Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance

Yan, Yingming; Dong, Xiaoshi; Huang, Lei; Moskovtsev, Kirill; Chan, H. B.

doi:10.1103/physrevx.12.031003

Cited by 7 publications

(1 citation statement)

References 67 publications

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“…The longitudinal mode typically has a higher resonant frequency compared to bending or transverse modes, and the voltage amplitude at the resonant frequency of the longitudinal mode is usually higher than other modes due to more efficient energy transfer in the longitudinal direction [47][48][49]. Also, the voltage might shift significantly at the resonant frequency [50].…”

Section: Transducer Calibration At Resonant Frequencymentioning

confidence: 99%

Design optimization and experimental verification of ultrasonic stack for micro hot embossing of polymers

Abdel-Aleem,

Fath El-Bab,

Yoshino

et al. 2024

J. Micromech. Microeng.

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Ultrasonic micro hot embossing (UMHE) is a prominent technique used in numerous sectors to produce micro parts since it is cheaper, faster, and more accurate. Amplitude uniformity is a crucial parameter in UMHE in order to manufacture micro parts with accurate dimensions and high-quality surfaces, even though limited research has been conducted on the uniformity of ultrasonic amplitude at the horn face during the embossing process. This paper presents an experimental and numerical study for designing an ultrasonic transducer and horn tailored to the micro hot embossing of polymer micro parts. A finite element (FE) simulation model combined with the Taguchi method has been developed to optimize the horn geometry and maximum amplitude uniformity. The Taguchi orthogonal array of 25 design runs has been generated and simulated using the developed FE modal analysis model, and then the optimized geometry was used to fabricate the horn. Applied torque and operating time calibrate and evaluate the transducer vibration characteristics. Experimental and simulation results revealed that the fabricated ultrasonic transducer and horn of a straight microfeature has a natural frequency of 28.8 kHz and has an 11 µm average peak-to-peak amplitude with 0.963 amplitude homogeneity along the microfeature face. The achieved frequency separation was greater than 0.85 kHz, whereas the gain ratio was 1.2. The design methodology developed in this paper showed great potential and has been numerically validated for various microfeature shapes across the horn face. Consequently, it can be applied to various ultrasonic applications beyond UMHE.

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Section: Transducer Calibration At Resonant Frequencymentioning

confidence: 99%

Design optimization and experimental verification of ultrasonic stack for micro hot embossing of polymers

Abdel-Aleem,

Fath El-Bab,

Yoshino

et al. 2024

J. Micromech. Microeng.

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Controllable branching of robust response patterns in nonlinear mechanical resonators

et al. 2023

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In lieu of continuous time active feedback control in complex systems, nonlinear dynamics offers a means to generate desired long-term responses using short-time control signals. This type of control has been proposed for use in resonators that exhibit a plethora of complex dynamic behaviors resulting from energy exchange between modes. However, the dynamic response and, ultimately, the ability to control the response of these systems remains poorly understood. Here, we show that a micromechanical resonator can generate diverse, robust dynamical responses that occur on a timescale five orders of magnitude larger than the external harmonic driving and these responses can be selected by inserting small pulses at specific branching points. We develop a theoretical model and experimentally show the ability to control these response patterns. Hence, these mechanical resonators may represent a simple physical platform for the development of springboard concepts for nonlinear, flexible, yet robust dynamics found in other areas of physics, chemistry, and biology.

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Beating Ringdowns of Near-Degenerate Mechanical Resonances

de Jong,

Cupertino,

Shin

et al. 2023

Phys. Rev. Applied

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Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance

Cited by 7 publications

References 67 publications

Design optimization and experimental verification of ultrasonic stack for micro hot embossing of polymers

Design optimization and experimental verification of ultrasonic stack for micro hot embossing of polymers

Controllable branching of robust response patterns in nonlinear mechanical resonators

Beating Ringdowns of Near-Degenerate Mechanical Resonances

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