Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm

Michael C. Agarana; Esther T. Akinlabi; Michael O. Ikumapayi

doi:10.1007/978-981-15-4488-0_20

Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm

Michael C. Agarana^*, Esther T. Akinlabi, Michael O. Ikumapayi

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

Aluminum is one of the most used mechanical elements in Manufacturing. This paper focuses on the analysis of its dynamic response of an Aluminum plate, under a moving load. The moving load, in this case, is assumed to be partially distributed. Rotatory inertia and damping effects were neglected, while the effect of shear deformation was put into consideration. Also, the rectangular Aluminum plate was supported by a simple form of foundation. A numerical algorithm–Finite difference was adopted in solving the mathematical model governing the deflection of plates under moving load under consideration. It was observed, among other results, that the maximum amplitude of the deflection of the Aluminum plate is a function of the contact area of the load and velocity of the moving load, which is in line with the results in the literature.

Original language	English
Title of host publication	Trends in Mechanical and Biomedical Design
Subtitle of host publication	Select Proceedings of ICMechD 2019
Editors	Esther Titilayo Akinlabi, P. Ramkumar, M. Selvaraj
Place of Publication	Singapore
Publisher	Springer
Pages	223-229
Number of pages	7
ISBN (Electronic)	9789811544880
ISBN (Print)	9789811544873
DOIs	https://doi.org/10.1007/978-981-15-4488-0_20
Publication status	Published - 21 Aug 2020
Externally published	Yes
Event	2nd International Conference on Mechanical Engineering Design,ICMechD 2019 - Chennai, India Duration: 25 Apr 2019 → 26 Apr 2019

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	2nd International Conference on Mechanical Engineering Design,ICMechD 2019
Country/Territory	India
City	Chennai
Period	25/04/19 → 26/04/19

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Keywords

Analytical investigation
Cross sections
Homogeneous isotropic materials
Stiffness

Access to Document

10.1007/978-981-15-4488-0_20

Cite this

Agarana, M. C., Akinlabi, E. T., & Ikumapayi, M. O. (2020). Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm. In E. T. Akinlabi, P. Ramkumar, & M. Selvaraj (Eds.), Trends in Mechanical and Biomedical Design : Select Proceedings of ICMechD 2019 (pp. 223-229). (Lecture Notes in Mechanical Engineering). Springer. https://doi.org/10.1007/978-981-15-4488-0_20

Agarana, Michael C. ; Akinlabi, Esther T. ; Ikumapayi, Michael O. / Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm. Trends in Mechanical and Biomedical Design : Select Proceedings of ICMechD 2019. editor / Esther Titilayo Akinlabi ; P. Ramkumar ; M. Selvaraj. Singapore : Springer, 2020. pp. 223-229 (Lecture Notes in Mechanical Engineering).

@inproceedings{d84b7733b6ce409f8ddc9e75b883c9cb,

title = "Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm",

abstract = "Aluminum is one of the most used mechanical elements in Manufacturing. This paper focuses on the analysis of its dynamic response of an Aluminum plate, under a moving load. The moving load, in this case, is assumed to be partially distributed. Rotatory inertia and damping effects were neglected, while the effect of shear deformation was put into consideration. Also, the rectangular Aluminum plate was supported by a simple form of foundation. A numerical algorithm–Finite difference was adopted in solving the mathematical model governing the deflection of plates under moving load under consideration. It was observed, among other results, that the maximum amplitude of the deflection of the Aluminum plate is a function of the contact area of the load and velocity of the moving load, which is in line with the results in the literature.",

keywords = "Analytical investigation, Cross sections, Homogeneous isotropic materials, Stiffness",

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

note = "Funding Information: The authors hereby acknowledge the supports of Covenant University and the University of Johannesburg towards the successful completion of this study. Publisher Copyright: {\textcopyright} 2021, Springer Nature Singapore Pte Ltd.; 2nd International Conference on Mechanical Engineering Design,ICMechD 2019 ; Conference date: 25-04-2019 Through 26-04-2019",

year = "2020",

month = aug,

day = "21",

doi = "10.1007/978-981-15-4488-0\_20",

language = "English",

isbn = "9789811544873",

series = "Lecture Notes in Mechanical Engineering",

publisher = "Springer",

pages = "223--229",

editor = "Akinlabi, \{Esther Titilayo\} and P. Ramkumar and M. Selvaraj",

booktitle = "Trends in Mechanical and Biomedical Design",

address = "Germany",

}

Agarana, MC, Akinlabi, ET & Ikumapayi, MO 2020, Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm. in ET Akinlabi, P Ramkumar & M Selvaraj (eds), Trends in Mechanical and Biomedical Design : Select Proceedings of ICMechD 2019. Lecture Notes in Mechanical Engineering, Springer, Singapore, pp. 223-229, 2nd International Conference on Mechanical Engineering Design,ICMechD 2019, Chennai, India, 25/04/19. https://doi.org/10.1007/978-981-15-4488-0_20

Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm. / Agarana, Michael C.; Akinlabi, Esther T.; Ikumapayi, Michael O.
Trends in Mechanical and Biomedical Design : Select Proceedings of ICMechD 2019. ed. / Esther Titilayo Akinlabi; P. Ramkumar; M. Selvaraj. Singapore: Springer, 2020. p. 223-229 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm

AU - Agarana, Michael C.

AU - Akinlabi, Esther T.

AU - Ikumapayi, Michael O.

N1 - Funding Information: The authors hereby acknowledge the supports of Covenant University and the University of Johannesburg towards the successful completion of this study. Publisher Copyright: © 2021, Springer Nature Singapore Pte Ltd.

PY - 2020/8/21

Y1 - 2020/8/21

N2 - Aluminum is one of the most used mechanical elements in Manufacturing. This paper focuses on the analysis of its dynamic response of an Aluminum plate, under a moving load. The moving load, in this case, is assumed to be partially distributed. Rotatory inertia and damping effects were neglected, while the effect of shear deformation was put into consideration. Also, the rectangular Aluminum plate was supported by a simple form of foundation. A numerical algorithm–Finite difference was adopted in solving the mathematical model governing the deflection of plates under moving load under consideration. It was observed, among other results, that the maximum amplitude of the deflection of the Aluminum plate is a function of the contact area of the load and velocity of the moving load, which is in line with the results in the literature.

AB - Aluminum is one of the most used mechanical elements in Manufacturing. This paper focuses on the analysis of its dynamic response of an Aluminum plate, under a moving load. The moving load, in this case, is assumed to be partially distributed. Rotatory inertia and damping effects were neglected, while the effect of shear deformation was put into consideration. Also, the rectangular Aluminum plate was supported by a simple form of foundation. A numerical algorithm–Finite difference was adopted in solving the mathematical model governing the deflection of plates under moving load under consideration. It was observed, among other results, that the maximum amplitude of the deflection of the Aluminum plate is a function of the contact area of the load and velocity of the moving load, which is in line with the results in the literature.

KW - Analytical investigation

KW - Cross sections

KW - Homogeneous isotropic materials

KW - Stiffness

UR - https://www.scopus.com/pages/publications/85093894413

U2 - 10.1007/978-981-15-4488-0_20

DO - 10.1007/978-981-15-4488-0_20

M3 - Conference contribution

AN - SCOPUS:85093894413

SN - 9789811544873

T3 - Lecture Notes in Mechanical Engineering

SP - 223

EP - 229

BT - Trends in Mechanical and Biomedical Design

A2 - Akinlabi, Esther Titilayo

A2 - Ramkumar, P.

A2 - Selvaraj, M.

PB - Springer

CY - Singapore

T2 - 2nd International Conference on Mechanical Engineering Design,ICMechD 2019

Y2 - 25 April 2019 through 26 April 2019

ER -

Agarana MC, Akinlabi ET, Ikumapayi MO. Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm. In Akinlabi ET, Ramkumar P, Selvaraj M, editors, Trends in Mechanical and Biomedical Design : Select Proceedings of ICMechD 2019. Singapore: Springer. 2020. p. 223-229. (Lecture Notes in Mechanical Engineering). Epub 2020 Aug 20. doi: 10.1007/978-981-15-4488-0_20

Dynamic Analysis of Rectangular Aluminum Plate Under Transverse Loading Using Finite Difference Algorithm

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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