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Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system

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Bibliographic Details
Main Authors: M. K., Abohamer, J., Awrejcewicz, T. S., Amer
Format: Book
Language:English
Published: Springer 2023
Subjects:
three-degree-of-freedom
equations of motion
Online Access:https://link.springer.com/article/10.1007/s11071-023-08283-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7965
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spelling oai:localhost:PNK-79652023-04-17T01:51:45Z Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system M. K., Abohamer J., Awrejcewicz T. S., Amer three-degree-of-freedom equations of motion CC BY This paper focuses on the dynamical analysis of the motion of a new three-degree-of-freedom (DOF) system consisting of two segments that are attached together. External harmonic forces energize this system. The equations of motion (EOM) are derived utilizing Lagrangian equations, and the approximate solutions up to the third order are investigated using the methodology of multiple scales. A comparison between these solutions and numerical ones is constructed to confirm the validity of the analytic solutions. The modulation equations (ME) are acquired from the investigation of the resonance cases and the solvability conditions. The bifurcation diagrams and spectrums of Lyapunov exponent are presented to reveal the different types of the system’s motion and to represent Poincaré maps. 2023-04-17T01:51:45Z 2023-04-17T01:51:45Z 2023 Book https://link.springer.com/article/10.1007/s11071-023-08283-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7965 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic three-degree-of-freedom
equations of motion
spellingShingle three-degree-of-freedom
equations of motion
M. K., Abohamer
J., Awrejcewicz
T. S., Amer
Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
description CC BY
format Book
author M. K., Abohamer
J., Awrejcewicz
T. S., Amer
author_facet M. K., Abohamer
J., Awrejcewicz
T. S., Amer
author_sort M. K., Abohamer
title Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
title_short Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
title_full Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
title_fullStr Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
title_full_unstemmed Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
title_sort modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11071-023-08283-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7965
_version_ 1763452657511432192
score 8.891145

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