Volume 49 Issue 1
Feb.  2019
Turn off MathJax
Article Contents
YAN Han, ZHANG Wenming. Dynamics problems of micro/nano channel resonators for detection and characterization[J]. Advances in Mechanics, 2019, 49(1): 201903. doi: 10.6052/1000-0992-18-006
Citation: YAN Han, ZHANG Wenming. Dynamics problems of micro/nano channel resonators for detection and characterization[J]. Advances in Mechanics, 2019, 49(1): 201903. doi: 10.6052/1000-0992-18-006

Dynamics problems of micro/nano channel resonators for detection and characterization

doi: 10.6052/1000-0992-18-006
More Information
  • Author Bio:

    corresponding Author: † E-mail: wenmingz@sjtu.edu.cn

  • Corresponding author: ZHANG Wenming
  • Received Date: 2018-04-22
  • Publish Date: 2019-02-08
  • Micro/nano-channel mechanical resonators have ultra-high resonance frequency, quality factor, and sensitivity in liquid environment. Hence they are usually used for high-precision detection and characterization in liquid environments. These resonators have broad application prospects in the fields of biology, medicine, and chemical industry. The detection and characterization functions of micro/nano-channel mechanical are highly dependent on their dynamic characteristics. Such devices are coupled systems composed of multiple components, including resonant structure, internal fluid, detected object, external excitation and so on. As a result, the involved dynamic problems are much complicated, and they have become a hotspot and bottleneck in the research of resonant devices. In this paper, the research progress of micro/ nano-channel mechanical resonators is reviewed. The dynamic design principles for high-precision detection and characterization are summarized. The dynamic characteristics, including stability, frequency response characteristics, energy dissipation, frequency fluctuations and so on, are discussed in detail. The physical mechanism of different dynamics and its influence on the performance of the resonator are expounded. It can provide theoretical reference and technical support for deep understanding of the dynamic design problem of micro/nano-channel mechanical resonators and improve the dynamic performance of the devices. And it is of great significance for the design, manufacture, and application of ultra-high frequency and ultra-high sensitivity devices.

     

  • loading
  • [1]
    张文明, 闫寒, 彭志科, 孟光. 2017. 微纳机械谐振器能量耗散机理研究进展. 科学通报, 19: 2077-2093

    (Zhang W M, Yan H, Peng Z K, Meng G.2017. Research progress on energy dissipation mechanisms in micro- and nano-mechanical resonators. Chinese Science Bull, 19: 2077-2093).
    [2]
    Abbasnejad B, Shabani R, Rezazadeh G.2015. Stability analysis of a piezoelectrically actuated micro-pipe conveying fluid. Microfluidics and Nanofluidics, 19: 577-584.
    [3]
    Agache V, Blanco-Gomez G, Baleras F, Caillat P.2011. An embedded microchannel in a MEMS plate resonator for ultrasensitive mass sensing in liquid. Lab on A Chip, 11: 2598-2603.
    [4]
    Arlett J L, Roukes M L.2010. Ultimate and practical limits of fluid-based mass detection with suspended microchannel resonators. Journal of Applied Physics, 108: 084701.
    [5]
    Barton R A, Ilic B, Verbridge S S, Cipriany B R, Parpia J M, Craighead H G.2010. Fabrication of a Nanomechanical Mass Sensor Containing a Nanofluidic Channel. Nano Letters, 10: 2058-2063.
    [6]
    Beardslee L A, Addous A M, Heinrich S, Josse F, Dufour I, Brand O.2010. Thermal excitation and piezoresistive detection of cantilever in-plane resonance modes for sensing applications. Journal of Microelectromechanical Systems, 19: 1015-1017.
    [7]
    Belardinelli P, Ghatkesar M K, Staufer U, Alijani F.2017. Linear and non-linear vibrations of fluid-filled hollow microcantilevers interacting with small particles. International Journal of Non-Linear Mechanics, 93: 30-40.
    [8]
    Berger R, Delamarche E, Lang H P, Gerber C, Gimzewski J K, Meyer E, Guntherodt H J.1997. Surface stress in the self-assembly of alkanethiols on gold. Science, 276: 2021-2024.
    [9]
    Bryan A K, Hecht V C, Shen W, Payer K, Grover W H, Manalis S R.2014. Measuring single cell mass, volume, and density with dual suspended microchannel resonators. Lab on A Chip, 14: 569-576.
    [10]
    Burg T P, Godin M, Knudsen S M, Shen W, Carlson G, Foster J S, Babcock K, Manalis S R.2007. Weighing of biomolecules, single cells and single nanoparticles in fluid. Nature, 446: 1066-1069.
    [11]
    Burg T P, Manalis S R.2003. Suspended microchannel resonators for biomolecular detection. Applied Physics Letters, 83: 2698-2700.
    [12]
    Burg T P, Mirza A R, Milovic N, Tsau C H, Popescu G A, Foster J S, Manalis S R.2006. Vacuum-packaged suspended microchannel resonant mass sensor for biomolecular detection. Journal of Microelectromechanical Systems, 15: 1466-1476.
    [13]
    Burg T P, Sader J E, Manalis S R.2009. Nonmonotonic energy dissipation in microfluidic resonators. Physical Review Letters, 102: 228103.
    [14]
    Cermak N, Olcum S, Delgado F F, Wasserman S C, Payer K R, M AM, Knudsen S M, Kimmerling R J, Stevens M M, Kikuchi Y.2016. High-throughput measurement of single-cell growth rates using serial microfluidic mass sensor arrays. Nature Biotechnology, 34: 1052-1059.
    [15]
    Cherian S, Thundat T.2002. Determination of adsorption-induced variation in the spring constant of a microcantilever. Applied Physics Letters, 80: 2219-2221.
    [16]
    Cleland A N, Roukes M L.2002. Noise processes in nanomechanical resonators. Journal of Applied Physics, 92: 2758-2769.
    [17]
    Dai H L, Abdelkefi A, Wang L.2014. Modeling and nonlinear dynamics of fluid-conveying risers under hybrid excitations. International Journal of Engineering Science, 81: 1-14.
    [18]
    Dai H L, Wu P, Wang L.2017. Nonlinear dynamic responses of electrostatically actuated microcantilevers containing internal fluid flow. Microfluidics and Nanofluidics, 21: 162.
    [19]
    Dareing D W, Thundat T.2005. Simulation of adsorption-induced stress of a microcantilever sensor. Journal of Applied Physics, 97: 043526.
    [20]
    De S K, Aluru N.2004. Full-Lagrangian schemes for dynamic analysis of electrostatic MEMS. Journal of Microelectromechanical Systems, 13: 737-758.
    [21]
    Dohn S, Schmid S, Amiot F, Boisen A.2007. Mass and position determination of attached particles on cantilever based mass sensors. Review of Scientific Instruments, 78: 103303.
    [22]
    Ekinci K L, Yang Y T, Roukes M L.2004. Ultimate limits to inertial mass sensing based upon nanoelectromechanical systems. Journal of Applied Physics, 95: 2682-2689.
    [23]
    Folzer E, Khan T A, Schmidt R, Finkler C, Huwyler J, Mahler H C, Koulov A V.2015. Determination of the Density of Protein Particles Using a Suspended Microchannel Resonator. Journal of Pharmaceutical Sciences, 104: 4034-4040.
    [24]
    Fritz J, Baller M K, Lang H P, Rothuizen H, Vettiger P, Meyer E, Guntherodt H J, Gerber C, Gimzewski J K.2000. Translating biomolecular recognition into nanomechanics. Science, 288: 316-318.
    [25]
    Ghatkesar M K, Braun T, Barwich V, Ramseyer J P, Gerber C, Hegner M, Lang H P.2008. Resonating modes of vibrating microcantilevers in liquid. Applied Physics Letters, 92: 12.
    [26]
    Ghayesh MH, Farokhi H.2018. On the viscoelastic dynamics of fluid-conveying microtubes. International Journal of Engineering Science, 127: 186-200.
    [27]
    Godin M, Bryan A K, Burg T P, Babcock K, Manalis S R.2007. Measuring the mass, density, and size of particles and cells using a suspended microchannel resonator. Applied Physics Letters, 91: 123121.
    [28]
    Godin M, Delgado F F, Son S, Grover W H, Bryan A K, Tzur A, Jorgensen P, Payer K, Grossman A D, Kirschner M W.2010. Using buoyant mass to measure the growth of single cells. Nature Methods, 7: 387-390.
    [29]
    Green C P, Sader J E.1998. Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope. Journal of Applied Physics, 92: 6262-6274.
    [30]
    Hashem E, Khan M F, Kamaljit K, Thomas T.2016. Microfluidic cantilever detects bacteria and measures their susceptibility to antibiotics in small confined volumes. Nature Communications, 7: 12947.
    [31]
    He F, Dai H, Huang Z, Wang L.2017. Nonlinear dynamics of a fluid-conveying pipe under the combined action of cross-flow and top-end excitations. Applied Ocean Research, 62: 199-209.
    [32]
    Hwang K S, Eom K, Lee J H, Chun D W, Cha B H, Yoon D S, Kim T S, Park J H.2006. Dominant surface stress driven by biomolecular interactions in the dynamical response of nanomechanical microcantilevers. Applied Physics Letters, 89: 173905.
    [33]
    Jensen K, Kim K, Zettl A.2008a. An atomic-resolution nanomechanical mass sensor. Nature Nanotechnology, 3: 533.
    [34]
    Jensen K, Kim K, Zettl A.2008b. An atomic-resolution nanomechanical mass sensor. Nature Nanotechnology, 3: 533-537.
    [35]
    Johnson B N, Mutharasan R.2011. Persistence of bending and torsional modes in piezoelectric-excited millimeter-sized cantilever (PEMC) sensors in viscous liquids - 1 to 10 3 cP. Journal of Applied Physics, 109: 946.
    [36]
    Karabalin R B, Villanueva L G, Matheny M H, Sader J E, Roukes M L.2012. Stress-induced variations in the stiffness of micro- and nanocantilever beams. Physical Review Letters, 108: 236101.
    [37]
    Khan M F, Schmid S, Larsen P E, Davis Z J, Yan W, Stenby E H, Boisen A.2013. Online measurement of mass density and viscosity of pL fluid samples with suspended microchannel resonator. Sensors and Actuators B-Chemical, 185: 456-461.
    [38]
    Kim J, Song J, Kim K, Kim S, Song J, Kim N, Khan M F, Zhang L, Sader J E, Park K, Kim D, Thundat T, Lee J.2016. Hollow microtube resonators via silicon self-assembly toward subattogram mass sensing applications. Nano Letters, 16: 1537-1545.
    [39]
    Lachut M J, Sader J E.2007. Effect of surface stress on the stiffness of cantilever plates. Physical Review Letters, 99: 206102.
    [40]
    Lagowski J, Gatos H C, Sproles E S Jr.1975. Surface stress and the normal mode of vibration of thin crystals: GaAs. Photopiezoelectric effect. Applied Physics Letters, 26: 493-495.
    [41]
    Lee D, Kim S, Jung N, Thundat T, Jeon S.2009. Effects of gold patterning on the bending profile and frequency response of a microcantilever. Journal of Applied Physics, 106: 224104.
    [42]
    Lee I, Park K, Lee J.2012. Note: precision viscosity measurement using suspended microchannel resonators. Review of Scientific Instruments, 83: 116106.
    [43]
    Lee J, Bryan A K, Manalis S R.2011. High precision particle mass sensing using microchannel resonators in the second vibration mode. Review of Scientific Instruments, 82: 023704.
    [44]
    Lee J, Chunara R, Shen W, Payer K, Babcock K, Burg T P, Manalis S R.2011. Suspended microchannel resonators with piezoresistive sensors. Lab on A Chip, 11: 645-651.
    [45]
    Lee J, Shen W, Payer K, Burg T P, Manalis S R.2010. Toward attogram mass measurements in solution with suspended nanochannel resonators. Nano Letters, 10: 2537-2542.
    [46]
    Lei X W, Natsuki T, Shi J X, Ni Q Q.2013. An atomic-resolution nanomechanical mass sensor based on circular monolayer graphene sheet: Theoretical analysis of vibrational properties. Journal of Applied Physics, 113: 385.
    [47]
    Lu P, Lee H P, Lu C, O'Shea S J.2005. Surface stress effects on the resonance properties of cantilever sensors. Physical Review B, 72: 085405.
    [48]
    Marzban M, Packirisamy M, Dargahi J.2017. 3D suspended polymeric microfluidics (SPMF3) with flow orthogonal to bending (FOB) for fluid analysis through kinematic viscosity. Applied Sciences, 7: 1048.
    [49]
    McFarland A W, Poggi M A, Doyle M J, Bottomley L A, Colton J S.2005. Influence of surface stress on the resonance behavior of microcantilevers. Applied Physics Letters, 87: 053505.
    [50]
    Minhyuk Y, Lee I, Sangmin J, Jungchul L.2014. Facile phase transition measurements for nanogram level liquid samples using suspended microchannel resonators. IEEE Sensors Journal, 14: 781-785.
    [51]
    Modena M M, Wang Y, Riedel D, Burg T P.2014. Resolution enhancement of suspended microchannel resonators for weighing of biomolecular complexes in solution. Lab on A Chip, 14: 342-350.
    [52]
    Mojahedi M Z, M M. Ahmadian M T.2010. Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. Applied Mathematical Modelling, 34: 1032-1041.
    [53]
    Nayfeh A H, Younis M I, Abdel-Rahman E M.2005. Reduced-order models for MEMS applications. Nonlinear Dynamics, 41: 211-236.
    [54]
    Nayfeh A H, Younis M I, Abdel-Rahman E M.2007. Dynamic pull-in phenomenon in MEMS resonators. Nonlinear Dynamics, 48: 153-163.
    [55]
    Nejadnik M R, Jiskoot W.2015. Measurement of the average mass of proteins adsorbed to a nanoparticle by using a suspended microchannel resonator. Journal of Pharmaceutical Sciences, 104: 698-704.
    [56]
    Olcum S, Cermak N, Wasserman S C, Christine K S, Atsumi H, Payer K R, Shen W, Lee J, Belcher A M, Bhatia S N.2014. Weighing nanoparticles in solution at the attogram scale. Proceedings of the National Academy of Sciences of the United States of America, 111: 1310-1315.
    [57]
    Olcum S, Cermak N, Wasserman S C, Manalis S R.2015. High-speed multiple-mode mass-sensing resolves dynamic nanoscale mass distributions. Nature Communications, 6: 7070.
    [58]
    Paidoussis MP, 1998.Fluid-Structure Interactions: Slender Structures And Axial Flow. Academic Press.
    [59]
    Ramos D, Tamayo J, Mertens J, Calleja M, Zaballos A.2006. Origin of the response of nanomechanical resonators to bacteria adsorption. Journal of Applied Physics, 100: 106105.
    [60]
    Rhoads J F, Shaw S W, Turner K L.2006. The nonlinear response of resonant microbeam systems with purely-parametric electrostatic actuation. Journal of Micromechanics and Microengineering, 16: 890.
    [61]
    Rinaldi S, Prabhakar S, Vengallatore S, Paidoussis MP.2010. Dynamics of microscale pipes containing internal fluid flow: Damping, frequency shift, and stability. Journal of Sound and Vibration, 329: 1081-1088.
    [62]
    Sader J E.1998. Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope. Journal of Applied Physics, 84: 64-76.
    [63]
    Sader J E, Burg T P, Lee J, Manalis S R.2011. Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio. Physical Review E, 84: 026304.
    [64]
    Sader J E, Burg T P, Manalis S R.2010a. Energy dissipation in microfluidic beam resonators. Journal of Fluid Mechanics, 650: 215-250.
    [65]
    Sader J E, Lee J, Manalis S R.2010b. Energy dissipation in microfluidic beam resonators: Dependence on mode number. Journal of Applied Physics, 108: 114507.
    [66]
    Sansa M, Sage E, Bullard E C, Gely M, Alava T, Colinet E, Naik A K, Villanueva L G, Duraffourg L, Roukes M L, Jourdan G, Hentz S.2016. Frequency fluctuations in silicon nanoresonators. Nature Nanotechnology, 11: 552.
    [67]
    Sarid D, 1994. Scanning Force Microscopy: With Applications to Electric, Magnetic, and Atomic Forces. USA: Oxford University Press.
    [68]
    Setoodeh A, Afrahim S.2014. Nonlinear dynamic analysis of FG micro-pipes conveying fluid based on strain gradient theory. Composite Structures, 116: 128-135.
    [69]
    Son S, Grover W H, Burg T P, Manalis S R.2008. Suspended microchannel resonators for ultralow volume universal detection. Analytical Chemistry, 80: 4757-4760.
    [70]
    Tamayo J, Ramos D, Mertens J, Calleja M.2006. Effect of the adsorbate stiffness on the resonance response of microcantilever sensors. Applied Physics Letters, 89: 224104.
    [71]
    Vakilzadeh M, Vatankhah R, Eghtesad M.2017. Dynamics and vibration analysis of suspended microchannel resonators based on strain gradient theory. Microsystem Technologies, 24: 1-11.
    [72]
    Vig J R, Kim Y.1999. Noise in microelectromechanical system resonators. Ieee Transactions on Ultrasonics Ferroelectrics and Frequency Control, 46: 1558-1565.
    [73]
    Villanueva L G, Karabalin R B, Matheny M H, Kenig E, Cross M C, Roukes M L.2011. A Nanoscale Parametric Feedback Oscillator. Nano Letters, 11: 5054-5059.
    [74]
    Wang L.2010. Size-dependent vibration characteristics of fluid-conveying microtubes. Journal of Fluids and Structures, 26: 675-684.
    [75]
    Wang L, Liu H T, Ni Q, Wu Y.2013. Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. International Journal of Engineering Science, 71: 92-101.
    [76]
    Wang Y, Modena M M, Platen M, Schaap I A T, Burg TP.2015. Label-free measurement of amyloid elongation by suspended microchannel resonators. Analytical Chemistry, 87: 1821-1828.
    [77]
    Wang Y, Ni Q, Wang L, Luo Y, Yan H.2017a. Nonlinear impacting oscillations of pipe conveying pulsating fluid subjected to distributed motion constraints. Journal of Mechanics of Materials & Structures, 12: 563-578.
    [78]
    Wang Y, Wang L, Ni Q, Dai H, Yan H, Luo Y.2018. Non-planar responses of cantilevered pipes conveying fluid with intermediate motion constraints. Nonlinear Dynamics, 1-20.
    [79]
    Wang Y K, Qiao N I, Wang L, Yan H, Luo Y Y, Mechanics D O.2017b. Three-dimensional nonlinear dynamics of a cantilevered pipe conveying fluid subjected to loose constraints. Chinese Science Bulletin, 62: 4270-4277.
    [80]
    Weng Y, Delgado FF, Son S, Burg TP, Wasserman SC, Manalis SR.2011a. Mass sensors with mechanical traps for weighing single cells in different fluids. Lab on A Chip, 11: 4174-4180.
    [81]
    Weng Y, Delgado F F, Son S, Burg T P, Wasserman S C, Manalis S R.2011b. Mass sensors with mechanical traps for weighing single cells in different fluids. Lab on A Chip, 11: 4174.
    [82]
    William H. Grover A K B, Monica Diez-Silva, Subra Suresh, John M. Higgins, Scott R. Manalis.2011. Measuring single-cell density. Proceedings of the National Academy of Sciences of the United States of America, 108: 10992-10996.
    [83]
    Yan H, Zhang W M, Jiang H M, Hu K M.2017a. Pull-in effect of suspended microchannel resonator sensor subjected to electrostatic. Actuation. Sensors, 17: 114.
    [84]
    Yan H, Zhang W M, Jiang H M, Hu K M, Hong F J, Peng Z K, Meng G.2017b. A measurement criterion for accurate mass detection using vibrating suspended microchannel resonators. Journal of Sound and Vibration, 403: 1-20.
    [85]
    Yan H, Zhang W M, Jiang H M, Hu K M, Peng Z K, Meng G.2016. Dynamical characteristics of fluid-conveying microbeams actuated by electrostatic force. Microfluidics & Nanofluidics, 20: 137.
    [86]
    Yang C W, Ding R F, Lai S H, Liao H S, Lai W C, Huang K Y, Chang C S, Hwang I S.2013. Torsional resonance mode atomic force microscopy in liquid with Lorentz force actuation. Nanotechnology, 24: 305702.
    [87]
    Yin Z.2014. Detecting the stiffness and mass of biochemical adsorbates by a resonator sensor. Sensors and Actuators B: Chemical, 202: 286-293.
    [88]
    Zhang J, Meguid S.2016. Effect of surface energy on the dynamic response and instability of fluid-conveying nanobeams. European Journal of Mechanics-A/Solids, 58: 1-9.
    [89]
    Zhang W M, Yan H, Peng Z K, Meng G.2014. Electrostatic pull-in instability in MEMS/NEMS: A review. Sensors and Actuators A: Physical, 214: 187-218.
    [90]
    Zhang W M, Yan H, Jiang H M, Hu K M, Peng Z K, Meng G.2016. Dynamics of suspended microchannel resonators conveying opposite internal fluid flow: Stability, frequency shift and energy dissipation. Journal of Sound and Vibration, 368: 103-120.
    [91]
    Zhang Y.2013. Determining the adsorption-induced surface stress and mass by measuring the shifts of resonant frequencies. Sensors and Actuators a-Physical, 194: 169-175.
    [92]
    Zhang Y.2014. Detecting the stiffness and mass of biochemical adsorbates by a resonator sensor. Sensors and Actuators B-Chemical, 202: 286-293.
    [93]
    Zhang Y, Ren Q, Zhao Y P.2004. Modelling analysis of surface stress on a rectangular cantilever beam. Journal of Physics D-Applied Physics, 37: 2140-2145.
    [94]
    Zhang Y, Zhao Y P.2015. Mass and force sensing of an adsorbate on a beam resonator sensor. Sensors, 15: 14871-14886.
    [95]
    Zhang Y, Zhuo L J, Zhao H S.2013. Determining the effects of surface elasticity and surface stress by measuring the shifts of resonant frequencies. Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences, 469: 20130449.
    [96]
    Zhou X W, Dai H L, Wang L.2018. Dynamics of axially functionally graded cantilevered pipes conveying fluid. Composite Structures, 190: 112-118.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2395) PDF downloads(338) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return