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    Impact Buckling of Thin Bar Via Monte Carlo Method 

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003:;page 586
    Author(s): I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Impact buckling of elastic bars with initial imperfections is studied. The latter are assumed to be a normally distributed random function of the space coordinate with given mean function and ...
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    Axial Impact Buckling of a Column With Random Initial Imperfections 

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 002:;page 361
    Author(s): I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Axial impact buckling of perfectly elastic bars with initial imperfections is considered in a probabilistic setting. It is assumed that the initial imperfection function involved a single parameter, ...
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    Discussion: “Random Vibrations of Externally Damped Viscoelastic Timoshenko Beams With General Boundary Conditions” (Singh, M. P., and Abdelnaser, A. S., 1993, ASME J. Appl Mech., 60, pp. 149–156) 

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 001:;page 224
    Author(s): I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Apparently First Closed-Form Solution for Frequencies of Deterministically and/or Stochastically Inhomogeneous Simply Supported Beams 

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 002:;page 176
    Author(s): S. Candan; I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An infinite number of closed-form solutions is reported for a deterministically or stochastically nonhomogeneous beam, for both natural frequencies and reliabilities, for specialized cases. These ...
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    Does a Partial Elastic Foundation Increase the Flutter Velocity of a Pipe Conveying Fluid? 

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 002:;page 206
    Author(s): I. Elishakoff; N. Impollonia
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The effect of the elastic Winkler and rotatory foundations on the stability of a pipe conveying fluid is investigated in this paper. Both elastic foundations are partially attached to the pipe. ...
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    Godunov-Conte Method for Solution of Eigenvalue Problems and Its Applications 

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 004:;page 776
    Author(s): I. Elishakoff; M. Charmats
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The method originally presented by Godunov and modified by Conte for solution of two-point boundary-value problems, is outlined here as applied to eigenvalue problems. The method (which avoids ...
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    On the Ergodicity Assumption in an Applied Mechanics Problem 

    Source: Journal of Applied Mechanics:;1985:;volume( 052 ):;issue: 001:;page 133
    Author(s): A. Scheurkogel; I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A deformation of a thin uniform cylindrical shell is considered under random axisymmetric loading. Mathematically this is equivalent to the study of a quasi-linear differential equation with ...
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    Flexibility-Based Finite Element Analysis for Structures With Random Material Properties 

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004:;page 908
    Author(s): Yongjian Ren; I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, we propose a flexibility-based finite element formulation for beams with stochastic bending stiffness. We formulate the element-level finite element equilibrium equation in terms ...
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    Simulation of Multivariate Gaussian Fields Conditioned by Realizations of the Fields and Their Derivatives 

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 003:;page 758
    Author(s): Y. J. Ren; M. Shinozuka; I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper investigates conditional simulation technique of multivariate Gaussian random fields by stochastic interpolation technique. For the first time in the literature a situation is studied ...
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    Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty 

    Source: Journal of Applied Mechanics:;2000:;volume( 067 ):;issue: 003:;page 472
    Author(s): M. Zingales; Research Assistant; I. Elishakoff
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study probabilistic and nonprobabilistic anti-optimization approaches are contrasted to evaluate their relative advantages and disadvantages while solving a mechanical problem in presence ...
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