Insight Into the Separation-of-Variable Methods for the Closed-Form Solutions of Free Vibration of Rectangular Thin Plates
I tiakina i:
| I whakaputaina i: | Computer Modeling in Engineering & Sciences vol. 142, no. 1 (2025), p. 329 |
|---|---|
| Kaituhi matua: | |
| Ētahi atu kaituhi: | , |
| I whakaputaina: |
Tech Science Press
|
| Ngā marau: | |
| Urunga tuihono: | Citation/Abstract Full Text - PDF |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
MARC
| LEADER | 00000nab a2200000uu 4500 | ||
|---|---|---|---|
| 001 | 3200121350 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 1526-1492 | ||
| 022 | |a 1526-1506 | ||
| 024 | 7 | |a 10.32604/cmes.2024.056440 |2 doi | |
| 035 | |a 3200121350 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 100 | 1 | |a Xing, Yufeng | |
| 245 | 1 | |a Insight Into the Separation-of-Variable Methods for the Closed-Form Solutions of Free Vibration of Rectangular Thin Plates | |
| 260 | |b Tech Science Press |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a The separation-of-variable (SOV) methods, such as the improved SOV method, the variational SOV method, and the extended SOV method, have been proposed by the present authors and coworkers to obtain the closed-form analytical solutions for free vibration and eigenbuckling of rectangular plates and circular cylindrical shells. By taking the free vibration of rectangular thin plates as an example, this work presents the theoretical framework of the SOV methods in an instructive way, and the bisection–based solution procedures for a group of nonlinear eigenvalue equations. Besides, the explicit equations of nodal lines of the SOV methods are presented, and the relations of nodal line patterns and frequency orders are investigated. It is concluded that the highly accurate SOV methods have the same accuracy for all frequencies, the mode shapes about repeated frequencies can also be precisely captured, and the SOV methods do not have the problem of missing roots as well. | |
| 653 | |a Eigenvalues | ||
| 653 | |a Exact solutions | ||
| 653 | |a Free vibration | ||
| 653 | |a Thin plates | ||
| 653 | |a Rectangular plates | ||
| 653 | |a Cylindrical shells | ||
| 653 | |a Closed form solutions | ||
| 653 | |a Separation | ||
| 653 | |a Accuracy | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Coordinate transformations | ||
| 653 | |a Methods | ||
| 653 | |a Boundary conditions | ||
| 700 | 1 | |a Ye Yuan | |
| 700 | 1 | |a Li, Gen | |
| 773 | 0 | |t Computer Modeling in Engineering & Sciences |g vol. 142, no. 1 (2025), p. 329 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3200121350/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3200121350/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |