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  • 1
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2003
    In:  Nonlinear Dynamics Vol. 34, No. 1/2 ( 2003-10), p. 53-74
    In: Nonlinear Dynamics, Springer Science and Business Media LLC, Vol. 34, No. 1/2 ( 2003-10), p. 53-74
    Type of Medium: Online Resource
    ISSN: 0924-090X
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2003
    detail.hit.zdb_id: 2012600-1
    SSG: 11
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  • 2
    Online Resource
    Online Resource
    SAGE Publications ; 2004
    In:  Journal of Vibration and Control Vol. 10, No. 11 ( 2004-11), p. 1601-1638
    In: Journal of Vibration and Control, SAGE Publications, Vol. 10, No. 11 ( 2004-11), p. 1601-1638
    Abstract: Leaf springs are essential elements in the suspension systems of vehicles including sport utility vehicles, trucks, and railroad vehicles. Accurate modeling of the leaf springs is necessary in evaluating ride comfort, braking performance, vibration characteristics, and stability. In order to accurately model the deformations and vibrations of the leaf springs, nonlinear finite-element procedures, which account for the dynamic coupling between different modes of displacement, are employed. Two finite-element methods that take into account the effect of the distributed inertia and elasticity are discussed in this investigation to model the dynamics of leaf springs. The first is based on a floating frame of reference formulation, while the second is an absolute nodal coordinate formulation. The floating frame of reference formulation allows for using a reduced-order model by employing component mode synthesis techniques, while the absolute nodal coordinate formulation enables more detailed finite-element models for the large deformation of very flexible leaf springs. Methods for modeling the contact and friction between the leaves of the spring are discussed. A comparison is also presented between the results obtained using the proposed method and simplified approaches presented in the literature. While there are many issues that can be important in leaf spring modeling, the analysis presented in this paper is focused on a few key issues that include the computer implementation, the effect of the dynamic load on the spring stiffness, the selection of the vibration modes in the reduced-order model, and the effect of the structural damping on the response of the leaf spring.
    Type of Medium: Online Resource
    ISSN: 1077-5463 , 1741-2986
    Language: English
    Publisher: SAGE Publications
    Publication Date: 2004
    detail.hit.zdb_id: 2070247-4
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  • 3
    In: Diabetologia, Springer Science and Business Media LLC, Vol. 47, No. S1 ( 2004-8), p. A1-A464
    Type of Medium: Online Resource
    ISSN: 0012-186X , 1432-0428
    RVK:
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2004
    detail.hit.zdb_id: 1458993-X
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  • 4
    Online Resource
    Online Resource
    ASME International ; 2003
    In:  Journal of Mechanical Design Vol. 125, No. 4 ( 2003-12-01), p. 746-756
    In: Journal of Mechanical Design, ASME International, Vol. 125, No. 4 ( 2003-12-01), p. 746-756
    Abstract: In this investigation, a nonlinear finite element method for the large deformation and rotation of cable problems is presented. This method is based on finite element absolute nodal coordinate formulation that guarantees the continuity of all displacement gradients and leads to a constant mass matrix. The classical cable theory is first reviewed and the assumptions used in this linear theory are defined in order to demonstrate the basic differences between the linear theory and the nonlinear finite element formulation proposed in this paper for cable applications. The elastic cable forces in the absolute nodal coordinate formulation are obtained using a general continuum mechanics approach that accounts for the effect of all geometric nonlinearities. It is shown in this investigation that the use of the general continuum mechanics approach leads to a simpler and more efficient formulation as compared to the use of the assumptions of the linear theory that employs a local finite element coordinate system. The results obtained using the absolute nodal coordinate formulation show a good agreement with the results obtained using the classical cable theory when linear cable problems are considered. In particular it is shown that the use of perturbation methods to linearize the finite element equations of motion leads to modal characteristics results that are in a good agreement with the linear theory. The results of this investigation obtained using explicit numerical integration also show the potential of the proposed finite element formulation in the nonlinear analysis of cables that experience large rotations and deformations. The generalization of the procedure presented in this paper to three-dimensional cable problems is demonstrated and the computer implementation in multibody algorithms is discussed.
    Type of Medium: Online Resource
    ISSN: 1050-0472 , 1528-9001
    Language: English
    Publisher: ASME International
    Publication Date: 2003
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  • 5
    Online Resource
    Online Resource
    ASME International ; 2003
    In:  Journal of Mechanical Design Vol. 125, No. 2 ( 2003-06-01), p. 342-350
    In: Journal of Mechanical Design, ASME International, Vol. 125, No. 2 ( 2003-06-01), p. 342-350
    Abstract: A large rigid body rotation of a finite element can be described by rotating the axes of the element coordinate system or by keeping the axes unchanged and change the slopes or the position vector gradients. In the first method, the definition of the local element parameters (spatial coordinates) changes with respect to a body or a global coordinate system. The use of this method will always lead to a nonlinear mass matrix and non-zero centrifugal and Coriolis forces. The second method, in which the axes of the element coordinate system do not rotate with respect to the body or the global coordinate system, leads to a constant mass matrix and zero centrifugal and Coriolis forces when the absolute nodal coordinate formulation is used. This important property remains in effect even in the case of flexible bodies with slope discontinuities. The concept employed to accomplish this goal resembles the concept of the intermediate element coordinate system previously adopted in the finite element floating frame of reference formulation. It is shown in this paper that the absolute nodal coordinate formulation that leads to exact representation of the rigid body dynamics can be effectively used in the analysis of complex structures with slope discontinuities. The analysis presented in this paper also demonstrates that objectivity is not an issue when the absolute nodal coordinate formulation is used due to the fact that this formulation automatically accounts for the proper coordinate transformations.
    Type of Medium: Online Resource
    ISSN: 1050-0472 , 1528-9001
    Language: English
    Publisher: ASME International
    Publication Date: 2003
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