Review of applications of self‐excited oscillations to highly sensitive vibrational sensors

Yabuno, Hiroshi

doi:10.1002/zamm.201900009

Cited by 15 publications

(3 citation statements)

References 69 publications

(92 reference statements)

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“…The unique ability to tailor the eigenvectors shape, for example, by tuning the veering or crossing frequencies, may allow to change the position of the specific (nth) beam of the array within the vector from the node where the displacement is close to zero up to locations where the modal amplitude is maximal. This feature could be beneficial in so-called "mode localization" based sensors [5,39,40], where the ratio between the modal amplitudes, rather than the frequency shifts, are monitored.…”

Section: Discussionmentioning

confidence: 99%

Modal Behavior of Microcantilevers Arrays with Tunable Electrostatic Coupling

Dick,

Krylov

2023

Actuators

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We analyse the spectral content and parametric resonant dynamics of an array of elastically and electrostatically coupled interdigitated micro cantilevers assembled into two identical half-arrays. In this uncommon arrangement, within each of the half-arrays, the beams are coupled only elastically. The half-arrays are intercoupled only electrostatically, through fringing fields. First, by using the reduced order (RO) model, we analyse the voltage-dependent evolution of the eigenvalues and the eigenvectors of the equivalent mass-spring system, starting from the small two, three and four beams arrays and up to large beams assemblies. We show that at the coupling voltages below a certain critical value, the shape of the eigenvectors, the frequencies of the veering and of the crossing are influenced by the electrostatic coupling and can be tuned by the voltage. Next, by implementing the assumed modes techniques we explore the parametric resonant behavior of the array. We show that in the case of the sub critical electrostatic coupling the actuating voltages required to excite parametric resonance in the damped system can be lower than in a strongly coupled array. The results of the work may inspire new designs of more efficient resonant sensors.

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Section: Discussionmentioning

confidence: 99%

Modal Behavior of Microcantilevers Arrays with Tunable Electrostatic Coupling

Dick,

Krylov

2023

Actuators

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“…measured object or sample. Regarding the way of the detection of frequency shifts, there are some types of vibration mechanism, external excitation [4][5][6], self-excited oscillation [7,8], parametric excitation [9,10], and so on. Also, there are a few methods of driving microcantilever, which are piezoelectrical [11,12], magnetical [13][14][15], and thermomechanical [16][17][18] actuation.…”

Section: Introductionmentioning

confidence: 99%

Experimental amplitude and frequency control of a self-excited microcantilever by linear and nonlinear feedback

Higuchi

Yabuno

Yamamoto

et al. 2022

J. Micromech. Microeng.

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In recent years, measurement methods that use resonators as microcantilevers have attracted attention because of their high sensitivity, high accuracy, and rapid response time. They have been widely utilized in mass sensing, stiffness sensing, and atomic force microscopy (AFM), among other applications. In all these methods, it is essential to accurately detect shifts in the natural frequency of the resonator caused by an external force from a measured object or sample. Experimental approaches based on self-excited oscillation enable the detection of these shifts even when the resonator is immersed in a high-viscosity environment. In the present study, we experimentally and theoretically investigate the nonlinear characteristics of a microcantilever resonator and their control by nonlinear feedback. We show that the steady-state response amplitude and the corresponding response frequency can be controlled by cubic nonlinear velocity feedback and cubic nonlinear displacement feedback, respectively. Furthermore, the amplitude and frequency of the steady-state self-excited oscillation can be controlled separately. These results will expand application of measurement methods that use self-excited resonators.

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“…vibratory machines [2], self-excited biped mechanisms [3], vibratory drilling [4], biosensor [5], pipe crawling robots [6], electrostatic field sensing [7], atomic force microscopy [8], vibrational sensors (mass sensor, viscometer, stiffness sensor) [9], nanoscale cutting [10], etc. Babitsky [2] found that the efficiency of many processes in vibratory and percussion machines like displacements of materials and parts, mixing, grinding, batching, separation, etc.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Feedback Synthesis and Control of Periodic, Quasiperiodic, Chaotic and Hyper-Chaotic Oscillations in Mechanical Systems

Kundu

Chatterjee

2022

Preprint

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Self-excited periodic, quasiperiodic and chaotic oscillations have many significant applications in engineering devices and processes. In the present paper a centralized nonlinear controller is proposed to artificially generate and control self-excited periodic, quasiperiodic, chaotic and hyper-chaotic oscillations of required characteristics in a fully-actuated n-DOF spring-mass-damper mechanical system. The analytical relations among the amplitude, frequency and controller parameters for minimum control energy have been obtained using the method of two-time scale. It is shown that the proposed control can generate modal and nonmodal self-excited periodic and quasiperiodic oscillations of desired amplitude and frequency for minimum control energy. The analytical results have been verified numerically with MATLAB SIMULINK. Bifurcation analysis and extensive numerical simulations reveal a region of multistability in the plane of control parameters, where system responses may be periodic, quasiperiodic, chaotic and hyper-chaotic depending on initial conditions. However, it has been shown that the probability of obtaining chaotic and hyper-chaotic oscillations are very high for a wide range of controller parameters. The procedures of controlling the amplitude, frequency and characteristics of chaotic oscillations are also discussed. The results of the present paper is expected to find applications in various macro and micro mechanical systems and applications.

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Review of applications of self‐excited oscillations to highly sensitive vibrational sensors

Cited by 15 publications

References 69 publications

Modal Behavior of Microcantilevers Arrays with Tunable Electrostatic Coupling

Modal Behavior of Microcantilevers Arrays with Tunable Electrostatic Coupling

Experimental amplitude and frequency control of a self-excited microcantilever by linear and nonlinear feedback

Nonlinear Feedback Synthesis and Control of Periodic, Quasiperiodic, Chaotic and Hyper-Chaotic Oscillations in Mechanical Systems

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