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  • Donnan potential  (1)
  • component mode synthesis  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Effects of fixed-charge distribution and pH on the electrophoretic mobility of biological cells (1994)
    Springer
    Colloid & polymer science 272 (1994), S. 251-260 
    Details
    ISSN: 1435-1536
    Keywords: Electrophoretic mobility ; cells ; fixed charge ; Donnan potential
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The electrophoretic mobility of biological cells is investigated theoretically. In particular, the effects of the distribution of the charges in the surface layer and the pH of bulk liquid phase on the mobility of cells are examined. The former includes the fixed charges due to the dissociation of the functional groups and the charges due to the penetrated electrolyte ions. The present analysis extends previous results in that the fixed charges are distributed nonuniformly across the surface layer of a cell. It is found that the distribution of the fixed charges in the surface layer has a significant effect on its electrophoretic mobility. Thus, assuming that the fixed charges are homogeneously distributed in the surface layer of a cell may lead to a significant deviation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00655495
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Effect of the order of the finite element and selection of the constrained modes in deformable body dynamics (1992)
    Springer
    Nonlinear dynamics 3 (1992), S. 57-80 
    Details
    ISSN: 1573-269X
    Keywords: Dynamics ; finite element method ; triangular elements ; multibody dynamics ; component mode synthesis ; nonlinear vibration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Finite elements with different orders can be used in the analysis of constrained deformable bodies that undergo large rigid body displacements. The constrained mode shapes resulting from the use of finite elements with different orders differ in the way the stiffness of the body bending and extension are defined. The constrained modes also depend on the selection of the boundary conditions. Using the same type of finite element, different sets of boundary conditions lead to different sets of constrained modes. In this investigation, the effect of the order of the element as well as the selection of the constrained mode shapes is examined numerically. To this end, the constant strain three node triangular element and the quadratic six node triangular element are used. The results obtained using the three node triangular element are compared with the higher order six node triangular element. The equations of motion for the three and six node triangular elements are formulated from assumed linear and quadratic displacement fields, respectively. Both assumed displacement fields can describe large rigid body translational and rotational displacements. Consequently, the dynamic formulation presented in this investigation can also be used in the large deformation analysis. Using the finite element displacement field, the mass, stiffness, and inertia invariants of the three and six-node triangular elements are formulated. Standard finite element assembly techniques are used to formulate the differential equations of motion for mechanical systems consisting of interconnected deformable bodies. Using a multibody four bar mechanism, numerical results of the different elements and their respective performance are presented. These results indicate that the three node triangular element does not perform well in bending modes of deformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00045471
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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