Details
| Original language | English |
|---|---|
| Article number | 107400 |
| Number of pages | 16 |
| Journal | Computers and Structures |
| Volume | 299 |
| Early online date | 9 May 2024 |
| Publication status | E-pub ahead of print - 9 May 2024 |
Abstract
This paper presents a new numerical method called the zonal free element method (ZFREM) for the free and forced vibration analysis of elastodynamic problems. In this approach, a complex computational domain is divided into some simple zones and generates a series of regularly arranged nodes in each zone, which can improve the accuracy during the analysis of complex models. The distinguishing feature of the ZFREM is that an independent isoparametric element is formed by only one freely chosen surrounding node at each configuration node. In this method, the mass term exists only in the internal nodes, which can accelerate the assembly of the final system equations. Building upon this foundation, the present study developed the Krylov reduced dimensional iterative method, which approximates the solution of the equation system by constructing a lower-dimensional subspace. This approach avoids the complex equation transformations involved in traditional algorithms for solving eigenvalue problems, thereby further enhancing computational efficiency. Moreover, to tackle damped vibration problems encountered in engineering applications, the proposed method is further extended to solve the non-linear forced vibration problems. The accuracy and effectiveness of the method are verified by numerical examples of free and forced vibration problems.
Keywords
- Free and forced Vibration, Meshless method, Non-linear forced vibration, Zonal free element method, Zone mapping
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 299, 107400, 01.08.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Zonal free element method for free and forced vibration analysis of two- and three-dimensional structures
AU - Li, Bin
AU - Li, Jing da
AU - Liu, Hua yu
AU - Cui, Miao
AU - Lv, Jun
AU - Xu, Bing bing
AU - Gao, Xiao wei
PY - 2024/5/9
Y1 - 2024/5/9
N2 - This paper presents a new numerical method called the zonal free element method (ZFREM) for the free and forced vibration analysis of elastodynamic problems. In this approach, a complex computational domain is divided into some simple zones and generates a series of regularly arranged nodes in each zone, which can improve the accuracy during the analysis of complex models. The distinguishing feature of the ZFREM is that an independent isoparametric element is formed by only one freely chosen surrounding node at each configuration node. In this method, the mass term exists only in the internal nodes, which can accelerate the assembly of the final system equations. Building upon this foundation, the present study developed the Krylov reduced dimensional iterative method, which approximates the solution of the equation system by constructing a lower-dimensional subspace. This approach avoids the complex equation transformations involved in traditional algorithms for solving eigenvalue problems, thereby further enhancing computational efficiency. Moreover, to tackle damped vibration problems encountered in engineering applications, the proposed method is further extended to solve the non-linear forced vibration problems. The accuracy and effectiveness of the method are verified by numerical examples of free and forced vibration problems.
AB - This paper presents a new numerical method called the zonal free element method (ZFREM) for the free and forced vibration analysis of elastodynamic problems. In this approach, a complex computational domain is divided into some simple zones and generates a series of regularly arranged nodes in each zone, which can improve the accuracy during the analysis of complex models. The distinguishing feature of the ZFREM is that an independent isoparametric element is formed by only one freely chosen surrounding node at each configuration node. In this method, the mass term exists only in the internal nodes, which can accelerate the assembly of the final system equations. Building upon this foundation, the present study developed the Krylov reduced dimensional iterative method, which approximates the solution of the equation system by constructing a lower-dimensional subspace. This approach avoids the complex equation transformations involved in traditional algorithms for solving eigenvalue problems, thereby further enhancing computational efficiency. Moreover, to tackle damped vibration problems encountered in engineering applications, the proposed method is further extended to solve the non-linear forced vibration problems. The accuracy and effectiveness of the method are verified by numerical examples of free and forced vibration problems.
KW - Free and forced Vibration
KW - Meshless method
KW - Non-linear forced vibration
KW - Zonal free element method
KW - Zone mapping
UR - http://www.scopus.com/inward/record.url?scp=85192328868&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2024.107400
DO - 10.1016/j.compstruc.2024.107400
M3 - Article
AN - SCOPUS:85192328868
VL - 299
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
M1 - 107400
ER -