Eigenvibrations of Kirchhoff Rectangular Random Plates on Time-Fractional Viscoelastic Supports via the Stochastic Finite Element Method
Marcin Kamiński, Michał Guminiak, Agnieszka Lenartowicz, Magdalena Łasecka-Plura, Maciej Przychodzki, Wojciech Sumelka · 2023
Read Eigenvibrations of Kirchhoff Rectangular Random Plates on Time-Fractional Viscoelastic Supports via the Stochastic Finite Element Method by Marcin Kamiński, Michał Guminiak, Agnieszka Lenartowicz, Magdalena Łasecka-Plura, Maciej Przychodzki, Wojciech Sumelka (2023) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/pmc-10745108.txt.
Description
Marcin Kaminski and co-authors study how thin plates vibrate when their traits are partly random, in a 2023 paper. The plates rest on supports that behave like a springy, slow material. Real supports and plates never match their design values exactly. Ignoring that spread can mislead engineers about safe vibration levels.
The team used a finite element method wrapped in three ways to handle chance. One way ran many random trials. The other two used math shortcuts for the same spread. They solved a hard nonlinear problem for the vibration modes with an iteration method. Results cover the average and spread of the vibration response at several doubt levels. The work guides design where vibration limits matter.
Catalog record
| CREATOR | Marcin Kamiński, Michał Guminiak, Agnieszka Lenartowicz, Magdalena Łasecka-Plura, Maciej Przychodzki, Wojciech Sumelka |
|---|---|
| YEAR | 2023 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 37 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |