Details
| Original language | English |
|---|---|
| Article number | 107747 |
| Number of pages | 15 |
| Journal | Computers and Structures |
| Volume | 313 |
| Early online date | 4 Apr 2025 |
| Publication status | Published - Jun 2025 |
Abstract
This paper presents a comprehensive study on step-size control in continuation methods. It reviews various well-known approaches, identifies suitable control parameters and introduces two schemes combining the parameters. Additionally a novel event-based control approach is presented. The effectiveness of these methods is evaluated through the use of simple examples and a nonlinearly coupled beam that is subject to harmonic excitation. The performance of each approach is compared in terms of the number of steps required, path quality, and computational cost. Results show that one of the proposed combination methods offers superior performance compared to existing approaches, especially in challenging scenarios such as highly nonlinear systems. These findings have practical implications for the development of more efficient and robust control strategies for continuation applications.
Keywords
- Continuation, Step size control
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 313, 107747, 06.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Investigation of existing and new approaches to step size control in a continuation framework
AU - Kubatschek, Tido
AU - Förster, Alwin
N1 - Publisher Copyright: © 2025 The Author(s)
PY - 2025/6
Y1 - 2025/6
N2 - This paper presents a comprehensive study on step-size control in continuation methods. It reviews various well-known approaches, identifies suitable control parameters and introduces two schemes combining the parameters. Additionally a novel event-based control approach is presented. The effectiveness of these methods is evaluated through the use of simple examples and a nonlinearly coupled beam that is subject to harmonic excitation. The performance of each approach is compared in terms of the number of steps required, path quality, and computational cost. Results show that one of the proposed combination methods offers superior performance compared to existing approaches, especially in challenging scenarios such as highly nonlinear systems. These findings have practical implications for the development of more efficient and robust control strategies for continuation applications.
AB - This paper presents a comprehensive study on step-size control in continuation methods. It reviews various well-known approaches, identifies suitable control parameters and introduces two schemes combining the parameters. Additionally a novel event-based control approach is presented. The effectiveness of these methods is evaluated through the use of simple examples and a nonlinearly coupled beam that is subject to harmonic excitation. The performance of each approach is compared in terms of the number of steps required, path quality, and computational cost. Results show that one of the proposed combination methods offers superior performance compared to existing approaches, especially in challenging scenarios such as highly nonlinear systems. These findings have practical implications for the development of more efficient and robust control strategies for continuation applications.
KW - Continuation
KW - Step size control
UR - http://www.scopus.com/inward/record.url?scp=105001734325&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2025.107747
DO - 10.1016/j.compstruc.2025.107747
M3 - Article
AN - SCOPUS:105001734325
VL - 313
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
M1 - 107747
ER -