Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Experimental and Numerical Study to Improve Lateral Load Resistance of Masonry Stack Kapitel lesen Erstes Kapitel lesen

2020 | OriginalPaper | Buchkapitel

A Stochastic Investigation of Effect of Temperature on Natural Frequencies of Functionally Graded Plates

verfasst von : P. K. Karsh, T. Mukhopadhyay, S. Dey

Erschienen in: Advances in Structural Engineering and Rehabilitation

Verlag: Springer Singapore

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The present paper deals with thermal uncertainty quantification in the free vibration of functionally graded materials (FGMs) cantilever plate by using the finite element method coupled with multivariate adaptive regression splines surrogate (MARS) model. The combined effects of uncertainty in material properties on the natural frequency are examined. The power law is employed for gradation of material properties across the depth of FGM plate, while the Touloukian model is used to evaluate temperature effects on the material properties. In finite element analysis (FEA), eight noded iso-parametric elements are considered with each element having five degrees of freedoms. In MARS, Sobol sampling is employed to train the model, which results in better convergence and accuracy. The results of MARS model are validated with Monte Carlo simulation results. The results reveal that MARS model can achieve a significant level of accuracy without compromising the accuracy of results.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Experimental Study of Confined Brick Masonry Building
Nächstes Kapitel Retrofitting of a Multistoried Building with Earthquake-Resistance Design
Literatur
1.
2.
Dey S, Mukhopadhyay T, Khodaparast HH, Kerfriden P, Adhikari S (2015) Rotational and ply-level uncertainty in response of composite shallow conical shells. Compos Struct 131:594–605CrossRef
3.
Dey S, Mukhopadhyay T, Sahu SK, Adhikari S (2016) Effect of cutout on stochastic natural frequency of composite curved panels. Compos B Eng 105:188–202CrossRef
4.
Dey S, Mukhopadhyay T, Adhikari S (2018) Uncertainty quantification in laminated composites: a meta-model based approach. CRC Press, Taylor & Francis Group, Boca Raton. ISBN 9781498784450
5.
6.
Dey S, Mukhopadhyay T, Spickenheuer A, Gohs U, Adhikari S (2016) Uncertainty quantification in natural frequency of composite plates—an artificial neural network based approach. Adv Compos Lett 25(2):43–48CrossRef
7.
Dey S, Naskar S, Mukhopadhyay T, Gohs U, Spickenheuer A, Bittrich L, Adhikari S, Heinrich G (2016) Uncertain natural frequency analysis of composite plates including effect of noise—a polynomial neural network approach. Compos Struct 143:130–142CrossRef
8.
Mukhopadhyay T (2017) Mechanics of quasi-periodic lattices. Ph.D. thesis, Swansea University
9.
Mukhopadhyay T, Adhikari S (2017) Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices. Int J Eng Sci 119:142–179CrossRef
10.
Hien TD, Noh HC (2017) Stochastic isogeometric analysis of free vibration of functionally graded plates considering material randomness. Comput Methods Appl Mech Eng 318:845–863MathSciNetCrossRef
11.
Xu Y, Qian Y, Song G (2016) Stochastic finite element method for free vibration characteristics of random FGM beams. Appl Math Model 40(23):10238–10253MathSciNetCrossRef
12.
Shenas AG, Ziaee S, Malekzadeh P (2017) Nonlinear vibration analysis of pre-twisted functionally graded microbeams in thermal environment. Thin-Walled Struct 118:87–104CrossRef
13.
Zghal S, Frikha A, Dammak F (2018) Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures. Appl Math Model 53:132–155MathSciNetCrossRef
14.
15.
Wang ZH, Wang XH, Xu GD, Cheng S, Zeng T (2016) Free vibration of two-directional functionally graded beams. Compos Struct 135:191–198CrossRef
16.
Rezaiee-Pajand M, Hozhabrossadati SM (2016) Analytical and numerical method for free vibration of double-axially functionally graded beams. Compos Struct 152:488–498CrossRef
17.
Chen D, Yang J, Kitipornchai S (2016) Free and forced vibrations of shear deformable functionally graded porous beams. Int J Mech Sci 108:14–22CrossRef
18.
19.
Bediz B (2018) Three-dimensional vibration behavior of bi-directional functionally graded curved parallelepipeds using spectral Tchebychev approach. Compos Struct 191:100–112CrossRef
20.
Liu M, Cheng Y, Liu J (2015) High-order free vibration analysis of sandwich plates with both functionally graded face sheets and functionally graded flexible core. Compos B Eng 72:97–107CrossRef
21.
Razavi H, Babadi AF, Beni YT (2017) Free vibration analysis of functionally graded piezoelectric cylindrical nanoshell based on consistent couple stress theory. Compos Struct 160:1299–1309CrossRef
22.
Mukhopadhyay T, Mahata A, Dey S, Adhikari S (2016) Probabilistic analysis and design of HCP nanowires: an efficient surrogate based molecular dynamics simulation approach. J Mater Sci Technol 32(12):1345–1351CrossRef
23.
Mahata A, Mukhopadhyay T, Adhikari S (2016) A polynomial chaos expansion based molecular dynamics study for probabilistic strength analysis of nano-twinned copper. Mater Res Express 3:036501CrossRef
24.
Mukhopadhyay T, Mahata A, Adhikari S, Asle Zaeem M (2017) Effective mechanical properties of multilayer nano-heterostructures. Sci Rep 7:15818
25.
Mukhopadhyay T, Adhikari S (2016) Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity. Mech Mater 95:204–222CrossRef
26.
Karsh PK, Mukhopadhyay T, Dey S (2018) Spatial vulnerability analysis for the first ply failure strength of composite laminates including effect of delamination. Compos Struct 184:554–567CrossRef
27.
28.
Mukhopadhyay T, Adhikari S (2016) Equivalent in-plane elastic properties of irregular honeycombs: an analytical approach. Int J Solids Struct 91:169–184CrossRef
29.
Mukhopadhyay T, Adhikari S (2017) Stochastic mechanics of metamaterials. Compos Struct 162:85–97CrossRef
30.
Karsh PK, Mukhopadhyay T, Dey S (2018) Stochastic dynamic analysis of twisted functionally graded plates. Compos B Eng 147:259–278CrossRef
31.
Meirovitch L (1992) Dynamics and control of structures. Wiley, NY
32.
Touloukian YS (1967) Thermophysical properties of high temperature solid materials. McMillan, New York
33.
Mukhopadhyay T, Adhikari S (2016) Free vibration analysis of sandwich panels with randomly irregular honeycomb core. J Eng Mech 142(11):06016008CrossRef
34.
Mukhopadhyay T, Mahata A, Adhikari S, Asle Zaeem M (2018) Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures. Nanoscale 10:5280–5294CrossRef
35.
Mukhopadhyay T, Mahata A, Adhikari S, Asle Zaeem M (2017) Effective elastic properties of two dimensional multiplanar hexagonal nano-structures. 2D Mater 4:025006CrossRef
36.
Dey S, Mukhopadhyay T, Adhikari S (2017) Metamodel based high-fidelity stochastic analysis of composite laminates: a concise review with critical comparative assessment. Compos Struct 171:227–250CrossRef
37.
Mukhopadhyay T, Naskar S, Dey S, Adhikari S (2016) On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells. Compos Struct 140:798–805CrossRef
38.
Dey S, Mukhopadhyay T, Khodaparast HH, Adhikari S (2016) A response surface modelling approach for resonance driven reliability based optimization of composite shells. Periodica Polytech Civil Eng 60(1):103–111CrossRef
39.
Dey TK, Mukhopadhyay T, Chakrabarti A, Sharma UK (2015) Efficient lightweight design of FRP bridge deck. Proc Inst Civ Eng Struct Buildings 168(10):697–707CrossRef
40.
Mukhopadhyay T, Chowdhury R, Chakrabarti A (2016) Structural damage identification: a random sampling-high dimensional model representation approach. Adv Struct Eng 19(6):908–927CrossRef
41.
Mukhopadhyay T, Dey TK, Dey S, Chakrabarti A (2015) Optimization of fiber reinforced polymer web core bridge deck—a hybrid approach. Struct Eng Int 25(2):173–183CrossRef
42.
Naskar S, Mukhopadhyay T, Sriramula S, Adhikari S (2017) Stochastic natural frequency analysis of damaged thin-walled laminated composite beams with uncertainty in micromechanical properties. Compos Struct 160:312–334CrossRef
43.
Dey S, Mukhopadhyay T, Sahu SK, Adhikari S (2018) Stochastic dynamic stability analysis of composite curved panels subjected to non-uniform partial edge loading. Eur J Mech A Solids 67:108–122MathSciNetCrossRef
44.
45.
Hastie T, Tibshirani R, Friedman J (2009) Unsupervised learning. In: The elements of statistical learning. Springer, New York
46.
Metya S, Mukhopadhyay T, Adhikari S, Bhattacharya G (2017) System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines. Comput Geotech 87:212–228CrossRef
47.
Mukhopadhyay T (2017) A multivariate adaptive regression splines based damage identification methodology for web core composite bridges including the effect of noise. J Sandwich Struct Mater 1099636216682533
48.
Sobol IYM (1967) On the distribution of points in a cube and the approximate evaluation of integrals. Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki 7(4):784–802MathSciNet
49.
Mukhopadhyay T, Dey TK, Chowdhury R, Chakrabarti A, Adhikari S (2015) Optimum design of FRP bridge deck: an efficient RS-HDMR based approach. Struct Multi Optim 52(3):459–477CrossRef
50.
Singh H, Hazarika BC, Dey S (2017) Low velocity impact responses of functionally graded plates. Procedia Eng 173:264–270CrossRef
Metadaten
Titel
A Stochastic Investigation of Effect of Temperature on Natural Frequencies of Functionally Graded Plates
verfasst von
P. K. Karsh
T. Mukhopadhyay
S. Dey
Copyright-Jahr
2020
Verlag
Springer Singapore
Buch
Advances in Structural Engineering and Rehabilitation

Print ISBN: 978-981-13-7614-6

Electronic ISBN: 978-981-13-7615-3

Copyright-Jahr: 2020

DOI
https://doi.org/10.1007/978-981-13-7615-3_3