Measuring vibration characteristics at large amplitude region of materials for high power ultrasonic vibration system

Nakamura, Kentaro; Kakihara, Kiyotsugu; Kawakami, Masahiko; Ueha, Sadayuki

doi:10.1016/s0041-624x(99)00049-9

Cited by 13 publications

(8 citation statements)

References 2 publications

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Section: Discussionmentioning

confidence: 99%

“…The method described in the previous section was adapted to torsional vibration and the quality factors of various types of material were measured as functions of vibration stress. 62) The peak stored reactive energy in Eq. ( 24) was represented by the kinetic energy calculated from the vibration velocity amplitude.…”

Section: Strain Dependence Of Q-factor On Vibration Strainmentioning

confidence: 99%

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Evaluation methods for materials for power ultrasonic applications

Nakamura

2020

Jpn. J. Appl. Phys.

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This paper is focused on evaluation methods for materials at high amplitudes of ultrasonic vibrations. First, basic concepts on piezoelectric ultrasonic transducers utilized in power applications are introduced as well as horns and vibration converters. Second, an electrical equivalent circuit model of piezoelectric transducers is described. Then, a standard method to measure the output acoustic power of ultrasonic transducer is demonstrated. Third, the electromechanical coupling factor and quality factor are defined. The last half of this paper is dedicated to the transient method and quality factor measurement under high vibration strain. The quality factor and piezoelectric constant of piezoelectric ceramics are discussed as functions of vibration strain with the transient method. Next, an evaluation method for the quality factor of non-piezoelectric materials is proposed on the basis of the definition of quality factor. Ultrasonic characteristics of several metals and polymers are explored using the proposed method.

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Section: Discussionmentioning

confidence: 99%

Section: Strain Dependence Of Q-factor On Vibration Strainmentioning

confidence: 99%

Evaluation methods for materials for power ultrasonic applications

Nakamura

2020

Jpn. J. Appl. Phys.

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“…After these operations, the resonant terms , 2 , and 3 2 will remain in (21), and the equation is simplified tȯ…”

Section: Semianalytical Solution Using Cnfm Methodsmentioning

confidence: 99%

“…Han and Zhang [2] designed a doubly clamped microresonator based on the large amplitude vibration model. Furthermore, in the experiments, several measurement methods for the nonlinear vibration of slender beams were proposed [21,22].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature

Zhao

Zhang

et al. 2018

Mathematical Problems in Engineering

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Mechanical nonlinear vibration of slender structures, such as beams, strings, rods, plates, and even shells occurs extensively in a variety of areas, spanning from aerospace, automobile, cranes, ships, offshore platforms, and bridges to MEMS/NEMS. In the present study, the nonlinear vibration of an elastic string with large amplitude and large curvature has been systematically investigated. Firstly, the mechanics model of the string undergoing strong geometric deformation is built based on the Hamilton principle. The nonlinear mode shape function was used to discretize the partial differential equation into ordinary differential equation. The modified complex normal form method (CNFM) and the finite difference scheme are used to calculate the critical parameters of the string vibration, including the time history diagram, configuration, total length, and fundamental frequency. It is shown that the calculation results from these two methods are close, which are different with those from the linear equation model. The numerical results are also validated by our experiment, and they take excellent agreement. These analyses may be helpful to engineer some soft materials and can also provide insight into the design of elementary structures in sensors, actuators and resonators, etc.

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“…20) Nakamura et al compared the loss and kinetic energies of different materials under torsional vibration and obtained the relationship between the quality factor and the maximum strain of various non-metallic materials. 21) Combined with Nakamura's method, Wu et al calculated the quality factors of different polymers under bending vibration and found that the mechanical quality factor of polyphenylene sulfide (PPS) could reach 460 when the strain was smaller than 0.005% and could be maintained at a high level under a higher strain. 22) With the low loss factor and high Young's modulus feature, PPS is suitable for transducers' front heads among various non-metallic materials.…”

Section: Introductionmentioning

confidence: 99%

Langevin transducer with a stepped polymer horn

Zheng

et al. 2021

Jpn. J. Appl. Phys.

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Here, polyphenylene sulfide (PPS) with high Young's modulus and low loss was used as the front head material of a Langevin transducer for highfrequency vibration of mechanical antennas. In this study, transducer 1# with the front head and rear end made of PPS and steel, respectively, and transducer 2# with both the front head and rear end made of PPS, are designed and fabricated. Tests demonstrate that when the transducer's size is fixed and the front head is made of PPS, a greater vibration amplitude of the front head surface and the amplitude-to-voltage ratio can be obtained when the rear end is made of steel. The highest temperature of the two transducers is located at the highest strain area, consistent with the theoretical calculation. Besides, the PPS-based transducer's bandwidth is relatively large, conducive to the transmission of more signals.

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Measuring vibration characteristics at large amplitude region of materials for high power ultrasonic vibration system

Cited by 13 publications

References 2 publications

Evaluation methods for materials for power ultrasonic applications

Evaluation methods for materials for power ultrasonic applications

Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature

Langevin transducer with a stepped polymer horn

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