Brief Mentions - G. Leitman, Topics in Optimization (Academic Press Inc., New York, 1967), xv+469 pp., $18.00. - H. J. Kushner, Stochastic Stability and Control (Academic Press Inc., New York, 1967), xi+161 pp. - A. Tuller, A Modern Introduction to Geometries (D. van Nostrand & Co., London, 1967), ix+201 pp., 60s. - A. W. Wallace, Differential Topology: First Steps (W. A. Benjamin Inc., New York, 1968), 130 pp., $9.50 cloth, $3.95 paper. - V. E. Benes, Mathematical Theory of Connecting … [PDF]
openalex +1 more source
Topology optimization with supershapes [PDF]
This work presents a method for the continuum-based topology optimization of structures whereby the structure is represented by the union of supershapes. Supershapes are an extension of superellipses that can exhibit variable symmetry as well as asymmetry and that can describe through a single equation, the so-called superformula, a wide variety of ...
openaire +2 more sources
A topology optimization method for rarefied gas flows
We construct a topology optimization method for two dimensional rarefied gas flow problems, based on level-set boundary expressions. The degree of rarefaction is expressed by the Knudsen number, which is the ratio of the mean free path and the ...
Ayami SATO+4 more
doaj +1 more source
Dynamical systems and topology optimization
This paper uses a dynamical systems approach for studying the material distribution (density or SIMP) formulation of topology optimization of structures. Such an approach means that an ordinary differential equation, such that the objective function is decreasing along a solution trajectory of this equation, is constructed.
Klarbring, Anders, Torstenfelt, Bo
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Optimal Low-Latency Network Topologies for Cluster Performance Enhancement [PDF]
We propose that clusters interconnected with network topologies having minimal mean path length will increase their overall performance for a variety of applications. We approach our heuristic by constructing clusters of up to 36 nodes having Dragonfly, torus, ring, Chvatal, Wagner, Bidiakis and several other topologies with minimal mean path lengths ...
arxiv
Topological Optimal Transport for Geometric Cycle Matching [PDF]
Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and probability theory, optimal transport formalises notions of distance and matchings between distributions and ...
arxiv
Wireless network topology optimization algorithm based on discrete variables
In response to the missing discrete variables in current wireless network topology optimization, an improved particle swarm optimization algorithm based on fusion of discrete variables is proposed to obtain network discrete variables.
Qingpeng Ran
doaj
Topological and Topographical Optimization of Automotive Spring Lower Seat
The design of a suspension system emphasizes weight reduction in this high-computation technology era. Understanding that the reduction of suspension mass can lead to cost and material reduction is important; moreover, the riding performance of the ...
Y.S. Kong+3 more
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Multi-material topology optimization of an electric machine considering demagnetization [PDF]
We consider the topology optimization problem of a 2d permanent magnet synchronous machine in magnetostatic operation with demagnetization. This amounts to a PDE-constrained multi-material design optimization problem with an additional pointwise state constraint.
arxiv
A novel topology design approach using an integrated deep learning network architecture [PDF]
Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization approaches. Ideally, with adequate problem statements, to formulate and solve the topology design problem using a ...
arxiv