Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology Optimization with Accessibility Constraint for Multi-Axis
  Machining   In this paper, we present a topology optimization (TO) framework to enable
automated design of mechanical components while ensuring the result can be
manufactured using multi-axis machining. Although TO improves the part's
performance, the as-designed model is often geometrically too complex to be
machined and the as-manufactured model can significantly vary due to machining
constraints that are not accounted for during TO. In other words, many of the
optimized design features cannot be accessed by a machine tool without
colliding with the part (or fixtures). The subsequent post-processing to make
the part machinable with the given setup requires trial-and-error without
guarantees on preserving the optimized performance. Our proposed approach is
based on the well-established accessibility analysis formulation using
convolutions in configuration space that is extensively used in spatial
planning and robotics. We define an 'inaccessibility measure field' (IMF) over
the design domain to identify non-manufacturable features and quantify their
contribution to non-manufacturability. The IMF is used to penalize the
sensitivity field of performance objectives and constraints to prevent
formation of inaccessible regions. Unlike existing discrete formulations, our
IMF provides a continuous spatial field that is desirable for TO convergence.
Our approach applies to arbitrary geometric complexity of the part, tools, and
fixtures, and is highly parallelizable on multi-core architecture. We
demonstrate the effectiveness of our framework on benchmark and realistic
examples in 2D and 3D. We also show that it is possible to directly construct
manufacturing plans for the optimized designs based on the accessibility
information.

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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
23
The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat