nach oben

Meccanica

Erschienen in:

01.05.2015

Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories

verfasst von: M. Pourseifi, O. Rahmani, S. A. H. Hoseini

Erschienen in: Meccanica | Ausgabe 5/2015

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

The active vibration control of nanotubes under action of a moving nanoscale particle is carried out using nonlocal elasticity theory of Eringen. The nanotube is simulated by an equivalent continuum structure under simply supported boundary conditions within the framework of nonlocal Rayleigh as well as Timoshenko beam theory. A Dirac-delta function is applied to model the location of the moving mass along the nanotube as well as its inertial effects. In the following a linear classical optimal control algorithm with a time varying gain matrix and displacement-velocity feedback is applied to vibration suppression in nanotube structure. The effects of the moving nanoparticle velocity, slenderness ratio of nanotube and small scale effect parameter on the dynamic deflection are studied in some detail for both the Rayleigh and Timoshenko theories. Finally the proficiency of the control algorithm in suppressing the response of the nanostructure under the effect of moving nanoparticle with different number of controlled modes and control forces is studied. The results of the present work can be used as a benchmark in future studies of nanomachines and nanosystems.

Vorheriger Artikel Impregnated porous bearings textured with a pocket on sliding surfaces: comparison of h-boron nitride with graphite and molybdenum disulphide up to 150 °C

Nächster Artikel Dynamical behaviour of pneumatic artificial muscles

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

Shirai Y, Morin JF, Sasaki T, Guerrero JM, Tour JM (2006) Recent progress on nanovehicles. Chem Soc Rev 35(11):1043–1055. doi:10.1039/b514700j CrossRef

Lipowsky R, Klumpp S (2005) ‘Life is motion’: multiscale motility of molecular motors. Phys A 352(1):53–112. doi:10.1016/j.physa.2004.12.034 CrossRef

Konstas K, Langford SJ, Latter MJ (2010) Advances towards synthetic machines at the molecular and nanoscale level. Int J Mol Sci 11(6):2453–2472. doi:10.3390/ijms11062453 CrossRef

Porto M, Urbakh M, Klafter J (2000) Atomic scale engines: cars and wheels. Phys Rev Lett 84(26):6058CrossRefADS

Regan B, Aloni S, Ritchie R, Dahmen U, Zettl A (2004) Carbon nanotubes as nanoscale mass conveyors. Nature 428(6986):924–927CrossRefADS

Parmeggiani A, Schmidt C (2004) Micromechanics of molecular motors: experiments and theory. In: Deutsch A, Howard J, Falcke M, Zimmermann W (eds) Function and regulation of cellular systems. Mathematics and biosciences in interaction. Birkhäuser Basel, pp 151–176. doi:10.1007/978-3-0348-7895-1_15

Jia L, Moorjani SG, Jackson TN, Hancock WO (2004) Microscale transport and sorting by kinesin molecular motors. Biomed Microdev 6(1):67–74CrossRef

Shirai Y, Osgood AJ, Zhao Y, Yao Y, Saudan L, Yang H, Yu-Hung C, Alemany LB, Sasaki T, Morin J-F (2006) Surface-rolling molecules. J Am Chem Soc 128(14):4854–4864CrossRef

Shirai Y, Osgood AJ, Zhao Y, Kelly KF, Tour JM (2005) Directional control in thermally driven single-molecule nanocars. Nano Lett 5(11):2330–2334CrossRefADS

10.

Hackney DD (2007) Processive motor movement. Science 316(5821):58–59CrossRef

11.

Marx A, Müller J, Mandelkow E-M, Hoenger A, Mandelkow E (2006) Interaction of kinesin motors, microtubules, and MAPs. J Muscle Res Cell Motil 27(2):125–137CrossRef

12.

Russell JT, Wang B, Král P (2012) Nanodroplet transport on vibrated nanotubes. J Phys Chem Lett. doi:10.1021/jz201614m

13.

Falvo M, Clary G, Taylor R, Chi V, Brooks F, Washburn S, Superfine R (1997) Bending and buckling of carbon nanotubes under large strain. Nature 389(6651):582–584CrossRefADS

14.

Nardelli MB, Yakobson B, Bernholc J (1998) Mechanism of strain release in carbon nanotubes. Phys Rev B 57(8):R4277CrossRefADS

15.

Sánchez-Portal D, Artacho E, Soler JM, Rubio A, Ordejón P (1999) Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys Rev B 59(19):12678CrossRefADS

16.

Ansari R, Mirnezhad M, Sahmani S (2013) An accurate molecular mechanics model for computation of size-dependent elastic properties of armchair and zigzag single-walled carbon nanotubes. Meccanica 48(6):1355–1367. doi:10.1007/s11012-012-9671-x CrossRefMATHMathSciNet

17.

Krishnan A, Dujardin E, Ebbesen T, Yianilos P, Treacy M (1998) Young’s modulus of single-walled nanotubes. Phys Rev B 58(20):14013CrossRefADS

18.

Yakobson BI, Brabec C, Bernholc J (1996) Nanomechanics of carbon tubes: instabilities beyond linear response. Phys Rev Lett 76(14):2511–2514CrossRefADS

19.

Arash B, Wang Q (2012) A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes. Comput Mater Sci 51(1):303–313. doi:10.1016/j.commatsci.2011.07.040 CrossRef

20.

Eringen AC (2002) Nonlocal continuum field theories. Springer, BerlinMATH

21.

Peddieson J, Buchanan GR, McNitt RP (2003) Application of nonlocal continuum models to nanotechnology. Int J Eng Sci 41(3):305–312CrossRef

22.

Aksencer T, Aydogdu M (2011) Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory. Phys E 43(4):954–959. doi:10.1016/j.physe.2010.11.024 CrossRef

23.

Ansari R, Shahabodini A, Rouhi H (2013) Prediction of the biaxial buckling and vibration behavior of graphene via a nonlocal atomistic-based plate theory. Compos Struct 95:88–94. doi:10.1016/j.compstruct.2012.06.026 CrossRef

24.

Aydogdu M (2009) A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration. Phys E 41(9):1651–1655. doi:10.1016/j.physe.2009.05.014 CrossRef

25.

Eltaher MA, Emam SA, Mahmoud FF (2013) Static and stability analysis of nonlocal functionally graded nanobeams. Compos Struct 96:82–88. doi:10.1016/j.compstruct.2012.09.030 CrossRef

26.

Ghorbanpour Arani A, Shajari AR, Amir S, Loghman A (2012) Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT, conveying fluid. Phys E 45:109–121. doi:10.1016/j.physe.2012.07.017 CrossRef

27.

Khodami Maraghi Z, Ghorbanpour Arani A, Kolahchi R, Amir S, Bagheri MR (2013) Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid. Compos B Eng 45(1):423–432. doi:10.1016/j.compositesb.2012.04.066 CrossRef

28.

Lee H-L, Chang W-J (2008) Free transverse vibration of the fluid-conveying single-walled carbon nanotube using nonlocal elastic theory. J Appl Phys 103(2):024302. doi:10.1063/1.2822099 CrossRefADS

29.

Narendar S, Roy Mahapatra D, Gopalakrishnan S (2011) Prediction of nonlocal scaling parameter for armchair and zigzag single-walled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation. Int J Eng Sci 49(6):509–522. doi:10.1016/j.ijengsci.2011.01.002 CrossRefMATHMathSciNet

30.

Reddy JN (2007) Nonlocal theories for bending, buckling and vibration of beams. Int J Eng Sci 45(2–8):288–307. doi:10.1016/j.ijengsci.2007.04.004 CrossRefMATH

31.

Roque CMC, Ferreira AJM, Reddy JN (2011) Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method. Int J Eng Sci 49(9):976–984. doi:10.1016/j.ijengsci.2011.05.010 CrossRefMATH

32.

Shen HS (2011) Nonlinear analysis of lipid tubules by nonlocal beam model. J Theor Biol 276(1):50–56. doi:10.1016/j.jtbi.2011.02.001 CrossRef

33.

Thai H-T (2012) A nonlocal beam theory for bending, buckling, and vibration of nanobeams. Int J Eng Sci 52:56–64. doi:10.1016/j.ijengsci.2011.11.011 CrossRefMathSciNet

34.

Thai H-T, Vo TP (2012) A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams. Int J Eng Sci 54:58–66. doi:10.1016/j.ijengsci.2012.01.009 CrossRefMathSciNet

35.

Ansari R, Ramezannezhad H (2011) Nonlocal Timoshenko beam model for the large-amplitude vibrations of embedded multiwalled carbon nanotubes including thermal effects. Phys E 43(6):1171–1178. doi:10.1016/j.physe.2011.01.024 CrossRef

36.

Ansari R, Rouhi H, Sahmani S (2011) Calibration of the analytical nonlocal shell model for vibrations of double-walled carbon nanotubes with arbitrary boundary conditions using molecular dynamics. Int J Mech Sci 53(9):786–792. doi:10.1016/j.ijmecsci.2011.06.010 CrossRef

37.

Arash B, Ansari R (2010) Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain. Physica E 42(8):2058–2064. doi:10.1016/j.physe.2010.03.028 CrossRefADS

38.

Aydogdu M, Filiz S (2011) Modeling carbon nanotube-based mass sensors using axial vibration and nonlocal elasticity. Phys E 43(6):1229–1234. doi:10.1016/j.physe.2011.02.006 CrossRef

39.

Claeyssen JR, Tsukazan T, Coppeti RD (2013) Nonlocal effects in modal analysis of forced responses with single carbon nanotubes. Mech Syst Signal Process 38(2):299–311. doi:10.1016/j.ymssp.2013.01.014 CrossRefADS

40.

Fang B, Zhen Y-X, Zhang C-P, Tang Y (2013) Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory. Appl Math Model 37(3):1096–1107. doi:10.1016/j.apm.2012.03.032 CrossRefMathSciNet

41.

Fazelzadeh SA, Ghavanloo E (2012) Nonlocal anisotropic elastic shell model for vibrations of single-walled carbon nanotubes with arbitrary chirality. Compos Struct 94(3):1016–1022. doi:10.1016/j.compstruct.2011.10.014 CrossRef

42.

Mehdipour I, Barari A, Kimiaeifar A, Domairry G (2012) Vibrational analysis of curved single-walled carbon nanotube on a Pasternak elastic foundation. Adv Eng Softw 48:1–5CrossRef

43.

Kiani K (2010) A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect. Int J Mech Sci 52(10):1343–1356. doi:10.1016/j.ijmecsci.2010.06.010 CrossRef

44.

Kiani K (2013) Vibration behavior of simply supported inclined single-walled carbon nanotubes conveying viscous fluids flow using nonlocal Rayleigh beam model. Appl Math Model 37(4):1836–1850. doi:10.1016/j.apm.2012.04.027 CrossRefMathSciNet

45.

Lee H-L, Chang W-J (2009) Vibration analysis of a viscous-fluid-conveying single-walled carbon nanotube embedded in an elastic medium. Phys E 41(4):529–532. doi:10.1016/j.physe.2008.10.002 CrossRef

46.

Lee H-L, Chang W-J (2010) Surface effects on frequency analysis of nanotubes using nonlocal Timoshenko beam theory. J Appl Phys 108(9):093503. doi:10.1063/1.3503853 CrossRefADSMathSciNet

47.

Lim CW, Li C, Yu JL (2012) Free torsional vibration of nanotubes based on nonlocal stress theory. J Sound Vib 331(12):2798–2808. doi:10.1016/j.jsv.2012.01.016 CrossRefADS

48.

Lu P, Lee HP, Lu C, Zhang PQ (2007) Application of nonlocal beam models for carbon nanotubes. Int J Solids Struct 44(16):5289–5300. doi:10.1016/j.ijsolstr.2006.12.034 CrossRefMATH

49.

Murmu T, Adhikari S (2011) Nonlocal vibration of carbon nanotubes with attached buckyballs at tip. Mech Res Commun 38(1):62–67. doi:10.1016/j.mechrescom.2010.11.004 CrossRefMATH

50.

Narendar S, Gopalakrishnan S (2009) Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes. Comput Mater Sci 47(2):526–538. doi:10.1016/j.commatsci.2009.09.021 CrossRef

51.

Wang B (2012) Dynamic analysis of embedded curved double-walled carbon nanotubes based on nonlocal Euler-Bernoulli Beam theory. Multidiscip Model Mater Struct 8(4):432–453. doi:10.1108/15736101211281470 CrossRefADS

52.

Wang CY, Zhang J, Fei YQ, Murmu T (2012) Circumferential nonlocal effect on vibrating nanotubules. Int J Mech Sci 58(1):86–90. doi:10.1016/j.ijmecsci.2012.03.009 CrossRef

53.

Yang J, Ke LL, Kitipornchai S (2010) Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. Phys E 42(5):1727–1735. doi:10.1016/j.physe.2010.01.035 CrossRef

54.

Wang CM, Zhang YY, He XQ (2007) Vibration of nonlocal Timoshenko beams. Nanotechnology 18(10):105401. doi:10.1088/0957-4484/18/10/105401 CrossRefADS

55.

Aydogdu M (2009) Axial vibration of the nanorods with the nonlocal continuum rod model. Phys E 41(5):861–864. doi:10.1016/j.physe.2009.01.007 CrossRef

56.

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 77:55–70

57.

Rahmani O, Noroozi Moghaddam MH (2014) On the vibrational behavior of piezoelectric nano-beams. Adv Mater Res 829:790–794

58.

Rahmani O, Ghaffari S (2014) Frequency analysis of nano sandwich structure with nonlocal effect. Adv Mater Res 829:231–235

59.

Rahmani O (2014) On the flexural vibration of pre-stressed nanobeams based on a nonlocal theory. Acta Physica Polonica A 125(2)

60.

Pirmohammadi AA, Pourseifi M, Rahmani O, Hoseini SAH (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 117:1547–1555. doi:10.1007/s00339-014-8592-z

61.

Li C, Lim CW, Yu JL, Zeng QC (2011) Analytical solutions for vibration of simply supported nonlocal nanobeams with an axial force. Int J Struct Stab Dyn 11(02):257–271. doi:10.1142/s0219455411004087 CrossRefMATHMathSciNet

62.

Mohammadi B, Ghannadpour SAM (2011) Energy approach vibration analysis of nonlocal Timoshenko beam theory. Proced Eng 10:1766–1771. doi:10.1016/j.proeng.2011.04.294 CrossRef

63.

Eltaher MA, Emam SA, Mahmoud FF (2012) Free vibration analysis of functionally graded size-dependent nanobeams. Appl Math Comput 218(14):7406–7420. doi:10.1016/j.amc.2011.12.090 CrossRefMATHMathSciNet

64.

Ke L-L, Wang Y-S (2012) Thermoelectric-mechanical vibration of piezoelectric nanobeams based on the nonlocal theory. Smart Mater Struct 21(2):025018. doi:10.1088/0964-1726/21/2/025018 CrossRefADSMathSciNet

65.

Ke L-L, Wang Y-S, Wang Z-D (2012) Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory. Compos Struct 94(6):2038–2047. doi:10.1016/j.compstruct.2012.01.023 CrossRef

66.

Murmu T, Adhikari S (2012) Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems. Eur J Mech A Solids 34:52–62. doi:10.1016/j.euromechsol.2011.11.010 CrossRefMathSciNet

67.

Şimşek M (2012) Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods. Comput Mater Sci 61:257–265. doi:10.1016/j.commatsci.2012.04.001 CrossRef

68.

Torabi K, Nafar Dastgerdi J (2012) An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model. Thin Solid Films 520(21):6595–6602. doi:10.1016/j.tsf.2012.06.063 CrossRefADS

69.

Eltaher MA, Alshorbagy AE, Mahmoud FF (2013) Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams. Compos Struct 99:193–201. doi:10.1016/j.compstruct.2012.11.039 CrossRef

70.

Behera L, Chakraverty S (2014) Free vibration of nonhomogeneous Timoshenko nanobeams. Meccanica 49(1):51–67. doi:10.1007/s11012-013-9771-2 CrossRefMATHMathSciNet

71.

Anjomshoa A (2013) Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory. Meccanica 48(6):1337–1353. doi:10.1007/s11012-012-9670-y CrossRefMATHMathSciNet

72.

Babaei H, Shahidi AR (2013) Free vibration analysis of quadrilateral nanoplates based on nonlocal continuum models using the Galerkin method: the effects of small scale. Meccanica 48(4):971–982. doi:10.1007/s11012-012-9646-y CrossRefMATHMathSciNet

73.

Karamooz Ravari MR, Shahidi AR (2013) Axisymmetric buckling of the circular annular nanoplates using finite difference method. Meccanica 48(1):135–144. doi:10.1007/s11012-012-9589-3 CrossRefMATHMathSciNet

74.

Karamooz Ravari MR, Talebi S, Shahidi AR (2014) Analysis of the buckling of rectangular nanoplates by use of finite-difference method. Meccanica 49(6):1443–1455. doi:10.1007/s11012-014-9917-x CrossRefMATHMathSciNet

75.

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):2391–2401. doi:10.1016/j.physe.2010.05.021 CrossRef

76.

Kiani K (2010) Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. Part I: theoretical formulations. Acta Mechanica 216(1–4):165–195. doi:10.1007/s00707-010-0362-1

77.

Kiani K (2010) Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. Part II: parametric study. Acta Mechanica 216(1–4):197–206. doi:10.1007/s00707-010-0363-0

78.

Kiani K, Mehri B (2010) Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories. J Sound Vib 329(11):2241–2264. doi:10.1016/j.jsv.2009.12.017 CrossRefADS

79.

Şimşek M (2010) Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory. Int J Eng Sci 48(12):1721–1732. doi:10.1016/j.ijengsci.2010.09.027 CrossRefMATH

80.

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):182–191. doi:10.1016/j.physe.2010.07.003 CrossRef

81.

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):4896–4914. doi:10.1016/j.jsv.2011.03.033 CrossRefADS

82.

Şimşek M (2011) Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle. Comput Mater Sci 50(7):2112–2123. doi:10.1016/j.commatsci.2011.02.017 CrossRef

83.

Ghorbanpour Arani A, Roudbari MA, Amir S (2012) Nonlocal vibration of SWBNNT embedded in bundle of CNTs under a moving nanoparticle. Phys B 407(17):3646–3653. doi:10.1016/j.physb.2012.05.043 CrossRefADS

84.

Kiani K, Wang Q (2012) On the interaction of a single-walled carbon nanotube with a moving nanoparticle using nonlocal Rayleigh, Timoshenko, and higher-order beam theories. Eur J Mech A Solids 31(1):179–202. doi:10.1016/j.euromechsol.2011.07.008 CrossRefMATHMathSciNet

85.

Burl JB (1998) Linear optimal control: H (2) and H (Infinity) methods. Addison-Wesley Longman Publishing Co., Inc., Redwood City

86.

Kwakernaak H, Sivan R (1972) Linear optimal control systems, vol 172. Wiley-Interscience, New YorkMATH

87.

Gupta S, Batra R (2008) Continuum structures equivalent in normal mode vibrations to single-walled carbon nanotubes. Comput Mater Sci 43(4):715–723CrossRef

88.

Eringen AC (1983) On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 54(9):4703–4710CrossRefADS

89.

Wang L, Hu H (2005) Flexural wave propagation in single-walled carbon nanotubes. Phys Rev B 71(19):195412CrossRefADS

90.

Wang Q, Han Q, Wen B (2008) Estimate of material property of carbon nanotubes via nonlocal elasticity. Adv Theor Appl Mechan 1(1):1–10

Titel: Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories
verfasst von: M. Pourseifi
O. Rahmani
S. A. H. Hoseini
Publikationsdatum: 01.05.2015
Verlag: Springer Netherlands
Erschienen in: Meccanica / Ausgabe 5/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-014-0096-6

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

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 5/2015

A self-similar solution for a strong shock wave in a mixture of a non-ideal gas and dust particles with radiation heat-flux

An effective sub-domain smoothed Galerkin method for free and forced vibration analysis

On the minimization of the exit profile curvature in extrusion through multi-hole dies: a methodology and some verifications

The constrained buckling problem of geometrically imperfect beams: a mathematical approach for the determination of the critical instability points

A single pair-of-sensors technique for geometry consistent sensing of acceleration vector fields in beam structures: damage detection and dissipation estimation by POD modes

An efficient finite element approach to examine the free vibration characteristics of liquid tankages in space launch vehicles

Premium Partner

Marktübersichten