A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING

Hande Uslu; Murat Sari

A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING

Hande Uslu^*, Murat Sari

^*Bu çalışma için yazışmadan sorumlu yazar

Yildiz Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	179-186
Sayfa sayısı	8
Dergi	Sigma Journal of Engineering and Natural Sciences
Hacim	10
Yayın durumu	Yayınlandı - 2019
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2019 Yildiz Technical University. All Rights Reserved.

Finansman

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions for improving the paper. The first author also would like to thank Scientific and Technological Research Council of Turkey (TUBITAK), under the 2211-E Program which supports the author.

Finansörler	Finansör numarası
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING",

abstract = "Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.",

keywords = "Duffing oscillator, Monte Carlo simulation, initial value problem, nonlinear process, stochastic method",

author = "Hande Uslu and Murat Sari",

year = "2019",

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journal = "Sigma Journal of Engineering and Natural Sciences",

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TY - JOUR

T1 - A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING

AU - Uslu, Hande

AU - Sari, Murat

PY - 2019

Y1 - 2019

N2 - Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.

AB - Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.

KW - Duffing oscillator

KW - Monte Carlo simulation

KW - initial value problem

KW - nonlinear process

KW - stochastic method

UR - https://www.scopus.com/pages/publications/85149970116

M3 - Article

AN - SCOPUS:85149970116

SN - 1304-7191

VL - 10

SP - 179

EP - 186

JO - Sigma Journal of Engineering and Natural Sciences

JF - Sigma Journal of Engineering and Natural Sciences

ER -

A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING

Özet

Bibliyografik not

Finansman

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