• Title, Summary, Keyword: improved integration method

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Improved formulation for a structure-dependent integration method

  • Chang, Shuenn-Yih;Wu, Tsui-Huang;Tran, Ngoc-Cuong
    • Structural Engineering and Mechanics
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    • v.60 no.1
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    • pp.149-162
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    • 2016
  • Structure-dependent integration methods seem promising for structural dynamics applications since they can integrate unconditional stability and explicit formulation together, which can enable the integration methods to save many computational efforts when compared to an implicit method. A newly developed structure-dependent integration method can inherit such numerical properties. However, an unusual overshooting behavior might be experienced as it is used to compute a forced vibration response. The root cause of this inaccuracy is thoroughly explored herein. In addition, a scheme is proposed to modify this family method to overcome this unusual overshooting behavior. In fact, two improved formulations are proposed by adjusting the difference equations. As a result, it is verified that the two improved formulations of the integration methods can effectively overcome the difficulty arising from the inaccurate integration of the steady-state response of a high frequency mode.

A Petrov-Galerkin Natural Element Method Securing the Numerical Integration Accuracy

  • Cho Jin-Rae;Lee Hong-Woo
    • Journal of Mechanical Science and Technology
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    • v.20 no.1
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    • pp.94-109
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    • 2006
  • An improved meshfree method called the Petrov-Galerkin natural element (PG-NE) method is introduced in order to secure the numerical integration accuracy. As in the Bubnov-Galerkin natural element (BG-NE) method, we use Laplace interpolation function for the trial basis function and Delaunay triangles to define a regular integration background mesh. But, unlike the BG-NE method, the test basis function is differently chosen, based on the Petrov-Galerkin concept, such that its support coincides exactly with a regular integration region in background mesh. Illustrative numerical experiments verify that the present method successfully prevents the numerical accuracy deterioration stemming from the numerical integration error.

Real-time Fault Detection Method for an AGPS/INS Integration System

  • Oh, Sang-Heon;Yoon, Young-Seok;Hwang, Dong-Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • pp.974-977
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    • 2003
  • The GPS/INS integration system navigation can provide improved navigation performance and has been widely used as a main navigation system for military and commercial vehicles. When two navigation systems are tightly coupled and the structure is complicated, a fault in either the GPS or the INS can lead to a disastrous failure of the whole integration system. This paper proposes a real-time fault detection method for an AGPS/INS integration system. The proposed fault detection method comprises a BIT and a fault detection algorithm based on chi-square test. It is implemented by real-time software modules to apply the AGPS/INS integration system and van test is carried out to evaluate its performance.

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Efficient Meshfree Analysis Using Stabilized Conforming Nodal Integration for Metal Forming Simulation

  • Han, Kyu-Taek
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.7
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    • pp.943-950
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    • 2010
  • An efficient meshfree method based on a stabilized conforming nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in Galerkin meshfree methods when the weak form is integrated by a nodal integration. The gradient matrix associated with strain smoothing satisfies the integration constraint for linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for path-dependent problems are introduced. Applications of metal forming analysis are presented, from which the computational efficiency has been improved significantly without loss of accuracy.

Improving Dimension Reduction Method Using Kriging Interpolation (Kriging 보간법을 사용한 개선된 차원감소법)

  • Choi, Joo-Ho;Choi, Chang-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.135-140
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    • 2007
  • In this paper, an Improved Dimension Reduction(IDR) method is proposed for uncertainty quantification that employes Kriging interpolation technic. It has been acknowledged that the DR method is accurate and efficient for assessing statistical moments and reliability due to the sensitivity free feature. However, the DR method has a number of drawbacks such as instability and inaccuracy for problems with increased nonlineality. In this paper, improved DR is implanted by three steps. First, the Kriging interpolation method is used to accurately approximate the responses. Second, 2N+1 and 4N+1 ADOEs are proposed to maintain high accuracy of the method for UQ analysis. Third, numerical integration scheme is used with accurate but free response values at any set of integration points of the surrogated model.

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A Derivation of Operational Matrices via Improved Block Pulse Coefficients Estimation Method (개선된 블럭 펄스 계수 추정 기법을 이용한 적분 연산 행렬 유도)

  • Kim, Tai-Hoon;Shim, Jae-Sun;Lee, Hae-Ki
    • Proceedings of the KIEE Conference
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    • pp.2277-2279
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices by using the Lagrange second order interpolation polynomial and expands that matrix to general form.

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A New Block Pulse Operational Matrices Improved by The Second Order Lagrange Interpolation Polynomial (Lagrange 이차 보간 다항식을 이용한 새로운 일반형 블럭 펄스 적분 연산 행렬)

  • 심재선;김태훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.6
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    • pp.351-358
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients, deriving the Block Pulse integration operational matrices and generalizing the integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of state estimation or parameter identification more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and integral operational matrices. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices and generalized integration operational matrix by using the Lagrange second order interpolation polynomial.

Calculation of dynamic stress intensity factors and T-stress using an improved SBFEM

  • Tian, Xinran;Du, Chengbin;Dai, Shangqiu;Chen, Denghong
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.649-663
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    • 2018
  • The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.

Analysis of Soil-Structure Interaction Considering Complicated Soil Profile (복잡한 지층 형상을 고려한 지반-구조물 상호작용 해석)

  • Park, Jang-Ho
    • Journal of the Korean Society of Safety
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    • v.21 no.3
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    • pp.87-93
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    • 2006
  • When a structure is constructed at the site composed of soil, the behavior of a structure is much affected by the characteristics of soil. Therefore, the effect of soil-structure interaction is an important consideration in the design of a structure at the site composed of soil. Precise analysis of soil-structure interaction requires a proper description of soil profile. However, most of approaches are nearly unpractical for soil exhibiting material discontinuity and complex geometry since those cannot consider precisely complicated soil profiles. To overcome these difficulties, an improved integration method is adopted and enables to integrate easily over an element with material discontinuity. As a result the mesh can be generated rapidly and highly structured, leading to regular and precise stiffness matrix. The influence of soil profile on the response is examined by the presented method. It is seen that the presented method can be easily used on soil-structure interaction problems with complicated soil profile and produce reliable results regardless of material discontinuities.

Fast Structure Recovery and Integration using Improved Scaled Orthographic Factorization (개선된 직교분해기법을 사용한 빠른 구조 복원 및 융합)

  • Park, Jong-Seung;Yoon, Jong-Hyun
    • Journal of Korea Multimedia Society
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    • v.10 no.3
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    • pp.303-315
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    • 2007
  • This paper proposes a 3D structure recovery and registration method that uses four or more common points. For each frame of a given video, a partial structure is recovered using tracked points. The 3D coordinates, camera positions and camera directions are computed at once by our improved scaled orthographic factorization method. The partially recovered point sets are parts of a whole model. A registration of point sets makes the complete shape. The recovered subsets are integrated by transforming each coordinate system of the local point subset into a common basis coordinate system. The process of shape recovery and integration is performed uniformly and linearly without any nonlinear iterative process and without loss of accuracy. The execution time for the integration is significantly reduced relative to the conventional ICP method. Due to the fast recovery and registration framework, our shape recovery scheme is applicable to various interactive video applications. The processing time per frame is under 0.01 seconds in most cases and the integration error is under 0.1mm on average.

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