Advancements in Structural Optimization and Analysis

The field of structural optimization and analysis is witnessing significant developments, with a focus on improving the accuracy and efficiency of numerical methods. Researchers are exploring new approaches to optimize the topology and geometry of structures, taking into account various factors such as self-weight, material properties, and loading conditions. The use of advanced mathematical techniques, such as asymptotic analysis and multi-grid methods, is becoming increasingly popular. These methods enable the optimization of complex structures and the analysis of their behavior under various loads. Noteworthy papers in this area include:

  • An Optimal and Robust Nonconforming Finite Element Method for the Strain Gradient Elasticity, which presents a novel finite element method for solving strain gradient elasticity problems.
  • Topology and geometry optimization of grid-shells under self-weight loading, which introduces a new approach for optimizing the connectivity and elevation of grid-shell structures.

Sources

An Optimal and Robust Nonconforming Finite Element Method for the Strain Gradient Elasticity

Topology and geometry optimization of grid-shells under self-weight loading

Quasi-3D beam theory based on equilibrium stress definition and mixed element model for accurate analysis of functionally graded beams

Optimization of the initial post-buckling response of trusses and frames by an asymptotic approach

Space-Time Multigrid Methods Suitable for Topology Optimisation of Transient Heat Conduction

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