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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 ...
Quartic Wiener Path Integral Approximation for Stochastic Response Determination of Nonlinear Systems
Publisher: American Society of Civil Engineers
Abstract: A novel Wiener path integral (WPI) technique exhibiting an enhanced degree of accuracy is developed for determining the stochastic response of nonlinear structural systems. Specifically, first, the system response joint ...
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 ...