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Advancing building engineering through structural and topology optimization
Traditional building design is often done in a (pseudo-) sequential manner: the architect defines the form, the structural engineer defines the...
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Some Variational Principles in the Three-Dimensional Micropolar Theories of Solids and Thin Solids
In this work, we formulated the variational principles of Lagrange, Castigliano, the generalized Reissner-type variational principles (GRTVP), aswell...
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Topology optimization of tension-only cable nets under finite deformations
Structures containing tension-only members, i.e., cables, are widely used in engineered structures (e.g., suspension and cable-stayed bridges, tents,...
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Large-scale level set topology optimization for elasticity and heat conduction
We present a numerical study of a new large-scale level set topology optimization (LSTO) method for engineering design. Large-scale LSTO suffers from...
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Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy
The design of minimum-compliance bending-resistant structures with continuous cross-section parameters is a challenging task because of its inherent...
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A strain tensor method for three-dimensional Michell structures
In the design of discrete structures such as trusses and frames, important quantitative goals such as minimal weight or minimal compliance often...
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A polynomial dimensional decomposition-based method for robust topology optimization
This paper implements a novel integration of the polynomial dimensional decomposition (PDD), topology derivative, and level-set method for robust...
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Optimum Design of Structures of Finite Number of Bars. Single Load Variant
The central problem of the present chapter is the minimization of the compliance of bar structures. It turns out that the optimum design of trusses...
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A Lean Method for Local Patch Reinforcement Using Principal Stress Lines
Composite materials offer the possibility to design tailored laminates for a broad spectrum of applications such as airplane wings or monocoques in...
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Galerkin’s Method was not Developed by Ritz, Contrary to the Timoshenko’s Statement
In the context of its title, this paper we discuss two letters sent to S. P. Timoshenko (1878–1972), as well as a letter of response sent by...
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Multiobjective robust shape and topology optimization of plane frames using order statistics
This paper presents a worst-case approach to robust optimization of plane frame structures under variation in uncertain parameters. The optimization...
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Topology optimization based on reduction methods with applications to multiscale design and additive manufacturing
Advanced manufacturing processes such as additive manufacturing offer now the capability to control material placement at unprecedented length scales...
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FEA Structural Optimization Based on Metagraphs
Evolutionary Structural Optimization (ESO) seeks to mimic the form in which nature designs shapes. This paper focuses on shape carving triggered by...
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Yield limited optimal topology design of elastoplastic structures
This study is devoted to a novel method for topology optimization of elastoplastic structures subjected to stress constraints. It should be noted...
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Theoretically optimal bracing for pre-existing building frames
Bracing is commonly used to provide resistance to lateral forces in building structures. However, traditional bracing design approaches appear not to...
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Design of optimum grillages using layout optimization
Grillages are often used to form bridge decks and other constructions. However, following a period of intensive research activity in the 1970s,...
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Computational Tools for Design Analysis and Optimisation of AM Parts
There are several possible purposes for using simulation tools related to AM. The first aim, just as with traditional design analysis, is to simulate...
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Concurrent optimization of structural topology and infill properties with a CBF-based level set method
In this paper, a parametric level-set-based topology optimization framework is proposed to concurrently optimize the structural topology at the...
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Theory of Grillage Optimization—A Discrete Setting
The grillage optimization problem can be originally posed as a pair of infinite dimensional variational problems: equilibrium and kinematic, where a...
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Interval analysis based robust truss optimization with continuous and discrete variables using mix-coded genetic algorithm
The problem of optimizing truss structures in the presence of uncertain parameters considering both continuous and discrete design variables is...
