• Title/Summary/Keyword: Method of Moments

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Analysis of Post-tensioned Bridge by Specially Orthotropic Laminate Theory (I) - Reinforced Concrete Slab Bridge (특별직교이방성 이론에 의한 포스트 텐션된 교량의 해석(I) - 철근 콘크리트 슬래브교 -)

  • 김덕현;원치문;이정호
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.135-140
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    • 2001
  • A post-tensioned reinforced concrete slab bridge is analyzed by specially orthotropic laminate theory. Symmetrically reinforced slab with tension and compression steel is considered for convenience of analysis. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of the rule of mixture. This bridge is under uniformly distributed vertical loads, and axial loads and end moments due to post-tensioning. In this paper, finite difference method is used for numerical analysis of this bridge. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used for design of new bridges, and maintenance and repair of old bridges.

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Buckling Loads and Postbuckling Behavior of Tapered Piles by Third Order Theory (3차이론에 의한 변단면 강말뚝의 좌굴하중및 후좌굴 거동)

  • 이병구;정진섭;이문수;박승해
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.2
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    • pp.56-66
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    • 1994
  • Numerical methods are developed to obtain the buckling loads and to analyze the postbuckling behavior of the tapered steel piles. The nondimensional differential equations governing the elastica of the buckled piles are derived by the third order theory and solved numerically. The Runge-Kutta method is used to solve the differential equations, and the bisection method is used to obtain the buckling loads and the reaction moments of the clamped ends. Both the linear and stepped taper of the steel piles are considered as the variable crosssection in the differential equations. As the numerical results, the equilibrium paths, the buckling loads vs. section ratio curves and the typical elastica and the bending moment diagrams of the buckled piles are presented in figures. Experimental studies that complement the theoretical results are presented. It is expected that the numerical methods developed in this study for calculating the buckling loads and analyzing the postbuckling behavior of the steel piles are used in the structural and foundation engineering.

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On the Springing Response of Ships with Shallow Draft and Large Breadth (천홀수 광폭선의 스프링잉 응답 해석)

  • 정종진;박인규
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.2
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    • pp.55-60
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    • 2004
  • This paper describes the estimation method of hull girder response of ships due to springing. To this aim, nonlinear springing effect on the hull girder is evaluated including vertical, horizontal, and torsional deformation of the hull. The Timoshenko beam model is used to calculate the stress distribution on the hull girder. The quadratic strip method is employed to calculate the hydrodynamic forces and moments on the hull. In order to remove the irregular frequencies, 'rigid lid'is adopted on the hull free surface level and hydrodynamic coefficients are interpolated for asymptotic values. The results of example calculation show a reasonable agreement with previous results for both symmetric and anti-symmetric responses.

Statistical Analysis of Random Ship Rolling Using Equivalent Linearization Method (등가선형화방법을 이용한 선체의 불규칙 횡동요 운동의 통계적 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.39-45
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    • 1993
  • In order to analyze the rolling motion of a ship in random beam waves we have used the equivalent linearization method. The quadratic nonlinear damping, the cubic and quintic nonlinear restoring moments were added to a single degree of freedom linear equation of roll motion. The irregular excitation moment was assumed to be the Gaussian white noise. The statistical characteristic of the response by the equivalent linearization method was compared with the simulation result.

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Effects of Stagger and Pretwist Angles on the Vibration of Flexible Shaft-Bladed Disk Systems (탄성 축-익 붙임 원판 계의 진동에 있어서 엇각 및 비틀림각의 영향)

  • 전상복;이종원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.101-109
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    • 1997
  • An analytical procedure on the base of the substructure synthesis and assumed modes method is developed to investigate the flexibility effect of bladed disk assembly on vibrational modes of flexible rotor system. In modeling the system, Coriolis forces, gyroscopic moments, and centrifugal stiffening effects are taken into account. The coupled vibrations between the shaft and bladed disk are then extensively investigated through the numerical simulation of simplified models, with varying the shaft rotational speed and the pretwist and stagger angles of the blade. It is found that the Coriolis and inertia forces and the inertia torque, which are induced by the one nodal diameter modes of the bladed disk and vary depending upon the stagger and pretwist angles, lead to the coupled motions of the shaft and the bladed disk.

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A matrix displacement formulation for minimum weight design of frames

  • Orakdogen, Engin
    • Structural Engineering and Mechanics
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    • v.14 no.4
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    • pp.473-489
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    • 2002
  • A static linear programming formulation for minimum weight design of frames that is based on a matrix displacement method is presented in this paper. According to elementary theory of plasticity, minimum weight design of frames can be carried out by using only the equilibrium equations, because the system is statically determinate when at an incipient collapse state. In the present formulation, a statically determinate released frame is defined by introducing hinges into the real frame and the bending moments in yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, by utilizing the matrix displacement method. Conventional Simplex algorithm with some modifications is utilized for the solution of linear programming problem. As the formulation is based on matrix displacement method, it may be easily adopted to the weight optimization of frames with displacement and deformation limitations. Four illustrative examples are also given for comparing the results to those obtained in previous studies.

Comparative Study on the Stress Concentration Around a Hole in Plates by the Photoelastic Experiments and by the Fimita Elements Method (판개구부은력집중에 관한 광탄성 실험 및 유한요소해의 비교)

  • ;Son, Seung Yo
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.1 no.4
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    • pp.190-195
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    • 1977
  • A descriptive demonstration of the principles in the utilization of the two dimensional photoelasticimeter "TYPE ROBERT" is presented. This apparatus permits pointwise measures of the photoelastic chatacteristics in the bireferengerent materials. Two plate models are used to analyse the stress concentration effects around the hole, one in the state of plane stress, the other under the condition of distributed edge moments. For the latter case, stress freeze technique is adapted. Several slices are cut form the stress frozen model and photoelastically analysed. These same models are also analyzed by use of the finite element method. The photoelastic results show very good accordance with analytic solutions, while the finite element method looks less efficient for the particular problems treated.s treated.

Self-localization of Mobile Robots by the Detection and Recognition of Landmarks (인공표식과 자연표식을 결합한 강인한 자기위치추정)

  • 권인소;장기정;김성호;이왕헌
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.306-311
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    • 2003
  • This paper presents a novel localization paradigm for mobile robots based on artificial and natural landmarks. A model-based object recognition method detects natural landmarks and conducts the global and topological localization. In addition, a metric localization method using artificial landmarks is fused to complement the deficiency of topology map and guide to action behavior. The recognition algorithm uses a modified local Zernike moments and a probabilistic voting method for the robust detection of objects in cluttered indoor environments. An artificial landmark is designed to have a three-dimensional multi-colored structure and the projection distortion of the structure encodes the distance and viewing direction of the robot. We demonstrate the feasibility of the proposed system through real world experiments using a mobile robot, KASIRI-III.

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Model Order Reduction Using Moment-Matching Method Based on Krylov Subspace and Its Application to FRF Calculation for Array-Type MEMS Resonators (Krylov 부공간에 근거한 모멘트일치법을 이용한 모델차수축소법 및 배열형 MEMS 공진기 주파수응답함수 계산에의 응용)

  • Han, Jeong-Sam;Ko, Jin-Hwan
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.436-441
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    • 2008
  • One of important factors in designing array-type MEMS resonators is obtaining a desired frequency response function (FRF) within a specific range. In this paper Krylov subspace-based model order reduction using moment-matching with non-zero expansion points is represented to calculate the FRF of array-type resonators. By matching moments at a frequency around a specific range of the array-type resonators, required FRFs can be efficiently calculated with significantly reduced systems regardless of their operating frequencies. In addition, because of the characteristics of moment-matching method, a minimal order of reduced system with a specified accuracy can be determined through an error indicator using successive reduced models, which is very useful to automate the order reduction process and FRF calculation for structural optimization iterations.

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Application of matrix methods to scattering by conducting bodies (매트릭스 법에 의한 완전 도체의 산란 특성)

  • Kim, Chul-Hoo;Kim, Che-Young;Yu, Sang-Dae
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.335-338
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    • 1988
  • A numerical method is presented for the scattering by the perfectly conducting cylinder with arbitrary cross sections. The relevant integral equation considered by the E-field formulation is solved by method of moments, and thereby the surface current induced as well as the radar cross section of the scatterer are numerically computed to specify the scattering nature of the scatterer. Two separate methods, one with point matching and the other Galerkin's method, are considered to make cross checks to the results obtained. Taking two half pulses suggested to expand the surface current shows savings in computation time and accurate solutions for the corners on the scatterer.

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