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Microsystem Technologies
Erschienen in: Microsystem Technologies 10/2017

11.01.2017 | Technical Paper

Vibrations of fluid conveying microbeams under non-ideal boundary conditions

verfasst von: Duygu Atcı, Süleyman Murat Bağdatlı

Erschienen in: Microsystem Technologies | Ausgabe 10/2017

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Abstract

This study aimed to present the effects of non-ideal boundary conditions (BCs) on fundamental parametric resonance behavior of fluid conveying clamped microbeams. Non-ideal BCs are modelled by using the weighting factor (k). Equations of motion are obtained by using the Hamilton’s Principle. A perturbation technique, method of multiple scales, is applied to solve the non-linear equations of motions. In this study, frequency-response curves of fundamental parametric resonance are plotted and the effects of non-ideal BCs are shown. Besides, instability areas of microbeams under ideal and non-ideal BCs are investigated by considering different system parameters. Numerical results show that instability areas significantly changed by the effect of non-ideal BCs.
Vorheriger Artikel Using serrated edges to control fluid front motion in microfluidic devices
Nächster Artikel Modeling, design and analysis of a micro flying slider in near-field optical storage system

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Literatur
Akgöz B, Civalek Ö (2012) Longitudinal vibration analysis for microbars based on strain gradient elasticity theory. J Vib Control 0(0):1–11MATH
Akgöz B, Civalek Ö (2013) Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory. Compos Struct 98:314–322CrossRef
Akgöz B, Civalek Ö (2014) A new trigonometric beam model for strain gradient microbeams. Int J Mech Sci 81:88–94CrossRef
Bağdatlı SM, Uslu B (2015) Free vibration analysis of axially moving beam under non-ideal conditions. Struct Eng Mech 54(3):597–605CrossRef
Bağdatlı SM, Özkaya E, Öz HR (2013) Dynamics of axially accelerating beams with multiple supports. Nonlinear Dyn 74(1–2):237–255MathSciNetMATH
Baohui L, Hangshan G, Yongshou L, Zhufeng Y (2012) Free vibration analysis of micro pipe conveying fluid by wave method. Results Phys 2:104–109CrossRef
Chakraborty G, Mallik AK, Hatwal H (1998) Non-linear vibration of a travelling beam. Int J Nonlinear Mech 34:655–670CrossRefMATH
Chong ACM, Lam DCC (1999) Strain gradient plasticity effect in indentation hardness of polymers. J Mater Res 14:4103–4110CrossRef
Dai HL, Wang YK, Wang L (2015a) Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory. Int J Eng Sci 94:103–112MathSciNetCrossRef
Dai HL, Wang L, Ni Q (2015b) Dynamics and pull-in instability of electrostatically actuated microbeams conveying fluid. Microfluid Nanofluid 18:49–55CrossRef
Ekici HO, Boyacı H (2007) Effects of non-ideal boundary conditions on vibrations of micro beams. J Vib Control 13(9–10):1369–1378MathSciNetCrossRefMATH
Ellis SRW, Smith CW (1968) A thin plate analysis and experimental evaluation of couple stress effects. Exp Mech 7:372–380CrossRef
Fleck NA, Muller GM, Ashby MF, Hutchinson JW (1994) Strain gradient plasticity: theory and experiment. Acta Metall Mater 42:475–487CrossRef
Griffiths DJ (1981) Introduction to electrodynamics. Prentice Hall, Englewood Cliffs
Ibrahim RA (2010) Overview of mechanics of pipes conveying fluids-Part I: fundamental studies. J Pressure Vessel Technol 132:034001CrossRef
Ibrahim RA (2011) Mechanics of pipes conveying fluids-Part II: applications and fluid elastic problems. J Pressure Vessel Technol 133:024001CrossRef
Kahrobaiyan MH, Asghari M, Hoore M, Ahmadian T (2012) Nonlinear size-dependent forced vibrational behavior of microbeams based on a non-classical continuum theory. J Vib Control 1(1):1–16MathSciNetMATH
Kesimli A, Özkaya E, Bağdatlı SM (2015) Nonlinear vibrations of spring-supported axially moving string. Nonlinear Dyn 81:1523–1534MathSciNetCrossRefMATH
Khajehpour S, Azadi V (2015) Vibration suppression of a rotating flexible cantilever pipe conveying fluid using piezoelectric layers. Lat Am J Solids Struct 12:1042–1060CrossRef
Lam DCC, Yang F, Chong ACM, Wang J, Tong P (2003) Experiments and theory in strain gradient elasticity. J Mech Phys Solids 51:1477–1508CrossRefMATH
Lee J (2013) Free vibration analysis of beams with non-ideal clamped boundary conditions. J Mech Sci Technol 27(2):297–303CrossRef
Ma Q, Clarke DR (1995) Size dependent hardness of silver single crystals. J Mater Res 10:853–863CrossRef
McFarland AW, Colton JS (2005) Role of material microstructure in plate stiffness with relevance to microcantilever sensors. J Micromech Microeng 15:1060–1067CrossRef
Nayfeh AH (1981) Introduction to perturbation techniques. Wiley, New YorkMATH
Ni Q, Zhang ZL, Wang L (2011) Application of the differential transformation method to vibration analysis of pipes conveying fluid. Appl Math Comput 217:7028–7038MathSciNetMATH
Öz HR (2001) Non-linear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity. Int J Non-Linear Mech 36:1031–1039CrossRefMATH
Öz HR, Evrensel CA (2002) Natural frequencies of tensioned pipes conveying fluid and carrying a concentrated mass. J Sound Vib 250(2):368–377CrossRef
Öz HR, Pakdemirli M, Boyacı H (2001) Non-linear vibrations and stability of an axially moving beam with time-dependent velocity. Int J Non-Linear Mech 36:107–115CrossRefMATH
Paidoussis MP (1998) Fluid-structure interactions: slender structures and axial flow, vol 1. Elsevier Academic Press, London
Paidoussis MP (2003) Fluid-structure interactions: slender structures and axial flow, vol 2. Elsevier Academic Press, London
Paidoussis MP, Li GX (1993) Pipes conveying fluid: a model dynamical problem. J Fluids Struct 7:137–204CrossRef
Paidoussis MP, Grinevich E, Adamovic D, Semler C (2002) Linear and nonlinear dynamics of cantilevered cylinders in axial flow. Part I Physical Dynamics. J Fluids Struct 16:691–713CrossRef
Paidoussis MP, Semler C, Wadham-Gagnon M, Saaid S (2007) Dynamics of cantilevered pipes conveying fluid. Part II Dynamics of system with intermediate spring support. J Fluids Struct 23:569–587CrossRef
Pakdemirli M, Boyacı H (2001) Vibrations of a stretched beam with non-ideal boundary conditions. Math Comput Appl 6(3):217–220MATH
Pakdemirli M, Boyacı H (2002) Effect of non-ideal boundary conditions on the vibrations of continuous systems. J Sound Vib 249(4):815–823CrossRef
Pakdemirli M, Boyacı H (2003) Non-linear vibrations of a simple-simple beam with a non-ideal support in between. J Sound Vib 268:331–341CrossRefMATH
Park SK, Gao X-L (2006) Bernoulli–Euler beam model based on a modified couple stress theory. J Micromech Microeng 16:2355–2359CrossRef
Stolken JS, Evans AG (1998) Microbend test method for measuring the plasticity length scale. Acta Mater 46:5109–5115CrossRef
Tang M, Ni Q, Wang L, Luo Y, Wang Y (2014) Size-dependent vibration analysis of a microbeam in flow based on modified couple stress theory. Int J Eng Sci 85:20–30CrossRef
Thurman AL, Mote CD (1969) Free, periodic, nonlinear oscillations of an axially moving strip. J Appl Mech 36:3CrossRefMATH
Wang L (2010) Size-dependent vibration characteristics of fluid-conveying micro tubes. J Fluids Struct 26:675–684CrossRef
Wang L, Gan J, Ni Q (2013a) Natural frequency analysis of fluid-conveying pipes in the ADINA system. J Phys Conf Ser 448:012014CrossRef
Wang L, Liu HT, Ni Q, Wu Y (2013b) Flexural vibrations of micro scale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. Int J Eng Sci 71:92–101CrossRef
Yang F, Chong ACM, Lam DCC, Tong P (2002) Couple stress based strain gradient theory for elasticity. Int J Solids Struct 39:2731–2743CrossRefMATH
Metadaten
Titel
Vibrations of fluid conveying microbeams under non-ideal boundary conditions
verfasst von
Duygu Atcı
Süleyman Murat Bağdatlı
Publikationsdatum
11.01.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 10/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-016-3255-y

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