An integral case of the axisymmetric shape equation of open vesicles with free edges

2018 ◽  
Vol 106 ◽  
pp. 25-28 ◽  
Author(s):  
Xiaohua Zhou
Keyword(s):  
Shape Equation ◽  
Axisymmetric Shape ◽  
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scholarly journals First integrals of the axisymmetric shape equation of lipid membranes

2018 ◽  
Vol 27 (3) ◽  
pp. 038704 ◽  
Author(s):  
Yi-Heng Zhang ◽  
Zachary McDargh ◽  
Zhan-Chun Tu
Keyword(s):  
Lipid Membranes ◽  
First Integrals ◽  
Shape Equation ◽  
Axisymmetric Shape

Hot-wire thermal stress cleaving process of glass with micro crack-free edges

2019 ◽  
Vol 35 (5) ◽  
pp. 491-497
Author(s):  
Kun Wang ◽  
Wenhao Li ◽  
Zhanshan Wang
Keyword(s):  
Thermal Stress ◽  
Hot Wire ◽  
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Simulation of Residual Stress in Lens Deposited H13 Tool Steel on Copper Substrate

2011 ◽  
Author(s):  
Tushar K. Talukdar ◽  
Liang Wang ◽  
Sergio D. Felicelli
Keyword(s):  
Residual Stress ◽  
Tool Steel ◽  
Laser Power ◽  
Copper Substrate ◽  
Scanning Speed ◽  
Temperature History ◽  
H13 Tool Steel ◽  
Scanning Strategies ◽  
Stress Accumulation ◽  
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Solidification cracking represents a significant scientific and technical challenge in the rapid fabrication of bimetallic parts involving Cu and H13 tool steel. The main cause of the cracking formation is attributed to the residual stress accumulation, which depends on the thermal history and phase transformation during the deposition. In this research, a thermomechanical three-dimensional finite element model is developed to determine the temperature history and residual stress in Cu-H13 samples deposited by the Laser Engineered Net Shaping (LENS) process. The development of the model was carried out using the SYSWELD software package. The metallurgical transformations are taken into account using the temperature dependent material properties and the continuous cooling transformation diagram. Two different scanning strategies — alternative and unidirectional — are studied. The same model is also applied to a H13-H13 sample to compare the results. The input laser power is optimized for each layer and three different scanning speeds to maintain a steady molten pool size. It is observed that for a constant scanning speed the required laser power decreases with addition of more layers, and with the increase of scanning speed the laser power needs to be increased. The residual stress is found to be compressive near the center of the deposited wall and tensile at the free edges, which is consistent with the published experimental results in the literature. Similar stress distributions are obtained for both scanning strategies with higher stress concentration at the free edges of the interface between the substrate and the first layer. In these regions, the use of H13 substrate results in a higher stress accumulation than the Cu substrate.

Mechatronic Design of a Mobile Robot for Personal Assistance

2021 ◽  
Author(s):  
Luigi Tagliavini ◽  
Andrea Botta ◽  
Luca Carbonari ◽  
Giuseppe Quaglia ◽  
Dario Gandini ◽  
...  
Keyword(s):  
Mobile Robot ◽  
Home Environment ◽  
State Of The Art ◽  
Assistive Robotics ◽  
Personal Assistance ◽  
Differential Drive ◽  
Electrical Systems ◽  
Moving Obstacles ◽  
Design Paradigm ◽  
Axisymmetric Shape

Abstract In this paper, a novel mobile platform for assistive robotics tasks is presented. The machine is designed for working in a home environment, un-structured and possibly occupied by people. To work in this space, the platform must be able to get rid of all the consequent difficulties: to overpass small objects as steps and carpets, to operate with an as-high-as-possible dynamics, to avoid moving obstacles, and to navigate autonomously to track persons for person monitoring purposes. The proposed platform is designed to have an omni-directional mobility that improves the manoeuvrability with respect to state-of-the-art differential drive robots. It also will have a non-axisymmetric shape to easily navigate narrow spaces, and real-time edge computing algorithms for navigation. This work shows the design paradigm adopted for the realization of a novel mobile robot, named Paquitop. For a robust output, the design process used a modular approach which disjointed the several sub-systems which compose the machine. After a brief analysis of the expected features, a set of basic requirements are drawn to guide the functional and executive design. The overall architecture of the platform is presented, together with some details on the mechanical and electrical systems.

Numerical Simulation Research on the Shape of Top Coal Drawn-Body in Gently Inclined Seam

2012 ◽  
Vol 468-471 ◽  
pp. 2248-2254
Author(s):  
Qiang Li ◽  
Wan Kui Bu ◽  
Hui Xu ◽  
Xiao Bo Song
Keyword(s):  
Numerical Simulation ◽  
Numerical Model ◽  
Random Medium ◽  
Body Movement ◽  
The Other ◽  
Simulation Research ◽  
Research Results ◽  
Shape Equation ◽  
The Difference ◽  
Meso Scale

The numerical model of top coal drawing in gently inclined seam is built based on PFC2d software. By comparing with the theory of drawn-body movement law, it can be obtained that the shape of top coal drawn-body accords with the theory of random medium movement. The research results show that the form of the shape equation of top coal drawn-body is uniform while the top coal caving angle is different. On the other hand, with the difference of top coal caving angle and drawing height, the shape of top coal drawn-body is differential at the meso scale, which depends on the parameters of the shape equation of top coal drawn-body.

EQUIVALENCE OF THE TWO METHODS IN CALCULATING THE EQUILIBRIUM SHAPES OF CYLINDRICAL VESICLES

1999 ◽  
Vol 13 (16) ◽  
pp. 547-553
Author(s):  
SHAOGUANG ZHANG ◽  
ZHONGCAN OUYANG ◽  
JIXING LIU
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
The Other ◽  
General Shape ◽  
Calculus Of Variation ◽  
And Topology ◽  
Shape Equation ◽  
Equilibrium Shapes ◽  
Comparison Of The Results ◽  
The Relationship

So far, two methods are often used in solving the equilibrium shapes of vesicles. One method is by starting with the general shape equation and restricting it to the shapes with particular symmetry. The other method is by assuming the symmetry and topology of the vesicle first and treating it with the calculus of variation to get a set of ordinary differential equations. The relationship between these two methods in the case of cylindrical vesicles, and a comparison of the results are given.

Crack front morphology near the free edges in double and single cantilever beam fracture experiments

2017 ◽  
Vol 175 ◽  
pp. 219-234 ◽  
Author(s):  
Alex Møberg ◽  
Michal K. Budzik ◽  
Henrik M. Jensen
Keyword(s):  
Cantilever Beam ◽  
Crack Front ◽  
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