Monday, 24 May 2021

Deflection Function Formulation for Simply Supported thin Plate Using Variational Approach | Chapter 6 | Advanced Aspects of Engineering Research Vol. 8

 This study proposes a more practical deflection function that may be used to replace Naiver's slow converging series function for a quadrilateral thin plate that is simply supported. The variational technique was used in the formulation of the deflection function. Rayleigh-Ritz techniques were utilised in the formulation, and a coordinate function that satisfied the kinematic boundary condition and the minimal potential energy principle was created. A modification factor was applied to the primary function in addition to the coordinate function for curve fitting purposes. Comparisons with Navier's solution and finite element analysis were made to validate the current study. The results showed that the current study's departure from Navier's solution for mid-point deflection was very tiny, at 0.03 percent. Furthermore, it was discovered that finite element analysis produced results that were similar to those of the current study. This research will save calculation time by removing Navier's solution's long and slowly converging series coordinate function.

Author (s) Details

Kefiyalew Zerfu
Civil Engineering Department, Jimma Institute of Technology, Jimma University, Ethiopia and Ethiopian Association of Civil Engineers-EACE, Addis Ababa, Ethiopia and Konsorsium Riset Geopolimer Indonesia (KORIGI), Laboratorium Beton dan Bahan Bangunan, Kampus ITS Sukolilo Surabaya, 60111, Indonesia.

Januarti Jaya Ekaputri
Konsorsium Riset Geopolimer Indonesia (KORIGI), Laboratorium Beton dan Bahan Bangunan, Kampus ITS Sukolilo Surabaya, 60111, Indonesia.

View Book :- https://stm.bookpi.org/AAER-V8/article/view/1101

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