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RISA Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems
Publisher: American Society of Civil Engineers
Abstract: A Wiener path integral (WPI)-based approximate technique is developed for determining the joint response probability density function (PDF) of a class of one-dimensional stochastic mechanics problems. Specifically, employing ...
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
Publisher: American Society of Civil Engineers
Abstract: An approximate analytical technique for assessing the reliability of a softening Duffing oscillator subject to evolutionary stochastic excitation is developed. Specifically, relying on a stochastic averaging treatment of ...
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
Publisher: American Society of Civil Engineers
Abstract: An approximate analytical technique for assessing the reliability of a softening Duffing oscillator subject to evolutionary stochastic excitation is developed. Specifically, relying on a stochastic averaging treatment of ...
Functional Series Expansions and Quadratic Approximations for Enhancing the Accuracy of the Wiener Path Integral Technique
Publisher: ASCE
Abstract: A novel Wiener path integral (WPI) technique is developed for determining the response of stochastically excited nonlinear oscillators. This is done by employing functional series expansions in conjunction with quadratic ...
A Wiener Path Integral Formalism for Treating Nonlinear Systems with Non-Markovian Response Processes
Publisher: American Society of Civil Engineers
Abstract: A novel formalism of the Wiener path integral (WPI) technique for determining the stochastic response of diverse dynamical systems is developed. It can be construed as a generalization of earlier efforts to account, in a ...
Linear Random Vibration of Structural Systems with Singular Matrices
Publisher: American Society of Civil Engineers
Abstract: A framework is developed for determining the stochastic response of linear multi-degree-of-freedom (MDOF) structural systems with singular matrices. This system modeling can arise when using more than the minimum number ...
Statistical Linearization of Nonlinear Structural Systems with Singular Matrices
Publisher: American Society of Civil Engineers
Abstract: A generalized statistical linearization technique is developed for determining approximately the stochastic response of nonlinear dynamic systems with singular matrices. This system modeling can arise when a greater than ...
Linear Random Vibration of Structural Systems with Singular Matrices
Publisher: American Society of Civil Engineers
Abstract: A framework is developed for determining the stochastic response of linear multi-degree-of-freedom (MDOF) structural systems with singular matrices. This system modeling can arise when using more than the minimum number ...
Nonlinear Random Vibrations of Beams with In-Span Supports via Statistical Linearization with Constrained Modes
Publisher: American Society of Civil Engineers
Abstract: A statistical linearization technique is developed for determining second-order response statistics of beams with in-span elastic concentrated supports. The nonlinearities considered relate both to the support restoring ...
Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices
Publisher: ASCE
Abstract: An asymptotic approximation methodology for solving standard random eigenvalue problems is generalized herein to account for structural systems with singular random parameter matrices. In this regard, resorting to the ...