Adaptive search space decomposition method for pre- and post- buckling analyses of space truss structures

by   Varun Ojha, et al.

The paper proposes a novel adaptive search space decomposition method and a novel gradient-free optimization-based formulation for the pre- and post-buckling analyses of space truss structures. Space trusses are often employed in structural engineering to build large steel constructions, such as bridges and domes, whose structural response is characterized by large displacements. Therefore, these structures are vulnerable to progressive collapses due to local or global buckling effects, leading to sudden failures. The method proposed in this paper allows the analysis of the load-equilibrium path of truss structures to permanent and variable loading, including stable and unstable equilibrium stages and explicitly considering geometric nonlinearities. The goal of this work is to determine these equilibrium stages via optimization of the Lagrangian kinematic parameters of the system, determining the global equilibrium. However, this optimization problem is non-trivial due to the undefined parameter domain and the sensitivity and interaction among the Lagrangian parameters. Therefore, we propose formulating this problem as a nonlinear, multimodal, unconstrained, continuous optimization problem and develop a novel adaptive search space decomposition method, which progressively and adaptively re-defines the search domain (hypersphere) to evaluate the equilibrium of the system using a gradient-free optimization algorithm. We tackle three benchmark problems and evaluate a medium-sized test representing a real structural problem in this paper. The results are compared to those available in the literature regarding displacement-load curves and deformed configurations. The accuracy and robustness of the adopted methodology show a high potential of gradient-free algorithms in analyzing space truss structures.


page 1

page 2

page 3

page 4


Curved Space Optimization: A Random Search based on General Relativity Theory

Designing a fast and efficient optimization method with local optima avo...

Adaptive Exploration and Optimization of Materials Crystal Structures

A central problem of materials science is to determine whether a hypothe...

Finite Strain Topology Optimization with Nonlinear Stability Constraints

This paper proposes a computational framework for the design optimizatio...

Adaptive spectral decompositions for inverse medium problems

Inverse medium problems involve the reconstruction of a spatially varyin...

Adaptive Interaction Modeling via Graph Operations Search

Interaction modeling is important for video action analysis. Recently, s...

A binary variant of gravitational search algorithm and its application to windfarm layout optimization problem

In the binary search space, GSA framework encounters the shortcomings of...

Deep Learning for Explicitly Modeling Optimization Landscapes

In all but the most trivial optimization problems, the structure of the ...

Please sign up or login with your details

Forgot password? Click here to reset