Reliability‐based topology optimization against geometric imperfections with random threshold model

Robust topology optimization of slender structures with geometric imperfections

1. Abstract Structural topology optimization often leads to slender structures which are sensitive to geometric imperfections such as the misplacement of material. A robust approach is therefore presented in order to take into account material misplacement in topology optimization problems. A probabilistic approach to robust optimization is followed. Spatially varying geometric imperfections ar...

Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices

For connectivity of random geometric graphs, where there is no density for underlying distribution of the vertices, we consider n i.i.d. Cantor distributed points on [0, 1]. We show that for this random geometric graph, the connectivity threshold Rn, converges almost surely to a constant 1−2φ where 0 < φ < 1/2, which for standard Cantor distribution is 1/3. We also show that ‖Rn − (1− 2φ)‖1 ∼ 2...

Geometric Feature Identification from Topology Optimization Results

1. Abstract Topology optimization yields an overall layout of a structure in the form of discrete density (e.g., SIMP) or continuous boundary geometry (e.g., level-set method). One of important drawbacks, however, is that it leads to a geometry with zigzag boundaries and/or irregular shapes, which is difficult to be interpreted for manufacturability, as well as to be utilized in subsequent appl...

Imperfections in Random Tournaments

Buckling Analysis of Cylindrical Shells with Cutouts including Random Geometric Imperfections

In this paper the effect of random geometric imperfections on the critical load of isotropic, thin-walled, cylindrical shells under axial compression with rectangular cutouts is presented. Second moment characteristics of geometric imperfections are estimated by data of available measurements, a simulation procedure based on the Karhunen-Loéve expansion is applied for generating realizations of...