Propagation of uncertainties and multimodality in the impact problem of two elastic bodies

Buezas, Fernando Salvador; Rosales, Marta B.; Sampaio, Rubens

doi:10.1016/j.ijmecsci.2013.05.009

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Cited by 4 publications

(2 citation statements)

References 16 publications

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“…In effect, multimodality is present for some of the tension cases. A similar result was obtained by the authors and co-workers in rather different problems [8,9].…”

Section: Introductionsupporting

confidence: 89%

Stochastic dynamics of a non-linear cable–beam system

Ballaben

Sampaio

Rosales

2015

J Braz. Soc. Mech. Sci. Eng.

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“…In effect, multimodality is present for some of the tension cases. A similar result was obtained by the authors and co-workers in rather different problems [8,9].…”

Section: Introductionsupporting

confidence: 89%

Stochastic dynamics of a non-linear cable–beam system

Ballaben

Sampaio

Rosales

2015

J Braz. Soc. Mech. Sci. Eng.

Self Cite

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“…Licea, Villafuerte, and Chen-Charpentier (2013) dealt with Riccati equation that has random coefficients and compared the solutions with MC method. Buezas, Rosales, and Sampaio (2013) solved a nonlinear ODE using finite element method with MC simulation technique. Recently, Leander, Lundh, and Jirstrand (2014) presented an article related to estimated parameters of ODEs that have experimental data for discrete time.…”

mentioning

confidence: 99%

Mean Monte Carlo Finite Difference Method for Random Sampling of a Nonlinear Epidemic System

Mohammed

Ibrahim

Siri

et al. 2016

Sociological Methods & Research

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In this article, a numerical method integrated with statistical data simulation technique is introduced to solve a nonlinear system of ordinary differential equations with multiple random variable coefficients. The utilization of Monte Carlo simulation with central divided difference formula of finite difference (FD) method is repeated n times to simulate values of the variable coefficients as random sampling instead being limited as real values with respect to time. The mean of the n final solutions via this integrated technique, named in short as mean Monte Carlo finite difference (MMCFD) method, represents the final solution of the system. This method is proposed for the first time to calculate the numerical solution obtained for each subpopulation as a vector distribution. The numerical outputs are tabulated, graphed, and compared with previous statistical estimations for 2013, 2015, and 2030, respectively. The solutions of FD and MMCFD are found to be in

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Energy behavior of an electromechanical system with internal impacts and uncertainties

Lima

Sampaio

2016

Journal of Sound and Vibration

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Propagation of uncertainties and multimodality in the impact problem of two elastic bodies

Cited by 4 publications

References 16 publications

Stochastic dynamics of a non-linear cable–beam system

Stochastic dynamics of a non-linear cable–beam system

Mean Monte Carlo Finite Difference Method for Random Sampling of a Nonlinear Epidemic System

Energy behavior of an electromechanical system with internal impacts and uncertainties

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