Bending vibration transfer equations of variable-section piezoelectric laminated beams

Yu, Pengpeng; Pang, Yuanjie; Zhang, Shiyu; Wang, Liang; Jin, Jiamei

doi:10.1016/j.compstruct.2023.116887

Cited by 5 publications

(2 citation statements)

References 59 publications

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“…To determine the vibration response of the Telescopic Tubular Mast (TTM), the initial step involves calculating the shape function of its stepped structures. In this study, we employ a semi-analytical method known as the Transfer Matrix Method (TMM) [17], which is adapted to include the deploying phase. The essence of TMM lies in treating each segment of the boom, characterized by uniform geometric properties, as akin to a conventional structure.…”

Section: Extend Transfer Matrix Methods (Etmm) For the Deployable Mul...mentioning

confidence: 99%

Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast

Sun,

Gasbarri,

et al. 2024

Preprint

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This work presents the longitudinal and transverse coupling vibrations of a deployable Telescopic Tubular Mast (TTM), a multi-stepped structure integrated into a spacecraft system, while considering the rigid-flexible coupling phenomenon. The model is derived using the principle of virtual work and discretized via the variable separation method. The von Kármán strain is employed to incorporate geometric nonlinear effects. Semi-analytical results for the shape functions and natural frequencies of the quasi-static multi-stepped boom are obtained using the extended transfer matrix method (ETMM). These natural frequencies are validated against results from Nastran, confirming the ETMM's accuracy Additionally, the model accounts for the continuously changing natural frequencies and shape functions during the deployment phase. Finally, the dynamic phenomena of the longitudinal and transverse displacements are analyzed at various deploying states, including locking and restart behaviors. The influence of the structural damping on the vibration evolution is also contained in the numerical analysis.

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Section: Extend Transfer Matrix Methods (Etmm) For the Deployable Mul...mentioning

confidence: 99%

Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast

Sun,

Gasbarri,

et al. 2024

Preprint

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“…[36] Finite element analysis (FEA) has been extensively utilized as a valuable tool in the design and engineering of integrated piezoelectric actuators. [37][38][39][40] Typically, piezoelectric actuators employ single-mode or multimode-coupled vibration, and modal harmonic response analysis is commonly employed to determine the required vibration mode and study the vibration characteristics in the frequency domain. Certain researchers, such as Zhang et al and Liu et al, have utilized commercial FEA software to investigate the steady-state vibration characteristics of piezoelectric actuators, including modal resonant frequency and amplitude responses.…”

Section: Introductionmentioning

confidence: 99%

A Biomimetic Piezoelectric Composite‐Driven Undulation Underwater Robotic Structure: Characteristic Analysis and Experimental Investigation

Liu,

Wu,

Jin

et al. 2023

Advanced Intelligent Systems

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Numerous proposals and recommendations have been made in the development of underwater undulation robots, but very few studies have focused on the undulation characteristics of undulation robots. The undulating mode of the clearnose skate utilizing the activation of the pectoral fins in undulatory bursts is particularly suitable for slow and efficient swimming. Inspired by the working principle of the clearnose skate, herein, an undulation robotic structure is presented. Considering the hydrodynamic skeleton and propulsion mechanism of the clearnose skate, the solution is based on a piezoelectric composite for realizing undulatory propulsion. This approach leverages the converse piezoelectric effect and modal coupling to produce the desired undulating motion, thereby achieving the undulation design of the robot. The proposed robotic structure can realize the propulsion mode using piezoelectric composites to undulate in the same direction and can use the clockwise or counterclockwise undulation of piezoelectric composites to achieve the steering mode. In addition, finite element analysis is employed as an approach to investigate the undulation characteristics and transient vibration characteristics of the robot. The operational efficiency of the robotic structure is assessed through experiments. The results show that the propulsion mode achieves the speed of 3.33 body‐length s−1. The steering mode exhibits the steering velocities of 17.4 deg s−1.

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Dynamic Modelling and Performance Analysis of Deployable Telescopic Tubular Mast

Sun,

Gasbarri,

et al. 2024

Aerotec. Missili Spaz.

View full text Add to dashboard Cite

This work presents the longitudinal and transverse coupling vibrations of a deployable Telescopic Tubular Mast (TTM), a multi-stepped structure integrated into a spacecraft system, while considering the rigid-flexible coupling phenomenon. The model is derived using the principle of virtual work and discretized via the variable separation method. The von Kármán strain is employed to incorporate geometric nonlinear effects. Semi-analytical results for the shape functions and natural frequencies of the quasi-static multi-stepped boom are obtained using the extended transfer matrix method (ETMM). These natural frequencies are validated against results from Nastran, confirming the ETMM's accuracy. In addition, the model accounts for the continuously changing natural frequencies and shape functions during the deployment phase. Finally, the dynamic phenomena of the longitudinal and transverse displacements are analyzed at various deploying states, including locking and restart behaviors. The influence of the structural damping on the vibration evolution is also contained in the numerical analysis.

show abstract

Bending vibration transfer equations of variable-section piezoelectric laminated beams

Cited by 5 publications

References 59 publications

Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast

Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast

A Biomimetic Piezoelectric Composite‐Driven Undulation Underwater Robotic Structure: Characteristic Analysis and Experimental Investigation

Dynamic Modelling and Performance Analysis of Deployable Telescopic Tubular Mast

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