Constrained Stochastic Imperfection Modal Method for Nonlinear Buckling Analysis of Single-Layer Reticulated Shells
Publication: Journal of Structural Engineering
Volume 149, Issue 3
Abstract
Single-layer reticulated shells (SLRSs) are highly sensitive to initial geometric imperfections (IGIs) with respect to their nonlinear buckling behavior. However, the traditional random imperfection modal method assumes the joint deviations to be independent, which leads to the member length deviations always exceeding the manufacturing error limit given by design codes, i.e., the IGIs are unrealistic, and the nonlinear buckling load must be inaccurate. This paper proposes a simple and efficient method to generate stochastic IGIs for SLRSs considering topology constraints. By applying nonlinear heuristically perturbed virtual interaction forces to the joints, the joint coordinates can be updated using the iterative forward Euler method, aiming to generate realistic stochastic IGIs. Numerical experiments show that all the members in the IGIs generated by the proposed method satisfy the topology constraint, resulting in more significant out-of-plane joint deviations. Moreover, compared with the traditional method, the proposed method has better potential to search for the lower boundary of the nonlinear buckling load of SLRSs.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China under Grant No. 52208196. The first author gratefully acknowledges the financial support from China Scholarship Council (CSC) during his visit (No. 202106260172) to Kyoto University.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 149 • Issue 3 • March 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Dec 29, 2021
Accepted: Oct 28, 2022
Published online: Dec 30, 2022
Published in print: Mar 1, 2023
Discussion open until: May 30, 2023
ASCE Technical Topics:
- Analysis (by type)
- Buckling
- Continuum mechanics
- Design (by type)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Geometrics
- Highway and road design
- Joints
- Load factors
- Mathematics
- Methodology (by type)
- Modal analysis
- Nonlinear analysis
- Numerical methods
- Probability
- Solid mechanics
- Stochastic processes
- Structural analysis
- Structural design
- Structural dynamics
- Structural engineering
- Structural members
- Structural systems
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