Modeling and analysis of a piezoelectric transducer embedded in a nonlinear damped dynamical system
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11071-023-08283-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7965 |
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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 |