Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Adrian Butscher"'
Publikováno v:
Computer-Aided Design. 156:103439
Publikováno v:
Multibody System Dynamics. 51:247-278
Heretofore, the Serret–Frenet frame has been the ubiquitous choice for analyzing the elastic deformations of beam elements. It is well-known that this frame is undefined at the inflection points and straight segments of the beam where its curvature
Autor:
Adrian Butscher, Hyunmin Cheong
Publikováno v:
Journal of Engineering Design. 30:655-687
The current work presents an ontology developed for physics-based simulation in engineering design, called Physics-based Simulation Ontology (PSO). The purpose of the ontology is to assist ...
Design optimization of dynamic flexible multibody systems using the discrete adjoint variable method
Publikováno v:
Computers & Structures. 213:82-99
The design space of dynamic multibody systems (MBSs), particularly those with flexible components, is considerably large. Consequently, having a means to efficiently explore this space and find the optimum solution within a feasible time-frame is cru
Publikováno v:
Algebraic Topology ISBN: 9783030706074
This chapter is an introduction to the rich structure possessed by a set endowed with a group operation. The first notion we will explore is that of subgroups, or subsets of a group that themselves satisfy all the properties of a group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::249036f6e913ace0aaf99b66ee869029
https://doi.org/10.1007/978-3-030-70608-1_6
https://doi.org/10.1007/978-3-030-70608-1_6
Publikováno v:
Algebraic Topology ISBN: 9783030706074
We have already seen one of the key algebraic invariants for topological spaces: the fundamental group. Roughly, the fundamental group detects interesting maps from the circle \(\mathbb {S}^1\) to a space X. There are higher-dimensional versions of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e26556c61a96637f8952f9e2576bb74
https://doi.org/10.1007/978-3-030-70608-1_13
https://doi.org/10.1007/978-3-030-70608-1_13
Publikováno v:
Algebraic Topology ISBN: 9783030706074
The goal of this chapter is to describe a useful homeomorphism invariant of surfaces known as the Euler characteristic. In order to do that, we need to discuss the notion of a triangulation of a surface.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00ceec36d2d3c9a491ba58942131aaae
https://doi.org/10.1007/978-3-030-70608-1_3
https://doi.org/10.1007/978-3-030-70608-1_3
Publikováno v:
Algebraic Topology ISBN: 9783030706074
So far, in order to understand topological spaces, we have been using numerical invariants such as the Euler characteristic in order to detect whether spaces are homeomorphic or not. However, there is a wide class of other invariants, which associate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c1438c3e62aa6f3b253530d58b90d8e
https://doi.org/10.1007/978-3-030-70608-1_5
https://doi.org/10.1007/978-3-030-70608-1_5
Publikováno v:
Algebraic Topology ISBN: 9783030706074
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa6e933e594dd6c1b47af8c5c285c6b5
https://doi.org/10.1007/978-3-030-70608-1_1
https://doi.org/10.1007/978-3-030-70608-1_1
Publikováno v:
Algebraic Topology ISBN: 9783030706074
We have worked quite hard to find a space whose fundamental group is non-trivial. We should capitalize on this result and see if we can find other, related spaces whose fundamental groups can now be computed easily as a result of our hard work. An ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ca99ba45ec42a6592c9d22e3f5e7e79
https://doi.org/10.1007/978-3-030-70608-1_10
https://doi.org/10.1007/978-3-030-70608-1_10