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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Main Authors: Dasari Duryodhana, Sunil Waddar, Dileep Bonthu, Jeyaraj Pitchaimani, Satvasheel Powar, Mrityunjay Doddamani
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Results in Engineering
Subjects:
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.
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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
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AT sunilwaddar bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites
AT dileepbonthu bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites
AT jeyarajpitchaimani bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites
AT satvasheelpowar bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites
AT mrityunjaydoddamani bucklingandfreevibrationsbehaviourthroughdifferentialquadraturemethodforfoamedcomposites