Results 71 to 80 of about 119 (101)

Elastic buckling of externally pressurized Cassini oval shells with various shape indices

Thin-Walled Structures, 2018
Abstract This study examines the effect of shape index on the elastic buckling of Cassini oval shells under uniform external pressure. Shells are evaluated under a uniform wall thickness (2 mm) and capacity ( 3.63 × 10 6  mm3), with the shape index, k c = c / a , ranging from 0 to 0.99.
Fang Wang, Wenxian Tang
exaly   +2 more sources

Simulation of Bernoulli Lemniscate holonomically constrained by Cassini oval function for Brunnian braiding mechanism and dynamics

International Journal of Precision Engineering and Manufacturing, 2014
This paper presents a novel braiding mechanism simulated on Bernoulli Lemniscate function. Spatial dynamics of thread sequence have been computed to find a simple and innovative drive mechanism for braiding complex pattern. Dynamic degree-of-freedoms (DOFs) of strings has been holonomically constrained by Cassini oval function in simulation and ...
Supankar Das, Kaushal K. Dubey, Bikar Singh, Deepika Singh, Amit Dogra   +4 more
exaly   +2 more sources

Cassini Oval Scanning for High-Speed AFM Imaging

2022 5th World Conference on Mechanical Engineering and Intelligent Manufacturing (WCMEIM), 2022
Xianmin Zhang, Benliang Zhu, Chaoyu Cui   +2 more
exaly   +2 more sources

Bimodal Droplet‐Based Electricity Generation Through Semi Cassini Oval Dynamic Morphology Control

Small
Abstract Droplet‐based electricity generator (DEG) is the promising energy harvesting technology applicable in versatile scenarios. Despite numerous optimizations in DEG's materials and structures, few has paid attention to the droplet dynamics and morphology control.
Ling Bu, Xiaohong Wang
exaly   +3 more sources

Attachment of various-shaped polystyrene microplastics to silica surfaces: Experimental validation of the equivalent Cassini oval extended DLVO model

Journal of Hazardous Materials
Microplastics (MPs) vary in shape and surface characteristics in the environment. The attachment of MPs to surfaces can be studied using the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. However, this theory does not account for the shape MPs. Therefore, we investigated the attachment of spherical, pear-shaped, and peanut-shaped polystyrene MPs to ...
Hyunjung Kim
exaly   +3 more sources

Automated Construction of Airfoils Lattice Based on Cassini Oval

Chemical and Petroleum Engineering, 2022
When developing turbomachines for various purposes, designing a blade apparatus (constructing aerodynamically smooth airfoils) is a time-consuming multifactorial task. A promising method for designing airfoils uses the properties of Cremona transformations of a plane with coincident F-points, while the transformation object is the Cassini oval.
Oshchepkov P.P., Maldonado P.R.Vallejo, Vinogradov L.V., Mamaev V.K.   +3 more
openaire   +2 more sources

Cassini, his ovals and a space probe to Saturn

The Mathematical Gazette, 1997
On 6 October 1997 NASA plans to launch a space probe named Cassini which, if all goes to plan, will follow a convoluted path which will take it past Venus in April 1998 and again in June 1999 before it repasses close to Earth in August 1999. By then it will have gained enough speed to set out
Ann E. Hirst, E. Keith Lloyd
openaire   +1 more source

On an alternative to Gerschgorin circles and ovals of Cassini

Numerische Mathematik, 2003
Previous ideas of the author [SIAM J. Matrix Anal. Appl. 22, 1027-1037 (2001; Zbl 0986.15015)] are extended and used to establish a new result on the localization of the real eigenvalues of a real matrix. A simple example is given which shows the new bounds can be sharper than those given by Gerschgorin's theorem and Brauer's theorem on the ovals of ...
openaire   +3 more sources

Ovals of Cassini for Toeplitz matrices

Linear and Multilinear Algebra, 2011
Both the Gershgorin and Brauer eigenvalue inclusion sets reduce to a single disc when applied to a matrix with a constant main diagonal. We show that a union of ovals of Cassini containing all the eigenvalues of such a matrix can nonetheless be derived and that this union is guaranteed to lie inside the Brauer set. We then apply our results to Toeplitz
openaire   +1 more source

Differential subordination properties for functions associated with the Cassini’s oval

AIP Conference Proceedings, 2015
Numerous works have been done in obtaining properties involving differential subordination implications. This paper continues such efforts by considering the analytic function p and obtains differential subordination relations involving 1+βp′(z)pk(z).
C. E. Wong, S. Abdul Halim
openaire   +1 more source