Analyzing and Characterizing the Global Complexity of Bistable Structures Under Simple Harmonic Excitation

Purpose The paper aims to develop a method to analyze and characterize the complexity of periodic excited bistable structures. Methods An efficient method is developed based on the compute unified device architecture (CUDA) platform for analyzing the complexity of bistable systems in terms of the ch...

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Bibliographic Details
Published inJournal of Vibration Engineering & Technologies Vol. 12; no. 4; pp. 6401 - 6411
Main Authors Guo, Kongming, Jiang, Jun, Xu, Yalan
Format Journal Article
LanguageEnglish
Published Singapore Springer Nature Singapore 01.04.2024
Subjects
Acoustics
Control
Dynamical Systems
Engineering
Engineering Acoustics
Original Paper
Vibration
State entropy
Bistable structures
Global analysis
Complexity
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ISSN2523-3920
2523-3939
DOI10.1007/s42417-023-01259-y

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Summary:Purpose The paper aims to develop a method to analyze and characterize the complexity of periodic excited bistable structures. Methods An efficient method is developed based on the compute unified device architecture (CUDA) platform for analyzing the complexity of bistable systems in terms of the characteristics of their periodic response. Also, a new complexity metric, state entropy, is proposed by considering the complexity of both the basin of attraction and the attractor. This metric is well suited to be computed by exploiting the parallelism of the graphics processing unit (GPU). Results The basins of attraction slices of the system in the three-dimensional state space are plotted by taking a preloaded von Mises truss as an example. Then, the existence of the safety response, steady-state stability, transient stability, and state entropy of the system is calculated for different excitation amplitudes and frequencies. Conclusion The proposed method allows an efficient global characterization of bistable systems subject to periodic excitation, and the proposed state entropy is suitable for quantitatively assessing the response complexity of bistable systems.
ISSN:2523-3920
2523-3939
DOI:10.1007/s42417-023-01259-y