Fundamentals of Vibration for Ultrasonic Motors

Zhao, Chunsheng

doi:10.1007/978-3-642-15305-1_4

Cited by 2 publications

(4 citation statements)

References 5 publications

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“…According to Reference [29], the functions ω mnf and w mnf (r, θ, t) under the condition of peripheral fixed support are consistent with those under the peripheral simply supported, as shown in Equation ( 9) and Equation ( 13), respectively, except for the mode function φ mnf (r, θ), which is:…”

mentioning

confidence: 64%

“…According to Reference [29], when the frequency ratio is mn = 1, the circular thin plate enters the nth-order resonance state. In period T, when t = T/4, the vibration displacement of each point on the circular thin plate reaches the maximum value, which is:…”

Section: Vibration Theory Of the Atomizing Sheetmentioning

confidence: 99%

“…The vibration mode is from B00 to B15, and the resonant frequency also increases. The specific value can be obtained from Equation (8), which is: According to Reference [29], when the frequency ratio is ϖ = 1 mn , the circular thin plate enters the nth-order resonance state. In period T, when = / 4 t T…”

Section: Vibration Theory Of the Atomizing Sheetmentioning

confidence: 99%

“…The coordinate system on the neutral surface of the plate is Oxyz , and the polar coordinate system θ Suppose the thickness of the thin plate is h , the material density is ρ , the elastic modulus is E , and the Poisson's ratio is μ . According to the small deflection bending theory of the elastic thin plate and based on Kirchhoff's hypothesis, the free vibration differential equation of the thin plate is as follows [29]:…”

mentioning

confidence: 99%

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Error Correction and Reanalysis of the Vibration Analysis of a Piezoelectric Ultrasonic Atomizer to Control Atomization Rate

et al. 2023

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Dynamic mesh atomizers have been widely used in various fields because of their compact structure, low energy consumption, and low production costs. The finite element method is an important technique to analyze the factors affecting the atomization performance of dynamic mesh atomizers. However, at present, there is a lack of decisive solutions to the basic problems of boundary setting in terms of the simulation and vibration displacement characteristics of atomizers under different vibration modes. In this paper, two errors were found in the Vibration Analysis of a Piezoelectric Ultrasonic Atomizer to Control Atomization Rate paper written by Esteban Guerra-Bravo et al. in 2021. First, in the finite element analysis, the boundary condition of the atomizing sheet was set to be fixed, which is inconsistent with the actual support situation and seriously affects the vibration of the atomizing sheet. Second, in the simulation result, from the first mode to the third mode, the growth rate of the maximum displacement at the center of the atomizing sheet was as high as 77.12%, even up to 221.05%, which is inconsistent with the existing vibration theory. In view of these errors, in this paper, the working principle of dynamic mesh atomizers is analyzed and the vibration equation of the atomizing sheet under peripheral simple support is derived. Through comparison with the literature, it was proven that the boundary setting and vibration displacement of the atomizing sheet in the original paper are unreasonable. By measuring the atomizing rate of the atomizing sheet under different boundary conditions, it was proven that the peripheral freedom of the atomizing sheet should be greater than or equal to 1, namely, peripheral freedom or peripheral simply supported. The vibration displacement theory was used for the simulation, and the relationship between the vibration displacement and resonant frequency of the atomizing sheet under peripheral simple support was measured. It was found that with the increase in the resonance frequency, the maximum displacement of vibration modes with only nodal circles was larger than that of the other vibration modes, and the maximum displacement increased slightly with the increase in the number of nodal circles by about 0.98%.

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mentioning

confidence: 64%

Section: Vibration Theory Of the Atomizing Sheetmentioning

confidence: 99%

Section: Vibration Theory Of the Atomizing Sheetmentioning

confidence: 99%

mentioning

confidence: 99%

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Error Correction and Reanalysis of the Vibration Analysis of a Piezoelectric Ultrasonic Atomizer to Control Atomization Rate

et al. 2023

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Coupled vibration of piezoelectric-based propeller blades for a novel unmanned underwater vehicle

Wang

et al. 2020

Advances in Mechanical Engineering

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To reduce the vibration of the propeller blades, a novel unmanned underwater vehicle–integrated piezoelectric additive manufacturing technology is proposed in this article. The operating principle and design procedure of the proposed unmanned underwater vehicle are illustrated. Utilizing piezoelectric dynamic theory and Lagrange’s equation, the coupled vibration equations of piezoelectric-propeller blades system under complex excitation are established. Applying MATLAB simulation method, the dynamic responses of the coupled blades under external and piezoelectric excitation are investigated. With finite-element method software, the correctness of the theoretical analysis is verified. Results show that the maximum amplitudes of the propeller blades are distributed at the end of the blades, thus placing the piezoelectric layers at the terminal blades can minimize the vibration of the propeller blades. Meanwhile, the vibration amplitudes of propeller blades can be reduced by more than 70% by applying piezoelectric coating. These results can be used to reduce the vibration and improve the dynamic performance during the unmanned underwater vehicle operating.

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Fundamentals of Vibration for Ultrasonic Motors

Cited by 2 publications

References 5 publications

Error Correction and Reanalysis of the Vibration Analysis of a Piezoelectric Ultrasonic Atomizer to Control Atomization Rate

Error Correction and Reanalysis of the Vibration Analysis of a Piezoelectric Ultrasonic Atomizer to Control Atomization Rate

Coupled vibration of piezoelectric-based propeller blades for a novel unmanned underwater vehicle

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