Results 11 to 20 of about 646 (89)
Nonunit quaternion parametrization of a Petrov–Galerkin Cosserat rod finite element
Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 4, December 2023., 2023 Abstract The application of the Petrov–Galerkin projection method in Cosserat rod finite element formulations offers significant advantages in simplifying the expressions within the discrete virtual work functionals. Moreover, it enables a straight‐forward and systematic exchange of the ansatz functions, specifically for centerline positions and cross ...
Jonas Harsch, Simon R. Eugster
wiley +1 more source
Data augmentation for design of concentric tube continuum robots by generative adversarial networks
Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 4, December 2023., 2023 Abstract Concentric tube continuum robots are a promising type of robot for various medical applications. Their application in neurosurgery poses challenging requirements for design and control that can be addressed by physics‐informed data‐based approaches. A prerequisite to data‐based modeling is an informative, rich data set. However, limited access
Matthias K. Hoffmann +6 more
wiley +1 more source
Asymptotic behavior for textiles with loose contact
Mathematical Methods in the Applied Sciences, Volume 46, Issue 16, Page 17082-17127, 15 November 2023., 2023 The paper is dedicated to the modeling of the elasticity problem for a textile structure. The textile is made of long and thin fibers, crossing each other in a periodic pattern, forming a woven canvas of a square domain. The textile is partially clamped.
Julia Orlik +3 more
wiley +1 more source
IET Science, Measurement &Technology, Volume 17, Issue 8, Page 308-321, October 2023., 2023 The auto‐pulsing mode of glow‐type coronas in air is modelled as a source of momentum whose conservation is substantially preserved across the external transfer region. The tangible prospect of charge‐bearing flows in the form of a filamentary convection, with negligible drifting component, in buffer gas is put forward in relation to spontaneous ...
Francesco Lattarulo
wiley +1 more source
Balancing Rotation Minimizing Frames with Additional Objectives
Computer Graphics Forum, Volume 42, Issue 7, October 2023., 2023 Abstract When moving along 3D curves, one may require local coordinate frames for visited points, such as for animating virtual cameras, controlling robotic motion, or constructing sweep surfaces. Often, consecutive coordinate frames should be similar, avoiding sharp twists.
C. Mossman +2 more
wiley +1 more source
Hamiltonian Frenet-Serret dynamics [PDF]
, 2001 The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second Frenet-Serret curvatures is considered from a geometrical perspective.
Arreaga G +10 more
core +3 more sources
On the Corner Elements of the CKM and PMNS Matrices [PDF]
, 2012 Recent experiments show that the top-right corner element ($U_{e3}$) of the PMNS, like that ($V_{ub}$) of the CKM, matrix is small but nonzero, and suggest further via unitarity that it is smaller than the bottom-left corner element ($U_{\tau 1}$), again
Baker M. J. Bordes J. Chan H.-M. Tsou S. T. +9 more
core +3 more sources
Energy required to pinch a DNA plectoneme [PDF]
, 2018 DNA supercoiling plays an important role on a biological point of view. One of its consequences at the supra-molecular level is the formation of DNA superhelices named plectonemes.
Barde, Céline +2 more
core +5 more sources
Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher Dimensional Space [PDF]
, 1997 We explain in a context different from that of Maraner the formalism for describing motion of a particle, under the influence of a confining potential, in a neighbourhood of an n-dimensional curved manifold M^n embedded in a p-dimensional Euclidean space
Chepilko N. M. +10 more
core +2 more sources
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time [PDF]
, 2008 The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered.
Matsyuk, Roman Ya.
core +4 more sources