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    General Method for Modeling Slope Discontinuities and T-Sections Using ANCF Gradient Deficient Finite Elements 

    Source: Journal of Computational and Nonlinear Dynamics:;2011:;volume( 006 ):;issue: 002:;page 24502
    Author(s): Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Slope discontinuities and T-sections can be modeled in a straight forward manner using fully parameterized absolute nodal coordinate formulation (ANCF) finite elements that have a complete set ...
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    Nadal’s Formula and High Speed Rail Derailments 

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 004:;page 41003
    Author(s): Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Several railroad vehicle derailment criteria are based on the (L/LVV) ratio where L is the lateral force and V is the vertical force acting on the wheelset. Derailment is assumed to occur ...
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    Uniqueness of the Geometric Representation in Large Rotation Finite Element Formulations 

    Source: Journal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 004:;page 44501
    Author(s): Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Several finite element formulations used in the analysis of large rotation and large deformation problems employ independent interpolations for the displacement and rotation fields. As explained ...
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    Directions of the Tangential Creep Forces in Railroad Vehicle Dynamics 

    Source: Journal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 002:;page 21006
    Author(s): Ali Afshari; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In some of the wheel/rail creep theories used in railroad vehicle simulations, the direction of the tangential creep forces is assumed to be the wheel rolling direction (RD). When the Hertz ...
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    Rational Finite Elements and Flexible Body Dynamics 

    Source: Journal of Vibration and Acoustics:;2010:;volume( 132 ):;issue: 004:;page 41007
    Author(s): Peng Lan; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The goal of this study is to develop the dynamic differential equations of the first finite element based on the rational absolute nodal coordinate formulation (RANCF) and to demonstrate its ...
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    Application of Plasticity Theory and Absolute Nodal Coordinate Formulation to Flexible Multibody System Dynamics 

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 003:;page 478
    Author(s): Hiroyuki Sugiyama; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The objective of this investigation is to develop a nonlinear finite element formulation for the elastic-plastic analysis of flexible multibody systems. The Lagrangian plasticity theory based on ...
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    Rail Geometry and Euler Angles 

    Source: Journal of Computational and Nonlinear Dynamics:;2006:;volume( 001 ):;issue: 003:;page 264
    Author(s): Cheta Rathod; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In railroad vehicle dynamics, Euler angles are often used to describe the track geometry (track centerline and rail space curves). The tangent and curvature vectors as well as local geometric ...
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    ANCF Multiplicative-Decomposition Thermoelastic Approach for Arbitrary Geometry 

    Source: Journal of Structural Engineering:;2021:;Volume ( 147 ):;issue: 007:;page 04021086-1
    Author(s): Ahmed A. Shabana; Dayu Zhang
    Publisher: ASCE
    Abstract: The classical approach for the thermal analysis of solids and fluids uses the strain additive decomposition to account for the effect of the temperature. This strain-based approach does not properly capture the effect of ...
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    Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems 

    Source: Journal of Mechanical Design:;2000:;volume( 122 ):;issue: 004:;page 498
    Author(s): Marcello Campanelli; Marcello Berzeri; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Many flexible multibody applications are characterized by high inertia forces and motion discontinuities. Because of these characteristics, problems can be encountered when large displacement finite ...
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    Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications 

    Source: Journal of Mechanical Design:;2001:;volume( 123 ):;issue: 004:;page 614
    Author(s): Refaat Y. Yakoub; Ahmed A. Shabana
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This part of these two companion papers demonstrates the computer implementation of the absolute nodal coordinate formulation for three-dimensional beam elements. Two beam elements that relax the ...
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