• Title/Summary/Keyword: nonlinear numerical analysis

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A Progressive Failure Analysis Procedure for Composite Laminates II - Nonlinear Predictive Finite Element Analysis (복합재료 거동특성의 파괴해석 II - 비선형 유한요소해석)

  • Yi, Gyu-Sei
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.5 no.4
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    • pp.11-17
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    • 2014
  • A progressive failure analysis procedure for composite laminates is completed in here. An anisotropic plastic constitutive model for fiber-reinforced composite material is implemented into computer program for a predictive analysis procedure of composite laminates. Also, in order to describe material behavior beyond the initial yield, the anisotropic work-hardening model and subsequent yield surface are implemented into a computer code, which is Predictive Analysis for Composite Structures (PACS). The accuracy and efficiency of the anisotropic plastic constitutive model and the computer program PACS are verified by solving a number of various fiber-reinforced composite laminates with and without geometric discontinuity. The comparisons of the numerical results to the experimental and other numerical results available in the literature indicate the validity and efficiency of the developed model.

Nonlinear effects on motions and loads using an iterative time-frequency solver

  • Bruzzone, Dario;Gironi, C.;Grasso, A.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.3 no.1
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    • pp.20-26
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    • 2011
  • A weakly nonlinear seakeeping methodology for predicting motions and loads is presented in this paper. This methodology assumes linear radiation and diffraction forces, calculated in the frequency domain, and fully nonlinear Froude-Krylov and hydrostatic forces, evaluated in the time domain. The particular approach employed here allows to overcome numerical problems connected to the determination of the impulse response functions. The procedure is divided into three consecutive steps: evaluation of dynamic sinkage and trim in calm water that can significantly influence the final results, a linear seakeeping analysis in the frequency domain and a weakly nonlinear simulation. The first two steps are performed employing a three-dimensional Rankine panel method. Nonlinear Froude-Krylov and hydrostatic forces are computed in the time domain by pressure integration on the actual wetted surface at each time step. Although nonlinear forces are evaluated into the time domain, the equations of motion are solved in the frequency domain iteratively passing from the frequency to the time domain until convergence. The containership S175 is employed as a test case for evaluating the capability of this methodology to correctly predict the nonlinear behavior related to wave induced motions and loads in head seas; numerical results are compared with experimental data provided in literature.

Geometrically Nonlinear Analysis using Petrov-Galerkin Natural Element Method Natural Element Method (페트로프-갤러킨 자연요소법에 의한 기하하적 비선형 해석)

  • 이홍우;조진래
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.333-340
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    • 2004
  • This paper deals with geometric nonlinear analyses using a new meshfree technique which improves the numerical integration accuracy. The new method called the Petrov-Galerkin natural element method (PGNEM) is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used for conventional natural element method called the Bubnov-Galerkin natural element method (BGNEM). But, unlike BGNEM, the test shape function is differently chosen from the trial shape function. In the linear static analysis, it is ensured that the numerical integration error of the PGNEM is remarkably reduced. In this paper, the PGNEM is applied to large deformation problems, and the accuracy of the proposed numerical technique is verified through the several examples.

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A numerical procedure for reinforced concrete columns with a focus on stability analysis

  • Pires, Susana L.;Silva, Maria Cecilia A.T.
    • Computers and Concrete
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    • v.14 no.6
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    • pp.657-674
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    • 2014
  • The purpose of this paper is to present a numerical procedure to analyse reinforced concrete columns subjected to combined axial loads and bending that rigorously considers nonlinear material and nonlinear geometric characteristics. Column design and stability analysis are simultaneously regarded. A finite element method is used for calculating displacements and the material and geometric nonlinearities are taken into account using an iterative process. A computer program is developed from the proposed numerical procedure, and the efficiency of the program is verified against available experimental data. The model applies to constant rectangular cross sectional columns with symmetric reinforcement distribution.

Nonlinear Seismic Analysis for Performance Assessment of Hollow RC Bridge Columns with Reinforcement Details for Material Quantity Reduction (물량저감 중공 철근콘크리트 교각의 성능평가를 위한 비선형 지진해석)

  • Kim, Tae Hoon;Lee, Seung Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.18 no.5
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    • pp.221-230
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    • 2014
  • The purpose of this study is to investigate the seismic performance of hollow RC bridge columns with reinforcement details for material quantity reduction. The proposed reinforcement details provide economy, are rational and shorthen the construction periods. The accuracy and objectivity of the assessment process can be enhanced by using a sophisticated nonlinear finite element analysis program. Solution of the equations of motion is obtained by numerical integration using Hilber-Hughes-Taylor (HHT) algorithm. The adopted numerical method gives a realistic prediction of seismic performance throughout the input ground motions for several test specimens investigated. As a result, the proposed reinforcement details for material quantity reduction develop equal performance to that required for existing reinforcement details.

Simulation of Elastohydrodynamic Phenomena of Thin Foil in Magnetic Recording Device (자기기록장치에서의 박막탄성체의 탄성유체윤활현상에 관한 수치해석)

  • 권해성;민옥기;김수경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1355-1364
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    • 1994
  • This paper analyzes the running mechanism of flexible and thin foil above rotating protrusion through a numerical simulation. The scope of analysis is confined to the phenomena of elastohy-drodynamic lubrication between the stationary and rotary drums with a running protrusion and thin foil. This mathematical model is based on the modified Reynolds equation and the equation of plate, considering the geometry of protrusion, running direction of protrusion, and the effect of geometric nonlinearity. Finite element method is adopted as a numerical simulation technique to solve the avobe coupled nonlinear equations. In numerical analysis, the effects of the scanning angle in Reynolds equation and the nonlinear term in plate equation are evaluated. Furthermore, the simulation is applied to the situation that thin foil is located in the entire drums (stationary and rotary drums).

Dynamic Analysis of Effect of Number of Balls on Rotor-Bearing System

  • Hwang, Pyung;Nguyen, Van Trang
    • Tribology and Lubricants
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    • v.29 no.4
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    • pp.248-254
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    • 2013
  • This paper presents a numerical model for investigating the structural dynamic response of an unbalanced rotor system supported on deep groove ball bearings. The aim of this work is to develop a numerical model for investigating the effect of the number of balls on the dynamic characteristics of the rotor ball bearing system. The fourth-order Runge-Kutta numerical integration technique has been applied. The results are presented in the form of time displacement responses and frequency spectra. The analysis demonstrates that the model can be used as a tool for predicting the nonlinear dynamic behavior of the rotor ball bearing system under different operating conditions. Moreover, the study may contribute to a further understanding of the nonlinear dynamics of rotor bearing systems.

Ductility of open piled wharves under reversed cyclic loads

  • Yokota, Hiroshi;El-Bakry, Hazem M.F.
    • Structural Engineering and Mechanics
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    • v.12 no.6
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    • pp.615-632
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    • 2001
  • Ductility of open piled wharves under reversed cyclic loads has been investigated. Experimental testing of five wharf models having a scale of about 1:4 was conducted under the application of horizontal reversed cyclic loading. The experiments were designed to focus on the horizontal ultimate load, ductility and failure mode of the considered wharf models. Nonlinear numerical analyses using the finite element method were also performed on numerical models representing the experimentally tested wharves. The results of the experimental tests showed that open piled wharves possessed favourable ductile behaviour and that their load bearing capacity did not depreciate until a ductility factor of 3 to 4 was reached. The numerical analysis showed that the relative rotation that took place at the joints between the steel piles and the R.C. beam was responsible for a considerable portion of the total horizontal deformation of the wharves. Therefore, it was concluded that introducing the joint stiffness in calculating the deformations of open piled wharves was important to achieve reasonable accuracy.

A variable layering system for nonlinear analysis of reinforced concrete plane frames

  • Shuraim, Ahmed B.
    • Structural Engineering and Mechanics
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    • v.11 no.1
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    • pp.17-34
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    • 2001
  • An improved method has been developed for the computation of the section forces and stiffness in nonlinear finite element analysis of RC plane frames. The need for a new approach arises because the conventional technique may have a questionable level of efficiency if a large number of layers is specified and a questionable level of accuracy if a smaller number is used. The proposed technique is based on automatically dividing the section into zones of similar state of stress and tangent modulus and then numerically integrating within each zone to evaluate the sectional stiffness parameters and forces. In the new system, the size, number and location of the layers vary with the state of the strains in the cross section. The proposed method shows a significant improvement in time requirement and accuracy in comparison with the conventional layered approach. The computer program based on the new technique has been used successfully to predict the experimental load-deflection response of a RC frame and good agreement with test and other numerical results have been obtained.

Nonlocal geometrically nonlinear dynamic analysis of nanobeam using a meshless method

  • Ghadiri Rad, Mohammad Hossein;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • v.32 no.3
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    • pp.293-304
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    • 2019
  • In the present paper, the element free Galerkin (EFG) method is developed for geometrically nonlinear analysis of deep beams considering small scale effect. To interpret the behavior of structure at the nano scale, the higher-order gradient elasticity nonlocal theory is taken into account. The radial point interpolation method with high order of continuity is used to construct the shape functions. The nonlinear equation of motion is derived using the principle of the minimization of total potential energy based on total Lagrangian approach. The Newmark method with the small time steps is used to solve the time dependent equations. At each time step, the iterative Newton-Raphson technique is applied to minimize the residential forces caused by the nonlinearity of the equations. The effects of nonlocal parameter and aspect ratio on stiffness and dynamic parameters are discussed by numerical examples. This paper furnishes a ground to develop the EFG method for large deformation analysis of structures considering small scale effects.