An approximate deflection function for simply supported quadrilateral thin plate by variational approach

Kefiyalew Zerfu, Januarti Jaya Ekaputri

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

This paper presents more convenient deflection function that properly substitutes slow converging series function by Naiver for simply supported quadrilateral thin plate. The formulation of the deflection function was conducted by using variational approach. During formulation, Rayleigh-Ritz procedures was used and coordinate function that satisfies kinematic boundary condition and the minimum potential energy principle was developed. In addition to coordinate function, modification factor was applied to the main function for curve fitting purpose. To validate the current study, comparisons were done with Navier's solution and finite element analysis. The results shown that the deviation for mid-point deflection of current study was very small, i.e. around 0.03%, from Navier's solution. Furthermore, it has been investigated that finite element analysis also resulted closer result with current study.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationEmpowering Engineering using Mathematics
EditorsDieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415478
DOIs
Publication statusPublished - 1 Aug 2017
Event2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016 - Surabaya, Indonesia
Duration: 23 Nov 2016 → …

Publication series

NameAIP Conference Proceedings
Volume1867
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016
Country/TerritoryIndonesia
CitySurabaya
Period23/11/16 → …

Fingerprint

Dive into the research topics of 'An approximate deflection function for simply supported quadrilateral thin plate by variational approach'. Together they form a unique fingerprint.

Cite this