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
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Meccanica
Erschienen in: Meccanica 6/2017

22.07.2016

Exact solution for axial and transverse dynamic response of functionally graded nanobeam under moving constant load based on nonlocal elasticity theory

verfasst von: S. A. H. Hosseini, O. Rahmani

Erschienen in: Meccanica | Ausgabe 6/2017

Einloggen

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

search-config
loading …

Abstract

This paper aims to analyze the axial and transverse dynamic response of a functionally graded nanobeam under a moving constant load. The governing equations are obtained using the Hamilton principle and nonlocal Euler–Bernoulli beam theory. The mechanical properties vary in the thickness direction. The simply supported boundary condition is assumed and using the Laplace transform, the exact solution for the transverse and axial dynamic response is presented. Some examples were used to analyze nonlocal parameters such as power law index of FG materials, aspect ratio and the velocity of a moving constant load and also their influence on axial and transverse dynamic and maximum deflections. By obtaining a good agreement between the presented natural frequencies in this study and previous works, the results of this study are validated.
Vorheriger Artikel Simulated hail impacts on flexible photovoltaic laminates: testing and modelling
Nächster Artikel Ultrasound influence on the erosive capacity at the electrodischarge processing with ultrasonic activated wire electrode in a single point

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
Literatur
1.
Kiani K (2011) Small-scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory. J Sound Vib 330(20):4896–4914ADSCrossRef
2.
Ebrahimi F, Ghadiri M, Salari E, Hoseini SAH, Shaghaghi GR (2015) Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams. J Mech Sci Technol 29(3):1207–1215CrossRef
3.
4.
5.
Niknam H, Aghdam M (2015) A semi analytical approach for large amplitude free vibration and buckling of nonlocal FG beams resting on elastic foundation. Compos Struct 119:452–462CrossRef
6.
7.
8.
Rahmani O, Asemani SS, Hosseini SAH (2015) Study the buckling of functionally graded nanobeams in elastic medium with surface effects based on a nonlocal theory. J Comput Theor Nanosci 12(10):3162–3170. doi:10.​1166/​jctn.​2015.​4095 CrossRef
9.
Rahmani O, Asemani SS, Hosseini SA (2016) Study the surface effect on the buckling of nanowires embedded in Winkler–Pasternak elastic medium based on a nonlocal theory. J Nanostruct 6(1):87–92
10.
Veith M, Sow E, Werner U, Petersen C, Aktas OC (2008) The transformation of core/shell aluminium/alumina nanoparticles into nanowires. Eur J Inorg Chem 2008(33):5181–5184. doi:10.​1002/​ejic.​200800890 CrossRef
11.
Craciunescu C, Wuttig M (2003) New ferromagnetic and functionally grade shape memory alloys. J Optoelectron Adv Mater 5(1):139–146
12.
Fu Y, Du H, Zhang S (2003) Functionally graded TiN/TiNi shape memory alloy films. Mater Lett 57(20):2995–2999CrossRef
13.
Fu Y, Du H, Huang W, Zhang S, Hu M (2004) TiNi-based thin films in MEMS applications: a review. Sens Actuators A 112(2):395–408CrossRef
14.
Miyazaki S, Fu Y, Huang W (eds) (2009) Overview of sputter-deposited TiNi based thin films. In: Thin film shape memory alloys: fundamentals and device applications. Cambridge University Press, Cambridge
15.
Jia X, Yang J, Kitipornchai S (2010) Characterization of FGM micro-switches under electrostatic and Casimir forces. In: IOP conference series: materials science and engineering, vol 1. IOP Publishing, p 012178
16.
Jia X, Yang J, Kitipornchai S, Lim C (2011) Forced vibration of electrically actuated FGM micro-switches. Procedia Eng 14:280–287CrossRef
17.
Shariat BS, Liu Y, Rio G (2012) Thermomechanical modelling of microstructurally graded shape memory alloys. J Alloys Compd 541:407–414CrossRef
18.
Carbonari RC, Silva EC, Paulino GH (2009) Multi-actuated functionally graded piezoelectric micro-tools design: a multiphysics topology optimization approach. Int J Numer Methods Eng 77(3):301–336CrossRefMATH
19.
Batra R, Porfiri M, Spinello D (2008) Vibrations of narrow microbeams predeformed by an electric field. J Sound Vib 309(3):600–612ADSCrossRef
20.
Chen H, Zhang G, Richardson K, Luo J (2008) Synthesis of nanostructured nanoclay-zirconia multilayers: a feasibility study. J Nanomater 2008:47
21.
Hasanyan D, Batra R, Harutyunyan S (2008) Pull-in instabilities in functionally graded microthermoelectromechanical systems. J Therm Stress 31(10):1006–1021CrossRef
22.
Jia X, Yang J, Kitipornchai S, Lim CW (2012) Pull-in instability and free vibration of electrically actuated poly-SiGe graded micro-beams with a curved ground electrode. Appl Math Model 36(5):1875–1884MathSciNetCrossRefMATH
23.
Mohammadi-Alasti B, Rezazadeh G, Borgheei A-M, Minaei S, Habibifar R (2011) On the mechanical behavior of a functionally graded micro-beam subjected to a thermal moment and nonlinear electrostatic pressure. Compos Struct 93(6):1516–1525CrossRef
24.
Witvrouw A, Mehta A (2005) The use of functionally graded poly-SiGe layers for MEMS applications. In: Van der Biest O, Gasik M, Vleugels J (eds) Materials science forum, vol 492. Trans Tech Publications, Switzerland
25.
Eltaher M, Emam SA, Mahmoud F (2013) Static and stability analysis of nonlocal functionally graded nanobeams. Compos Struct 96:82–88CrossRef
26.
Eltaher M, Khairy A, Sadoun A, Omar F-A (2014) Static and buckling analysis of functionally graded Timoshenko nanobeams. Appl Math Comput 229:283–295MathSciNet
27.
28.
Kiani K, Mehri B (2010) Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories. J Sound Vib 329(11):2241–2264ADSCrossRef
29.
30.
Jandaghian A, Rahmani O (2016) Free vibration analysis of magneto-electro-thermo-elastic nanobeams resting on a Pasternak foundation. Smart Mater Struct 25(3):035023ADSCrossRef
31.
32.
Hayati H, Hosseini SA, Rahmani O (2016) Coupled twist–bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory. Microsyst Technol 1–9. doi:10.​1007/​s00542-016-2933-0
33.
Jandaghian AA, Rahmani O (2015) On the buckling behavior of piezoelectric nanobeams: an exact solution. J Mech Sci Technol 29(8):3175–3182CrossRef
34.
Rahmani O, Noroozi Moghaddam MH (2014) On the vibrational behavior of piezoelectric nano-beams. Adv Mater Res 829:790–794CrossRef
35.
Rahmani O, Ghaffari S (2014) Frequency analysis of nano sandwich structure with nonlocal effect. Adv Mater Res 829:231–235CrossRef
36.
Rahmani O (2014) On the flexural vibration of pre-stressed nanobeams based on a nonlocal theory. Acta Phys Pol A 125(2):532–534CrossRef
37.
Rahmani O, Hosseini SAH, Noroozi Moghaddam MH, Fakhari Golpayegani I (2015) Torsional vibration of cracked nanobeam based on nonlocal stress theory with various boundary conditions: an analytical study. Int J Appl Mech 07(03):1550036. doi:10.​1142/​S175882511550036​2 CrossRef
38.
39.
40.
Rahmani O, Pedram O (2014) Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory. Int J Eng Sci 77:55–70MathSciNetCrossRef
41.
42.
Eltaher M, Emam SA, Mahmoud F (2012) Free vibration analysis of functionally graded size-dependent nanobeams. Appl Math Comput 218(14):7406–7420MathSciNetMATH
43.
Kiani K (2010) Longitudinal and transverse vibration of a single-walled carbon nanotube subjected to a moving nanoparticle accounting for both nonlocal and inertial effects. Phys E 42(9):2391–2401MathSciNetCrossRef
44.
Şimşek M (2010) Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory. Phys E 43(1):182–191CrossRef
45.
46.
Pourseifi M, Rahmani O, Hoseini SAH (2015) Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories. Meccanica 50(5):1351–1369MathSciNetCrossRefMATH
47.
Pirmohammadi A, Pourseifi M, Rahmani O, Hoseini S (2014) Modeling and active vibration suppression of a single-walled carbon nanotube subjected to a moving harmonic load based on a nonlocal elasticity theory. Appl Phys A 117(3):1547–1555CrossRef
Metadaten
Titel
Exact solution for axial and transverse dynamic response of functionally graded nanobeam under moving constant load based on nonlocal elasticity theory
verfasst von
S. A. H. Hosseini
O. Rahmani
Publikationsdatum
22.07.2016
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0491-2

Weitere Artikel der Ausgabe 6/2017

Meccanica 6/2017 Zur Ausgabe

OriginalPaper

Free vibration of carbon nanotube reinforced composite plate on point Supports using Lagrangian multipliers

OriginalPaper

Buckling analysis of cylindrical thin-shells using strain gradient elasticity theory

OriginalPaper

The influence of a magnetic field on the mechanical behavior of a fluid interface

OriginalPaper

Virtual displacements principle, existence and uniqueness for elastic no tension bodies

Brief Notes and Discussions

Comments on “Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel using DTM” by J.C. Umavathi and M. Shekar

OriginalPaper

Design, manufacturing, and flight testing of a fixed wing micro air vehicle with Zimmerman planform

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise