, we make an exper with a TI DSP TMS320F240-based hardware.

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원형관에서의 음해법을 이용한 차원 3차원 비압축성 부정류 흐름에 관한 수치모의 (Three Dimensional Incompressible Unsteady Flows in a Circular Tube Using the Navier-Stokes Equations With Beam and Warming Method)

  • 박기두;이길성;성진영
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2008년도 학술발표회 논문집
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    • pp.1624-1629
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    • 2008
  • The governing equations in generalized curvilinear coordinates for a 3D pulsatile flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. The computational technique implements the implicit approximate factorization method of the Beam and Warming method (1978), which is the extension of the Alternate Direction Implicit (ADI) method. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Rindt & Steenhoven, 1991).

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Nonlinear analysis of interaction between flexible pile group and soil

  • Liu, Jie;Li, Q.S.;Wu, Zhe
    • Structural Engineering and Mechanics
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    • 제20권5호
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    • pp.575-587
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    • 2005
  • Using the nonlinear load transfer function for pile side soil and the linear load transfer function for pile end soil, a combined approach of the incremental load transfer matrix method and the approximate differential equation solution method is presented for the nonlinear analysis of interaction between flexible pile group and soil. The proposed method provides an effective approach for the solution of the nonlinear interaction between flexible pile group under rigid platform and surrounding soil. To verify the accuracy of the proposed method, a static load test for a nine-pile group under a rigid platform is carried out. The finite element analysis is also conducted for comparison purposes. It is found that the results from the proposed method match very well with those from the experimental test and are better in comparison with the finite element method.