A Monolithic U-Shaped Rotor with Quasi-Zero Stiffness for Piezoelectric Ultrasonic Motors

Traveling wave ultrasonic motors (TWUMs) are critical components in precision systems, yet their performance is susceptible to degradation under dynamic disturbances in harsh operating environments. This paper presents a monolithic U-shaped rotor designed to intrinsically achieve quasi-zero stiffness (QZS). Unlike conventional QZS systems that rely on assembling discrete positive and negative stiffness elements, the proposed design generates the target mechanical characteristic through the tailored nonlinear response of a unified U-shaped structure, thereby improving preload stability. Through exploring the critical parameters of the rotor cross-section, the finite element method (FEM) is employed to optimize the geometry configuration and characterize the mechanical performances. The simulation results show the QZS behavior demonstrating a stable force plateau of 320 ± 10 N across a 0.7 mm displacement range. A maximum von Mises stress of 788 MPa is obtained, well within the material’s safety margin, thereby ensuring the structural integrity. Experimental tests validate the effectiveness of the proposed design. This compact, monolithic U-shaped rotor provides a robust and reliable QZS solution, demonstrating significant potential for enhancing the stability of TWUMs in applications prone to harsh environments such as wide-range temperature fluctuations, thermal cycling conditions, and shock environments.

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Publication Details

Journal
Symmetry
Published
2026-03-03
DOI
https://doi.org/10.3390/sym18030436
Primary Topic
Piezoelectric Actuators and Control
Type
article
Field-Weighted Citation Impact
0.00

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article

A Monolithic U-Shaped Rotor with Quasi-Zero Stiffness for Piezoelectric Ultrasonic Motors

Hui Li, Jintao Wu
Symmetry
Piezoelectric Actuators and Control
article

A Monolithic U-Shaped Rotor with Quasi-Zero Stiffness for Piezoelectric Ultrasonic Motors

Hui Li, Jintao Wu
article en

Abstract

Traveling wave ultrasonic motors (TWUMs) are critical components in precision systems, yet their performance is susceptible to degradation under dynamic disturbances in harsh operating environments. This paper presents a monolithic U-shaped rotor designed to intrinsically achieve quasi-zero stiffness (QZS). Unlike conventional QZS systems that rely on assembling discrete positive and negative stiffness elements, the proposed design generates the target mechanical characteristic through the tailored nonlinear response of a unified U-shaped structure, thereby improving preload stability. Through exploring the critical parameters of the rotor cross-section, the finite element method (FEM) is employed to optimize the geometry configuration and characterize the mechanical performances. The simulation results show the QZS behavior demonstrating a stable force plateau of 320 ± 10 N across a 0.7 mm displacement range. A maximum von Mises stress of 788 MPa is obtained, well within the material’s safety margin, thereby ensuring the structural integrity. Experimental tests validate the effectiveness of the proposed design. This compact, monolithic U-shaped rotor provides a robust and reliable QZS solution, demonstrating significant potential for enhancing the stability of TWUMs in applications prone to harsh environments such as wide-range temperature fluctuations, thermal cycling conditions, and shock environments.

SymmetryVol. 18(3)
Nanjing University of Aeronautics and Astronautics (CN)
National Natural Science Foundation of China
Affordable and clean energy
Openalex Percentile: Top 38%
Piezoelectric Actuators and Control
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A Monolithic U-Shaped Rotor with Quasi-Zero Stiffness for Piezoelectric Ultrasonic Motors — Hui Li, Jintao Wu · Symmetry (2026) | TGRS Research Map | TGRS