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    Extension of a Method of Solution for Poisson’s Equation 

    Source: Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 003:;page 415
    Author(s): M. H. Cobble; W. F. Ames
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A classical substitution procedure for solving Poisson’s equation ∇2 φ = −K is extended by application of certain coordinate transformations suggested by the functional form of K. The method ...
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    Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication 

    Source: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 001:;page 206
    Author(s): M. L. Abell; W. F. Ames
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A symmetry reduction using a one-parameter spiral group is performed on a Reynolds equation in order to analyze this equation arising in the study of film lubrication. Approximate solutions are ...
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    Multiparameter Perturbation Solution of Algebraic Equations 

    Source: Journal of Applied Mechanics:;1966:;volume( 033 ):;issue: 001:;page 218
    Author(s): W. F. Ames; J. F. Sontowski
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The classical perturbation method—the expansion of a solution of an algebraic equation as a power series in a parameter—is extended to an expansion in several parameters. An example concerning ...
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    A Class of General Solutions to the Nonlinear Dynamic Equations of Elastic Strings 

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 004:;page 1035
    Author(s): Shiang-Yu Lee; W. F. Ames
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A class of general solutions to the nonlinear dynamic equations for large deflections of an elastic string is developed. These solutions, obtained under a condition of decoupling, are valid for ...
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    Dynamic Stability of Rotating Shafts in Viscous Fluids 

    Source: Journal of Applied Mechanics:;1964:;volume( 031 ):;issue: 002:;page 291
    Author(s): W. H. Walston; W. F. Ames; L. G. Clark
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Stability characteristics of an overhanging shaft immersed in a viscous fluid are investigated experimentally. The predominance of two effects, damping and virtual mass, are separated and explored ...
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