Buckling and free vibrations behaviour through differential quadrature method for foamed composites
The current work focuses on predicting the buckling and free vibration frequencies (fn) of cenosphere reinforced epoxy based syntactic foam beam under varying loads. Critical buckling loads (Ncr) and fn are predicted using the differential quadrature method (DQM). Ncr and fn have been calculated for...
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Elsevier
2023-03-01
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Series: | Results in Engineering |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S259012302300021X |
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author | Dasari Duryodhana Sunil Waddar Dileep Bonthu Jeyaraj Pitchaimani Satvasheel Powar Mrityunjay Doddamani |
author_facet | Dasari Duryodhana Sunil Waddar Dileep Bonthu Jeyaraj Pitchaimani Satvasheel Powar Mrityunjay Doddamani |
author_sort | Dasari Duryodhana |
collection | DOAJ |
description | The current work focuses on predicting the buckling and free vibration frequencies (fn) of cenosphere reinforced epoxy based syntactic foam beam under varying loads. Critical buckling loads (Ncr) and fn are predicted using the differential quadrature method (DQM). Ncr and fn have been calculated for beams of varying cenosphere volume fractions subjected to axial load under clamped-clamped (CC), clamped-simply (CS), simply-simply (SS), and clamped-free (CF) boundary conditions (BC′s). Upon increasing the cenosphere volume fraction, Ncr and fn of syntactic foam composites increases. These numerical outcomes are compared with the theoretical values evaluated through the Euler-Bernoulli hypothesis and further compared with experimental outcomes. Results are observed to be in precise agreement. The results of the DQM numerical analysis are given out for the different BC′s, aspect ratios, cenosphere volume fractions, and varying loads. It is perceived that depending on the BC′s, the type of axial varying loads and aspect ratios has a substantial effect on the Ncr and fn behaviour of the syntactic foam beams. A comparative study of the obtained results showed that the beam subjected to parabolic load under CC boundary conditions exhibited a higher buckling load. |
first_indexed | 2024-04-10T20:48:12Z |
format | Article |
id | doaj.art-989980cc9543465485088229ff7d47a8 |
institution | Directory Open Access Journal |
issn | 2590-1230 |
language | English |
last_indexed | 2024-04-10T20:48:12Z |
publishDate | 2023-03-01 |
publisher | Elsevier |
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series | Results in Engineering |
spelling | doaj.art-989980cc9543465485088229ff7d47a82023-01-24T04:07:53ZengElsevierResults in Engineering2590-12302023-03-0117100894Buckling and free vibrations behaviour through differential quadrature method for foamed compositesDasari Duryodhana0Sunil Waddar1Dileep Bonthu2Jeyaraj Pitchaimani3Satvasheel Powar4Mrityunjay Doddamani5Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaDepartment of Mechanical Engineering, MVJ College of Engineering, Bangalore, IndiaDepartment of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaDepartment of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaSchool of Mechanical and Materials Engineering, Indian Institute of Technology Mandi, Mandi, 175075, Himachal Pradesh, India; School of Technology and Business Studies, Energy Technology, Dalarna University, Falun 791 31, Sweden; Corresponding author. School of Mechanical and Materials Engineering, Indian Institute of Technology Mandi, Mandi, 175075, Himachal Pradesh, India.School of Mechanical and Materials Engineering, Indian Institute of Technology Mandi, Mandi, 175075, Himachal Pradesh, IndiaThe current work focuses on predicting the buckling and free vibration frequencies (fn) of cenosphere reinforced epoxy based syntactic foam beam under varying loads. Critical buckling loads (Ncr) and fn are predicted using the differential quadrature method (DQM). Ncr and fn have been calculated for beams of varying cenosphere volume fractions subjected to axial load under clamped-clamped (CC), clamped-simply (CS), simply-simply (SS), and clamped-free (CF) boundary conditions (BC′s). Upon increasing the cenosphere volume fraction, Ncr and fn of syntactic foam composites increases. These numerical outcomes are compared with the theoretical values evaluated through the Euler-Bernoulli hypothesis and further compared with experimental outcomes. Results are observed to be in precise agreement. The results of the DQM numerical analysis are given out for the different BC′s, aspect ratios, cenosphere volume fractions, and varying loads. It is perceived that depending on the BC′s, the type of axial varying loads and aspect ratios has a substantial effect on the Ncr and fn behaviour of the syntactic foam beams. A comparative study of the obtained results showed that the beam subjected to parabolic load under CC boundary conditions exhibited a higher buckling load.http://www.sciencedirect.com/science/article/pii/S259012302300021XSyntactic foamDifferential quadrature method (DQM)Axial varying loads |
spellingShingle | Dasari Duryodhana Sunil Waddar Dileep Bonthu Jeyaraj Pitchaimani Satvasheel Powar Mrityunjay Doddamani Buckling and free vibrations behaviour through differential quadrature method for foamed composites Results in Engineering Syntactic foam Differential quadrature method (DQM) Axial varying loads |
title | Buckling and free vibrations behaviour through differential quadrature method for foamed composites |
title_full | Buckling and free vibrations behaviour through differential quadrature method for foamed composites |
title_fullStr | Buckling and free vibrations behaviour through differential quadrature method for foamed composites |
title_full_unstemmed | Buckling and free vibrations behaviour through differential quadrature method for foamed composites |
title_short | Buckling and free vibrations behaviour through differential quadrature method for foamed composites |
title_sort | buckling and free vibrations behaviour through differential quadrature method for foamed composites |
topic | Syntactic foam Differential quadrature method (DQM) Axial varying loads |
url | http://www.sciencedirect.com/science/article/pii/S259012302300021X |
work_keys_str_mv | AT dasariduryodhana bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites AT sunilwaddar bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites AT dileepbonthu bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites AT jeyarajpitchaimani bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites AT satvasheelpowar bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites AT mrityunjaydoddamani bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites |