scholarly journals Formation of the system indicators analytic dependence during bisubject qualimetric evaluation of arbitrary objects

2016 ◽  
Vol 124 ◽  
pp. 012078
Author(s):  
A Morozova
Keyword(s):  
Analytic Dependence ◽  
Arbitrary Objects

scholarly journals Existence results for a nonlinear nonautonomous transmission problem via domain perturbation

2021 ◽  
pp. 1-26
Author(s):  
Matteo Dalla Riva ◽  
Riccardo Molinarolo ◽  
Paolo Musolino
Keyword(s):  
Boundary Value Problem ◽  
Laplace Equation ◽  
Boundary Value ◽  
Perturbation Parameter ◽  
Existence Results ◽  
Transmission Problem ◽  
Perforated Domain ◽  
Analytic Dependence ◽  
Domain Perturbation ◽  
Fixed Domain

In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism $\phi$ . First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter $\phi$ .

scholarly journals Path Planning for 3-D In-Hand Manipulation of Micro-Objects Using Rotation Decomposition

Micromachines ◽  
2021 ◽  
Vol 12 (8) ◽  
pp. 986
Author(s):  
Pardeep Kumar ◽  
Michaël Gauthier ◽  
Redwan Dahmouche
Keyword(s):  
Main Idea ◽  
Robotic Manipulation ◽  
Moderate Increase ◽  
Adhesion Forces ◽  
Dexterous Manipulation ◽  
Confined Spaces ◽  
Direct Extension ◽  
Exponential Increase ◽  
Simulation Results ◽  
Arbitrary Objects

Robotic manipulation and assembly of micro and nanocomponents in confined spaces is still a challenge. Indeed, the current proposed solutions that are highly inspired by classical industrial robotics are not currently able to combine precision, compactness, dexterity, and high blocking forces. In a previous work, we proposed 2-D in-hand robotic dexterous manipulation methods of arbitrary shaped objects that considered adhesion forces that exist at the micro and nanoscales. Direct extension of the proposed method to 3-D would involve an exponential increase in complexity. In this paper, we propose an approach that allows to plan for 3-D dexterous in-hand manipulation with a moderate increase in complexity. The main idea is to decompose any 3-D motion into a 3-D translation and three rotations about specific axes related to the object. The obtained simulation results show that 3-D in-hand dexterous micro-manipulation of arbitrary objects in presence of adhesion forces can be planned in just few seconds.

Comments on Alasdair Urquhart’s “Fine on Arbitrary Objects”

2020 ◽  
pp. 418-422
Author(s):  
Kit Fine
Keyword(s):  
History Of Mathematics ◽  
History Of ◽  
Arbitrary Objects

Alasdair Urquhart’s chapter is a wonderful mix of observations on the theory of arbitrary objects, ranging over a number of historical, logical, and philosophical aspects of the theory. I was especially interested in what he had to say about the evolving conception of variables in the history of mathematics and, in the light of my own previous somewhat casual remarks on the topic, I would now like to follow up on his discussion....

Determination of the Interference Geometry Between Two Convex Objects

2006 ◽  
Author(s):  
Lianzhen Luo ◽  
Meyer Nahon
Keyword(s):  
Contact Force ◽  
Contact Area ◽  
Contact Dynamics ◽  
Continuous Contact ◽  
Application Point ◽  
Haptic Interactions ◽  
Fitting Method ◽  
Best Fitting ◽  
Arbitrary Objects

The determination of the interference geometry between two arbitrary objects is an essential problem encountered in the simulation of continuous contact dynamics and haptic interactions. In these applications, with known material properties, the interbody contact force is only a function of the interference geometry between two objects. Here a theoretical basis and algorithms for the calculation of the interference geometry, such as overlap region, contact area and normal, and interference volume, are presented. Two methods to obtain the contact area and normal are analyzed: an area-weighted method and a best-fitting method. The geometric properties of the area-weighted method are presented and the degenerate cases related to both methods are discussed. Methods to calculate the application point of an interbody contact force are discussed. Some numerical simulation results are presented based on the implementation of the geometric algorithms, which are verified by comparison with hand calculation. The continuity of contact normal and its application point are demonstrated for a case in which the contacting objects smoothly move with respect to each other in the simulation.

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