Analytical modelling of driven pendulum with small angular displacement using Undetermined Coefficients Method

Michael C. Agarana; Esther T. Akinlabi

doi:10.1016/j.promfg.2019.06.010

Analytical modelling of driven pendulum with small angular displacement using Undetermined Coefficients Method

Michael C. Agarana, Esther T. Akinlabi

Mechanical Engineering Science

Research output: Contribution to journal › Conference article › peer-review

Abstract

Many researchers have worked on dynamical systems in recent times because of its relevance in Engineering and Applied Physics. This paper attempts to model a damped driven simple pendulum as dynamical system and solve the model using Undetermined Coefficients Method. The model is a second order differential equation. The results obtained show that the motion of the pendulum is affected, significantly, by the driving force and the torque of the pendulum. Specifically, as driving force increases the response maximum amplitude of the pendulum decreases.

Original language	English
Pages (from-to)	689-697
Number of pages	9
Journal	Procedia Manufacturing
Volume	35
DOIs	https://doi.org/10.1016/j.promfg.2019.06.010
Publication status	Published - 2019
Event	2nd International Conference on Sustainable Materials Processing and Manufacturing, SMPM 2019 - Sun City, South Africa Duration: 8 Mar 2019 → 10 Mar 2019

Keywords

Analytical modelling
Angular Displacement
Driven Pendulum
Undetermined Coefficients Method

ASJC Scopus subject areas

Industrial and Manufacturing Engineering
Artificial Intelligence

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10.1016/j.promfg.2019.06.010

Cite this

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title = "Analytical modelling of driven pendulum with small angular displacement using Undetermined Coefficients Method",

abstract = "Many researchers have worked on dynamical systems in recent times because of its relevance in Engineering and Applied Physics. This paper attempts to model a damped driven simple pendulum as dynamical system and solve the model using Undetermined Coefficients Method. The model is a second order differential equation. The results obtained show that the motion of the pendulum is affected, significantly, by the driving force and the torque of the pendulum. Specifically, as driving force increases the response maximum amplitude of the pendulum decreases.",

keywords = "Analytical modelling, Angular Displacement, Driven Pendulum, Undetermined Coefficients Method",

author = "Agarana, {Michael C.} and Akinlabi, {Esther T.}",

note = "Publisher Copyright: {\textcopyright} 2019 The Authors.; 2nd International Conference on Sustainable Materials Processing and Manufacturing, SMPM 2019 ; Conference date: 08-03-2019 Through 10-03-2019",

year = "2019",

doi = "10.1016/j.promfg.2019.06.010",

language = "English",

volume = "35",

pages = "689--697",

journal = "Procedia Manufacturing",

issn = "2351-9789",

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T1 - Analytical modelling of driven pendulum with small angular displacement using Undetermined Coefficients Method

AU - Agarana, Michael C.

AU - Akinlabi, Esther T.

PY - 2019

Y1 - 2019

N2 - Many researchers have worked on dynamical systems in recent times because of its relevance in Engineering and Applied Physics. This paper attempts to model a damped driven simple pendulum as dynamical system and solve the model using Undetermined Coefficients Method. The model is a second order differential equation. The results obtained show that the motion of the pendulum is affected, significantly, by the driving force and the torque of the pendulum. Specifically, as driving force increases the response maximum amplitude of the pendulum decreases.

AB - Many researchers have worked on dynamical systems in recent times because of its relevance in Engineering and Applied Physics. This paper attempts to model a damped driven simple pendulum as dynamical system and solve the model using Undetermined Coefficients Method. The model is a second order differential equation. The results obtained show that the motion of the pendulum is affected, significantly, by the driving force and the torque of the pendulum. Specifically, as driving force increases the response maximum amplitude of the pendulum decreases.

KW - Analytical modelling

KW - Angular Displacement

KW - Driven Pendulum

KW - Undetermined Coefficients Method

UR - http://www.scopus.com/inward/record.url?scp=85072377601&partnerID=8YFLogxK

U2 - 10.1016/j.promfg.2019.06.010

DO - 10.1016/j.promfg.2019.06.010

M3 - Conference article

AN - SCOPUS:85072377601

SN - 2351-9789

VL - 35

SP - 689

EP - 697

JO - Procedia Manufacturing

JF - Procedia Manufacturing

T2 - 2nd International Conference on Sustainable Materials Processing and Manufacturing, SMPM 2019

Y2 - 8 March 2019 through 10 March 2019

ER -

Analytical modelling of driven pendulum with small angular displacement using Undetermined Coefficients Method

Abstract

Keywords

ASJC Scopus subject areas

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