Probabilistic Assessment of Structures using Monte Carlo Simulations

Марек, Павел; Brozzetti, Jacques; Guštar, Milan; Elishakoff, Isaac

doi:10.1115/1.1451167

Cited by 47 publications

(47 citation statements)

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“…Figs. [8][9][10][11][12] show that the analytical method gave lower limits, energy method upper limit, and the combination type the compromise values. The results by MCS show good agreement with the combination type.…”

Section: Two Dof Systemmentioning

confidence: 99%

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Quasi-linearization of non-linear systems under random vibration by probabilistic method

Lee

Cai

2009

J Mech Sci Technol

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Vibration of a non-linear system under random parametric excitations was evaluated by probabilistic methods. The non-linear characteristic terms of a system were quasi-linearized and excitation terms remained as they were. An analytical method where the square mean of error was minimized was used. An alternative method was an energy method where the damping energy and restoring energy of the linearized system were equalized to those of the original nonlinear system. The numerical results were compared with those obtained by Monte Carlo simulation. A new method was proposed from the comparison of those results. Finally the results obtained by the combined method showed good agreement with those obtained by Monte Carlo simulation.

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Section: Two Dof Systemmentioning

confidence: 99%

“…The Box-Muller method is applied to transform a uniform distribution to a normal distribution [12,13]. The Runge-Kutta method is used to solve the system of equations to obtain the time history analysis of responses [15,16].…”

Section: Two Dof Systemmentioning

confidence: 99%

Quasi-linearization of non-linear systems under random vibration by probabilistic method

Lee

Cai

2009

J Mech Sci Technol

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“…The methodology for the probabilistic analysis of the efficiency of a damping device results from the requirements [9,16] and experience gained from their applications. In this case the MONTE CARLO direct simulation method by Marek, P., Brozzetti, J. and Guštar, M. (2001) to solve the reliability of damping devices was used.…”

Section: Probability and Sensitivity Analysis Of Damping Devicementioning

confidence: 99%

Deterministic and probabilistic analysis of damping device resistance under impact loads from nuclear fuel container drop

Králik

2010

Slovak Journal of Civil Engineering

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“…Recently, numerous authors have been dealing with the interaction of the subsoil with structures, whether in statics, dynamics, or deterministic and probabilistic analyses [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Foundation plate on the elastic half-space, deterministic and probabilistic approach

Tvrdá

2017

MATEC Web Conf.

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Abstract.Interaction between the foundation plate and subgrade can be described by different mathematical -physical model. Elastic foundation can be modelled by different types of models, e.g. one-parametric model, two-parametric model and a comprehensive model -Boussinesque (elastic half-space) had been used. The article deals with deterministic and probabilistic analysis of deflection of the foundation plate on the elastic half-space. Contact between the foundation plate and subsoil was modelled using contact elements node-node. At the end the obtained results are presented.

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Probabilistic Assessment of Structures using Monte Carlo Simulations

Cited by 47 publications

References 0 publications

Quasi-linearization of non-linear systems under random vibration by probabilistic method

Quasi-linearization of non-linear systems under random vibration by probabilistic method

Deterministic and probabilistic analysis of damping device resistance under impact loads from nuclear fuel container drop

Foundation plate on the elastic half-space, deterministic and probabilistic approach

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