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Topology optimization of truss structure considering kinematic stability based on mixed-integer programming approach
Kinematic instability due to unstable nodes is an often neglected but critical aspect of mathematical optimization models in truss topology...
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Reducing the number of different members in truss layout optimization
Despite the long history of the truss layout optimization approach, its practical applications have been limited, partly due to high manufacturing...
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Adaptive topology optimization of fail-safe truss structures
Avoidance of disproportionate and progressive collapse, often termed ‘fail-safe design’, is a key consideration in the design of buildings and...
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Adaptive member adding for truss topology optimization: application to elastic design
This paper provides a rigorous and computationally efficient means of identifying compliance-based optimal truss topologies from high-resolution...
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Topology optimization for truss-like material distribution field with B-spline expression
Even through the topology optimal truss-like structure based on the truss-like material model is very close to its analytical solution, further...
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LayOpt: an educational web-app for truss layout optimization
A new interactive truss layout optimization web-app has been developed for educational use. This has been designed to be used on a range of devices,...
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Enhanced growth method for topology and geometry optimization of truss structures
In this paper, we present an enhanced growth method based on virtual displacements and strains fields for generating optimal design in terms of...
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Generative design of truss systems by the integration of topology and shape optimisation
Generative design refers to the automated design of components through the use of computer-aided engineering (CAE) tools. This is an enabling...
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Truss topology design and sizing optimization with guaranteed kinematic stability
Kinematic stability is an often overlooked, but crucial, aspect when mathematical optimization models are developed for truss topology design and...
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Introduction
This book chapter discusses truss optimization, a rapidly growing field of structural optimization that has emerged over the past three decades....
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Memory-assisted adaptive multi-verse optimizer and its application in structural shape and size optimization
In this paper, an enhanced, memory-assisted version of the multi-verse optimizer (MVO) is proposed for the shape and size optimization of various...
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Towards closed-walled designs in topology optimization using selective penalization
3D topology optimization using a density approach with penalization usually produces truss-like, open-walled structures. The coarser the mesh, the...
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Modular-topology optimization with Wang tilings: an application to truss structures
Modularity is appealing for solving many problems in optimization. It brings the benefits of manufacturability and reconfigurability to structural...
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Growth-Based Methodology for the Topology Optimisation of Trusses
This paper presents a novel methodology for a growth-based topology optimization of trusses. While most methods of topology optimization are based on...
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Topology optimization of load-bearing capacity
The present work addresses the problem of maximizing a structure load-bearing capacity subject to given material strength properties and a material...
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A Python script for discontinuity layout optimization
Discontinuity layout optimization (DLO) is a powerful numerical limit analysis technique that can be used to identify the collapse load and...
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On optimization of lightweight planar frame structures: an evolving ground structure approach
We consider the problem of designing lightweight, load-bearing planar frame structures for additive manufacturing, which can be formulated as a...
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Parametric generation of optimal structures through discrete exponential functions: unveiling connections between structural optimality and discrete isothermicity
This study discusses an equilibrium state of structures endowed with integrability and relates the structural optimality for Michell’s classic...
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Quasi-Newton corrections for compliance and natural frequency topology optimization problems
Sequential quadratic programming and interior point methods are effective general purpose optimization algorithms that sometimes exhibit poor...
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Extensions of the Michell Theory
The present chapter concerns the extension of the Michell problems towards the multi-load cases and reveals the impact of the Michell theory on the...