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Extension of a Method of Solution for Poisson’s Equation
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 ...
Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication
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 ...
Multiparameter Perturbation Solution of Algebraic Equations
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 ...
A Class of General Solutions to the Nonlinear Dynamic Equations of Elastic Strings
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 ...
Dynamic Stability of Rotating Shafts in Viscous Fluids
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 ...