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Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor.

Zhang Y, Zhao YP - Sensors (Basel) (2015)

Bottom Line: Extra instruments are also required.The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed.Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China. zhangyin@lnm.imech.ac.cn.

ABSTRACT
The mass sensing superiority of a micro-/nano-mechanical resonator sensor over conventional mass spectrometry has been, or at least is being firmly established. Because the sensing mechanism of a mechanical resonator sensor is the shifts of resonant frequencies, how to link the shifts of resonant frequencies with the material properties of an analyte formulates an inverse problem. Besides the analyte/adsorbate mass, many other factors, such as position and axial force, can also cause the shifts of resonant frequencies. The in situ measurement of the adsorbate position and axial force is extremely difficult if not impossible, especially when an adsorbate is as small as a molecule or an atom. Extra instruments are also required. In this study, an inverse problem of using three resonant frequencies to determine the mass, position and axial force is formulated and solved. The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed. Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.

No MeSH data available.


Related in: MedlinePlus

The variations of the first three resonant frequencies as the axial load() varies and. At, the first resonant frequency() becomes zero, which indicates buckling.
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sensors-15-14871-f002: The variations of the first three resonant frequencies as the axial load() varies and. At, the first resonant frequency() becomes zero, which indicates buckling.

Mentions: Many mechanical resonators are the clamped-clamped (C-C) beam structure [3,4,6,19], which has the highest resonant frequencies among all beam structures. Here, the C-C beam is studied. Figure 2 examines how the first three resonant frequencies vary as the axial load(β) changes. In Figure 2, there is no adsorbate, i.e.,α = 0 is set. Clearly, all of the resonant frequencies increase monotonically as β increases. At, the first resonant frequency() is zero, which indicates buckling. If a closer look is taken, we can find that the different resonant frequencies vary differently as the axial load changes. For example, when = 0, the three resonant frequencies are given by Equation (6) as = 22.3733, = 61.6728 and = 120.9034; at = 10, the three resonant frequencies are = 24.9591, = 65.2996 and = 124.9291. The corresponding frequency change (defined as) and its percentage (defined as) are: = 2.5858 (11.56%), = 3.6268 (5.88%) and = 4.0257 (3.33%). That different resonant frequency has different sensitivity to the axial load has been noticed [50] and used as a mechanism to detect the surface stress inside a micro-/nano-structure [13].


Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor.

Zhang Y, Zhao YP - Sensors (Basel) (2015)

The variations of the first three resonant frequencies as the axial load() varies and. At, the first resonant frequency() becomes zero, which indicates buckling.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4541812&req=5

sensors-15-14871-f002: The variations of the first three resonant frequencies as the axial load() varies and. At, the first resonant frequency() becomes zero, which indicates buckling.
Mentions: Many mechanical resonators are the clamped-clamped (C-C) beam structure [3,4,6,19], which has the highest resonant frequencies among all beam structures. Here, the C-C beam is studied. Figure 2 examines how the first three resonant frequencies vary as the axial load(β) changes. In Figure 2, there is no adsorbate, i.e.,α = 0 is set. Clearly, all of the resonant frequencies increase monotonically as β increases. At, the first resonant frequency() is zero, which indicates buckling. If a closer look is taken, we can find that the different resonant frequencies vary differently as the axial load changes. For example, when = 0, the three resonant frequencies are given by Equation (6) as = 22.3733, = 61.6728 and = 120.9034; at = 10, the three resonant frequencies are = 24.9591, = 65.2996 and = 124.9291. The corresponding frequency change (defined as) and its percentage (defined as) are: = 2.5858 (11.56%), = 3.6268 (5.88%) and = 4.0257 (3.33%). That different resonant frequency has different sensitivity to the axial load has been noticed [50] and used as a mechanism to detect the surface stress inside a micro-/nano-structure [13].

Bottom Line: Extra instruments are also required.The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed.Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China. zhangyin@lnm.imech.ac.cn.

ABSTRACT
The mass sensing superiority of a micro-/nano-mechanical resonator sensor over conventional mass spectrometry has been, or at least is being firmly established. Because the sensing mechanism of a mechanical resonator sensor is the shifts of resonant frequencies, how to link the shifts of resonant frequencies with the material properties of an analyte formulates an inverse problem. Besides the analyte/adsorbate mass, many other factors, such as position and axial force, can also cause the shifts of resonant frequencies. The in situ measurement of the adsorbate position and axial force is extremely difficult if not impossible, especially when an adsorbate is as small as a molecule or an atom. Extra instruments are also required. In this study, an inverse problem of using three resonant frequencies to determine the mass, position and axial force is formulated and solved. The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed. Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.

No MeSH data available.


Related in: MedlinePlus