6卷 第2期
1.School of Science, Xi'an Polytechnic University, Xi'an, 710048, China
2.Xi'an International Science and Technology Cooperation Base For Big Data Analysis;and Algorithms, Xi'an, 710048, China.
纸质出版日期：2025-02-25
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(2025). Transition Dynamics for a bistable membrane-type acoustic metamaterial system. 科技理论与实践（英文版）, 6(2), 163-170.
Feng Xia,Feng Jinqian,Su Jin,et al.Transition Dynamics for a bistable membrane-type acoustic metamaterial system[J].Theory and Practice of Science and Technology,2025,06(02):163-170.
(2025). Transition Dynamics for a bistable membrane-type acoustic metamaterial system. 科技理论与实践（英文版）, 6(2), 163-170. DOI： 10.47297/taposatWSP2633-456931.20250602.
Feng Xia,Feng Jinqian,Su Jin,et al.Transition Dynamics for a bistable membrane-type acoustic metamaterial system[J].Theory and Practice of Science and Technology,2025,06(02):163-170. DOI： 10.47297/taposatWSP2633-456931.20250602.
Transition phenomena between bistable states induced by noise fluctuations have emerged as a critical topic in ensuring the reliability of complex systems. These transitions cause abrupt jumps between states
often compromising the structural stability of metamaterials. This paper investigates the transition dynamics in an acoustic metamaterial model. The Onsager-Machlup action functional theory provides a potential way to capture the most probable transition path within a small tube
governed by the Euler-Lagrange equation. Solving this boundary-value problem efficiently presents a significant challenge. To address this
we employ the physics-informed neural networks(PINNs) method enhanced with a combined optimizer. Our results demonstrate that the AdamW+LBFGS optimization approach consistently achieves the higher accuracy and the faster convergence. Additionally
we analyze the effects of transition time and noise fluctuations on the transition path. The findings reveal that noise fluctuations can trigger transitions
altering the transition path through various manifold orientations. The minimum probable transition time is also derived numerically.
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