Development of a two-dimensional piezoelectric traveling-wave generator

Lin, Yu‐Min; Hsu, Yu-Hsiang; Su, Wen-Chun; Kao, Yuan-Ting; Lee, Chih‐Kung

doi:10.1177/1045389x20943942

Cited by 4 publications

(8 citation statements)

References 17 publications

(14 reference statements)

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“…Since the piezoelectric crystalline of PZT is mm6 symmetry, it can be considered a transverse isotopic material in x-y plane with a z-axis in parallel with the poling direction. Applying Newton's second law [7][8][9], the governing equation can be written as [8]:…”

Section: Theorymentioning

confidence: 99%

Traveling wave characteristics on two-dimensional finite structures using Hilbert transform

Yang

Hsu

Lee

2023

Active and Passive Smart Structures and Integrated Systems XVII

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In this study, we develop a method to analyze traveling waves generated by two bending modes of a two-dimensional piezoelectric actuator. This actuator has a composite structure constructed by a stainless-steel plate and piezoelectric PZT sheets. A developed analytical model analyzed the characteristics and efficiency of the traveling waves generated by the superposition of different bending modes. Using the multi-integer frequency, two-mode (MIF-TM) driving method, a steady traveling wave can be generated using two driving frequencies with an integer multiple relationships and near two bending modes. The optimization of the driving parameters is conducted by developing a cost function using the Hilbert transform, in which the driving voltages and the phase difference between the two driving frequencies are used. Finally, this analysis method is verified by using the finite element method.

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Section: Theorymentioning

confidence: 99%

Traveling wave characteristics on two-dimensional finite structures using Hilbert transform

Yang

Hsu

Lee

2023

Active and Passive Smart Structures and Integrated Systems XVII

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“…Furthermore, as the quality factor of the piezoelectric bimorph was 80 with a damping ratio of 0.00625, the influence of the damping effect on the mathematical model using a thin plate was minimal. Based on these assumptions, we derived the governing equation of a 2D piezoelectric bimorph plate [19] using the theory of piezoelectric laminates [21]. It can be written as…”

Section: Analytical Formulation Of the Mif-tm Piezoelectric Traveling...mentioning

confidence: 99%

“…However, its fabrication can be costly due to the need to have precision control and further fine-tuning on the structure dimension. To use structural resonance for enhancing the efficiency of a traveling-wave type piezoelectric linear motor, we previously reported a twofrequency-two-mode (TFTM) method [19] and a gated twofrequency-two-mode (G-TFTM) method [20]. Both methods demonstrated that using two resonant vibrations, it is possible to generate traveling waves and to push an object.…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional piezoelectric traveling wave generator using a multi-integer frequency, two-mode method (MIF-TM)

Hsu¹,

Lin²,

Lee³

2021

Smart Mater. Struct.

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In this paper, we report a new method called a multi-integer frequency, two-mode (MIF-TM) to generate multi-directional traveling waves on a square plate. The uniqueness of this driving method is threefold. Firstly, as the two driving frequencies are at or near resonant frequencies of the two bending modes, the driving efficiency can be largely enhanced by using structural resonance. Secondly, as the two actuating areas can sufficiently induce traveling waves, each of them is driven by one of the two driving frequencies. It is possible to generate steady traveling waves by making the two driving frequencies possess a multi-integer relationship and with a phase difference. Thirdly, the direction of the traveling wave can be controlled to propagate toward either the x- or y-direction by designing the location and size of the actuating area. To assist in the design of the MIF-TM traveling wave generator, an analytical model was derived to depict the induction of the traveling waves. Using this analytical model, we designed a piezoelectric traveling wave generator with weight of 2.35 g, dimension of 45 × 45 × 0.4 mm piezoelectric bimorph with four designated electrode pairs. It was verified to be either in the positive or negative direction traveling wave as it was controlled by adjusting the phase difference between the two driving frequencies. Our experimental results demonstrated that the generated x-direction traveling wave can move a 0.3 g object at a speed of 1.48 mm s−1, and the generated y-direction travel wave can move this same object at a speed of 1.36 mm s−1. The design, numerical analysis, finite element analysis, and experimental studies are detailed in this paper.

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“…Nonetheless, the velocity of the traveling waves generated in these works could not be adjusted, leading to lower precision and accuracy. In our previous research [13,14], we adopted this method to a fixed platform, generating traveling waves in a structure, and pushing the above objects by friction. However, similar to other works, a moving velocity adjustment was implemented by a vibration amplitude which was controlled by a voltage amplitude.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional traveling wave type linear piezoelectric moving platform driven by a new two-frequency two-mode excitation method

Tai

Lee

2022

Smart Mater. Struct.

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The traveling waves of linear traveling wave type piezoelectric motors are not easy to stabilize due to its finite boundary structure. The traditional two-mode excitation method is a method which can excite two modes to generate traveling waves in a finite structure. However, the drawback of the traditional method is that it does not allow for adjustment of the final output velocity. Also, this method is characterized by having low efficiency. The velocity of the generated traveling waves is constant unless the excited modes are changed. In this paper, we propose a novel method, called a two-frequency two-mode excitation method which uses a piezoelectric actuator to simultaneously excite two modes to generate traveling waves. The two frequencies chosen possess a ratio where the excited frequencies are close to two resonant modes. In addition, the two excited frequencies are simultaneously an integer ratio to a specific frequency and have a least one common multiple as small as possible. This approach can generate stable traveling waves such that the velocity of the traveling waves can be adjusted by the two frequencies. Our theoretical predictions were validated by numerical calculations and experimental data. A Hilbert transform was used to optimize the traveling waves generated. A morphological opening was used to track the traveling wave trajectories. The obtained results show that this method can generate stable traveling waves where the wave velocity can be adjusted by mixing the frequency signals.

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Development of a two-dimensional piezoelectric traveling-wave generator

Cited by 4 publications

References 17 publications

Traveling wave characteristics on two-dimensional finite structures using Hilbert transform

Traveling wave characteristics on two-dimensional finite structures using Hilbert transform

A two-dimensional piezoelectric traveling wave generator using a multi-integer frequency, two-mode method (MIF-TM)

One-dimensional traveling wave type linear piezoelectric moving platform driven by a new two-frequency two-mode excitation method

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