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Impact Buckling of Thin Bar Via Monte Carlo Method
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 ...
Axial Impact Buckling of a Column With Random Initial Imperfections
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, ...
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)
Publisher: The American Society of Mechanical Engineers (ASME)
Apparently First Closed-Form Solution for Frequencies of Deterministically and/or Stochastically Inhomogeneous Simply Supported Beams
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 ...
Does a Partial Elastic Foundation Increase the Flutter Velocity of a Pipe Conveying Fluid?
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. ...
Godunov-Conte Method for Solution of Eigenvalue Problems and Its Applications
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 ...
On the Ergodicity Assumption in an Applied Mechanics Problem
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 ...
Flexibility-Based Finite Element Analysis for Structures With Random Material Properties
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 ...
Simulation of Multivariate Gaussian Fields Conditioned by Realizations of the Fields and Their Derivatives
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 ...
Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty
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 ...