Examinando por Materia "Stiffness"

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    Acoustic displacement tetrahedra developed using the IET rules
    (PERGAMON-ELSEVIER SCIENCE LTD, 2010-09-01) Correa, S.; Militello, C.; Recuero, M.; Universidad EAFIT. Departamento de Ingeniería de Diseño; Ingeniería de Diseño (GRID)
    A four node, displacement based, acoustic element is developed. In order to avoid spurious rotational modes, a higher order stiffness is introduced. The higher order stiffness is developed from an incompatible strain field which computes element volume changes under nodal rotational displacements fields. The higher order strain satisfies the IET requirements, non affecting convergence. The higher order stiffness is modulated, element by element, with a factor. Thus, the displacement based formulation is capable of placing the spurious rotational modes over the range of physical compressional modes that can be accurately captured by the mesh. © 2010 Elsevier Ltd. All rights reserved.
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    Ítem
    Acoustic displacement tetrahedra developed using the IET rules
    (PERGAMON-ELSEVIER SCIENCE LTD, 2010-09-01) Correa, S.; Militello, C.; Recuero, M.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Bioingeniería GIB (CES – EAFIT)
    A four node, displacement based, acoustic element is developed. In order to avoid spurious rotational modes, a higher order stiffness is introduced. The higher order stiffness is developed from an incompatible strain field which computes element volume changes under nodal rotational displacements fields. The higher order strain satisfies the IET requirements, non affecting convergence. The higher order stiffness is modulated, element by element, with a factor. Thus, the displacement based formulation is capable of placing the spurious rotational modes over the range of physical compressional modes that can be accurately captured by the mesh. © 2010 Elsevier Ltd. All rights reserved.
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    Ítem
    Static Balancing of Four-Bar Linkages with Torsion Springs by Exerting Negative Stiffness Using Linear Spring at the Instant Center of Rotation
    (ASME, 2020-08-19) Franco, Jorge; Gallego, J.; Herder, Just L.; Franco, Jorge; Gallego, J.; Herder, Just L.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de Máquinas
    A design approach for the quasi-static balancing of four-bar linkages with torsion springs is proposed. Such approach is useful on the design of statically balanced compliant mechanisms by setting the stiffness of the Pseudo-Rigid-Body-Model. Here the pos
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    A stiffness derivative local hypercomplex-variable finite element method for computing the energy release rate
    (Elsevier BV, 2019-01-01) Aguirre-Mesa A.M.; Ramirez-Tamayo D.; Garcia M.J.; Montoya A.; Millwater H.; Mecánica Aplicada
    A “local” hypercomplex-variable finite element method, L-ZFEM, is proposed for the computation of the energy release rate (ERR) using the stiffness derivative equation. This approach is analogous to the stiffness derivative method proposed by Parks and Hellen but has superior numerical accuracy. In addition, this method is significantly more efficient than the previously published “global” hypercomplex-variable finite element method, ZFEM, in that the global hypercomplex system of FE equations is not assembled nor solved. Instead, the displacement field is computed using a traditional, real-valued finite element method, and the numerical derivative of the stiffness matrix at the element level is only computed for a group of local, surrounding elements to the crack tip by using a Taylor series expansion based on complex numbers or dual numbers. The ERR is then determined as a sum of the element contributions. Derivatives of the ERR with respect to an arbitrary model parameter such as a crack extension, material property, or geometric feature are also available using a combination of the global and local methods, GL-ZFEM. Both L-ZFEM and GL-ZFEM were implemented into the commercial finite element software Abaqus through user defined element subroutines. Numerical results show that the ERR obtained by L-ZFEM has the same accuracy as that estimated through the global ZFEM or the J-integral methods but exhibits superior computational efficiency. © 2019 Elsevier Ltd