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- Title
Surface Wave Bloch Mode Synthesis for Accelerating the Calculations of Elastic Periodic Structures.
- Authors
Zhou, Jiahua; Shi, Zhifei; Cheng, Zhibao
- Abstract
Background: The characteristics of surface waves (SWs) in periodic structures have been given serious attention in recent years. Higher requirement for computers and time consumption must be arose for the calculations of the dispersion relations of SWs. Method: In this paper, a new reduced-order model technique called surface wave Bloch mode synthesis (SW-BMS) method is proposed to accelerate the computations of SWs in elastic periodic structures. In the SW-BMS method, the unit cell is divided into interior and interface degrees of freedoms, which are described by fixed interface modes and constraint modes, respectively, and subsequent reduction of the interior and interface via truncated mode's expansion. Taking the energy criterion of SW's identification into account, the combination of these modes forms a reduced model for the eigenvalue problem of a periodic structure. Results: The performance of the SW-BMS method is validated by three different scenarios, which are the unit cell of a periodic in-filled trench representing a 1D periodic structure, a periodic pile barrier in homogenous soil to describe a 2D periodic structure and a usually occurs in practical engineering structure of periodic pile barrier in layered soil. The results show that the dispersion relations can be exactly predicted and the time consumption is significantly reduced using the present SW-BMS method. Conclusion: The SW-BMS method can greatly reduce the time consumption in calculating the SW's dispersion relations of a periodic structure without any loss of modes and accuracy, which removes a very big obstacle towards practical applications.
- Subjects
BLOCH waves; DISPERSION relations; DEGREES of freedom; UNIT cell; REDUCED-order models
- Publication
Journal of Vibration Engineering & Technologies, 2024, Vol 12, Issue 4, p5835
- ISSN
2523-3920
- Publication type
Article
- DOI
10.1007/s42417-023-01221-y