An adaptive extended radial basis function based interval analysis method for structural engineering solutions

Area of Science:

• Engineering
• Computational Mechanics
• Uncertainty Quantification

Background:

• Uncertain interval analysis is crucial for engineering structures.
• Accurate and efficient determination of uncertainty bounds remains a challenge.

Purpose of the Study:

• To propose a novel adaptive Extended Radial Basis Function (E-RBF) based interval analysis method.
• To achieve accurate and efficient structural bound solutions for uncertainty analysis.

Main Methods:

• An adaptive Extended Radial Basis Function (E-RBF) method is developed.
• Adjusted widths for Gaussian basis functions are confirmed using an adaptive scaling technique.
• The method is validated using numerical functions and structural examples.

Main Results:

• The adaptive E-RBF method demonstrates accuracy in determining Gaussian basis function widths.
• The proposed method effectively solves for extreme uncertain interval bounds in complex structures.
• Validation confirms the method's validity and effectiveness on structural problems.

Conclusions:

• The adaptive E-RBF based interval analysis method provides accurate and efficient structural bound solutions.
• This approach addresses a key problem in current uncertain interval analysis.
• The method shows significant potential for complex structural engineering applications.