Results 11 to 20 of about 92,690 (283)
Optimal fine-scale structures in compliance minimization for a uniaxial load. [PDF]
Proc Math Phys Eng Sci, 2014 We consider the optimization of the topology and geometry of an elastic structureO⊂R2subjected to a fixed boundary load, i.e. we aim to minimize a weighted sum of material volumeVol(O), structure perimeterPer(O)and structure complianceComp(O)(which is the work done by the load). As a first simple and instructive case, this paper treats the situation of
Kohn RV, Wirth B.
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Data minimization for GDPR compliance in machine learning models [PDF]
AI and Ethics, 2021 The EU General Data Protection Regulation (GDPR) mandates the principle of data minimization, which requires that only data necessary to fulfill a certain purpose be collected. However, it can often be difficult to determine the minimal amount of data required, especially in complex machine learning models such as neural networks. We present a first-of-
Goldsteen, Abigail +4 more
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Revisiting non-convexity in topology optimization of compliance minimization problems [PDF]
Engineering Computations, 2021 PurposeThis is an attempt to better bridge the gap between the mathematical and the engineering/physical aspects of the topic. The authors trace the different sources of non-convexification in the context of topology optimization problems starting from domain discretization, passing through penalization for discreteness and effects of filtering methods,
Mohamed Abdelhamid, Aleksander Czekanski
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The High Cantilevered Beam of Minimal Compliance [PDF]
The Quarterly Journal of Mechanics and Applied Mathematics, 2001 Summary: The state of stress in a high (that is, blunt, tapering) trapezoidal cantilevered elastic beam loaded by a transverse force applied at the free end is determined by extending an approximate Galerkin method. The solution is used to solve the problem of finding, among the trapezoidal profiles of given area and width, that one which minimizes the
Knops, Robin J., Villaggio, Piero
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Designing manufacturable viscoelastic devices using a topology optimization approach within a truly-mixed fem framework [PDF]
, 2016 A new approach to topology optimization is presented that is based on the minimization of the input/output transfer function H∞norm. Additionally, by properly selecting input and output vector, the approach is recognized to minimize an entirely new ...
Cinquini, Carlo +2 more
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Phase-field approaches to structural topology optimization [PDF]
, 2010 The mean compliance minimization in structural topology optimization is solved with the help of a phase field approach. Two steepest descent approaches based on L2- and H-1 gradient flow dynamics are discussed. The resulting flows are given by Allen-Cahn
Blank, Luise +5 more
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Archives of Mechanics, 2012 The compliance minimization of transversely homogeneous plates with predefined Kelvin moduli leads to the equilibrium problem of an effective hyperelastic plate with the hyperelastic potential expressed explicitly in terms of both the membrane and ...
G. Dzierżanowski, T. Lewiński
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Analysis of nanoindentation of soft materials with an atomic force microscope [PDF]
, 2011 Nanoindentation is a popular experimental technique for characterization of the mechanical properties of soft and biological materials. With its force resolution of tens of pico-Newtons, the atomic force microscope (AFM) is well-suited for performing ...
Notbohm, Jacob +2 more
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Topological optimization and minimal compliance in linear elasticity
Evolution Equations & Control Theory, 2020 We investigate a fixed domain approach in shape optimization, using a regularization of the Heaviside function both in the cost functional and in the state system. We consider the compliance minimization problem in linear elasticity, a well known application in this area of research.
Murea, Cornel Marius, Tiba, Dan
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Archives of Mechanics, 2012 The paper deals with compliance minimization of a transversely homogeneous plate, subjected to the in-plane and transverse loadings acting simultaneously.
G. Dzierżanowski, T. Lewiński
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