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A Riemannian View on Shape Optimization [PDF]
Foundations of Computational Mathematics, 2014 Shape optimization based on the shape calculus is numerically mostly performed by means of steepest descent methods. This paper provides a novel framework to analyze shape-Newton optimization methods by exploiting a Riemannian perspective. A Riemannian shape Hessian is defined yielding often sought properties like symmetry and quadratic convergence for
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The stress-minimizing hole in a shear-loaded elastic plate at a given energy increment
Archives of Mechanics, 2022 Minimization of the peak tangential stresses around a single hole in an infinite 2D elastic plate under remote pure shear and a given hole-induced strain energy level is considered as a free-shape optimization problem under a physical constraint.
S. Vigdergauz
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Journal of Marine Science and EngineeringThis study investigated the motion stability of underwater gliders and optimized their shape to enhance hydrodynamic performance. Given the critical role of stability in underwater operations, a multi-objective optimization framework was developed ...
Tian Zhang +3 more
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Energies, 2018 In this paper, a shape optimization method of a truncated conical point absorber wave energy converter is proposed. This method converts the wave energy absorption efficiency into the matching problem between the wave spectrum of the South China Sea and ...
Yadong Wen +6 more
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Shape optimization of an acoustic horn [PDF]
Computer Methods in Applied Mechanics and Engineering, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bängtsson, Erik +2 more
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Shape optimization of a flexible beam with a local shape feature based on ANCF
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 This paper proposes a shape optimization method of local shape features on a flexible beam modeled with the absolute nodal coordinate formulation (ANCF).
Gang HE +4 more
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SIAM Journal on Mathematical Analysis, 2022 The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure $μ$ describing the distribution of root hair cells, we seek to maximize a harvest functional $\mathcal{H}$, computing the total amount of water and nutrients gathered by the roots, subject to a cost for transporting these nutrients from the roots ...
Alberto Bressan +2 more
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On the Topological Derivative in Shape Optimization [PDF]
SIAM Journal on Control and Optimization, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sokołowski, J., Żochowski, A.
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TechnologiesFree-form grid structures offer both aesthetic appeal and structural efficiency in long-span roof design and application, yet the potential of morphological design to optimize thermal performance has been long overlooked.
Bowen Hou, Baoshi Jiang, Bangjian Wang
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Parameter-Free Shape Optimization: Various Shape Updates for Engineering Applications
Aerospace, 2023 In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications.
Lars Radtke +6 more
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