Closed-Form Solutions for the Large Deflections of Curved Optical Glass Fibers Under Combined Loads

1993 ◽  
Vol 115 (3) ◽  
pp. 337-339 ◽  
Author(s):  
J. H. Lau
Keyword(s):  
Closed Form ◽  
Optical Glass ◽  
Glass Fibers ◽  
Large Deflections ◽  
Closed Form Solutions ◽  
Combined Loads

Evaluating Compliant Hinge Geometries for Origami-Inspired Mechanisms

2015 ◽  
Vol 7 (1) ◽  
Author(s):  
Isaac L. Delimont ◽  
Spencer P. Magleby ◽  
Larry L. Howell
Keyword(s):  
Closed Form ◽  
Design Space ◽  
Compliant Mechanisms ◽  
Large Deflections ◽  
Center Of Rotation ◽  
Closed Form Solutions ◽  
Potential Development ◽  
Design Guide

Origami-inspired design is an emerging field capable of producing compact and efficient designs. Compliant hinges are proposed as a way to replicate the folding motion of paper when using nonpaper materials. Compliant hinges function as surrogate folds and can be defined as localized reduction of stiffness. The purpose of this paper is to organize and evaluate selected surrogate folds for use in compliant mechanisms. These surrogate folds are characterized based on the desired motion as well as motions typically considered parasitic. Additionally, the surrogate folds' ability to rotate through large deflections and their stability of center of rotation are evaluated. Existing surrogate folds are reviewed and closed-form solutions presented. A diagram intended as a straightforward design guide is presented. Areas for potential development in the surrogate fold design space are noted.

Evaluating Compliant Hinge Geometries for Origami-Inspired Mechanisms

2014 ◽  
Author(s):  
Isaac L. Delimont ◽  
Spencer P. Magleby ◽  
Larry L. Howell
Keyword(s):  
Closed Form ◽  
Design Space ◽  
Compliant Mechanisms ◽  
Large Deflections ◽  
Center Of Rotation ◽  
Closed Form Solutions ◽  
Potential Development ◽  
Design Guide

Origami-inspired design is an emerging field capable of producing compact and efficient designs. Compliant hinges are proposed as a way to replicate the folding motion of paper when using non-paper materials. Compliant hinges function as surrogate folds and can be defined as localized reduction of stiffness. The purpose of this paper is to organize and evaluate selected surrogate folds for use in compliant mechanisms. These surrogate folds are characterized based on the desired motion as well as motions typically considered parasitic. Additionally the surrogate folds’ ability to rotate through large deflections and their stability of center of rotation are evaluated. Existing surrogate folds are reviewed and closed-form solutions presented. A diagram intended as a straightforward design guide is presented. Areas for potential development in the surrogate fold design space are noted.

A Family of Dual-Segment Compliant Joints Suitable for Use as Surrogate Folds

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
Isaac L. Delimont ◽  
Spencer P. Magleby ◽  
Larry L. Howell
Keyword(s):  
Closed Form ◽  
Compliant Mechanisms ◽  
Large Deflections ◽  
Closed Form Solutions ◽  
Compliant Joints

Origami-inspired design is an emerging field capable of producing compact and efficient designs. The object of a surrogate fold is to provide a foldlike motion in a nonpaper material without undergoing yielding. Compliant mechanisms provide a means to achieve these objectives as large deflections are achieved. The purpose of this paper is to present a continuum of compliant joints capable of achieving motions not currently available with existing compliant joints. A series of compliant joints are presented in which the joint can be designed to allow or resist a variety of secondary motions. Closed-form solutions are presented for these compliant joints.

Crushing analysis of rotationally symmetric plastic shells

1982 ◽  
Vol 17 (4) ◽  
pp. 229-236 ◽  
Author(s):  
J G De Oliveira ◽  
T Wierzbicki
Keyword(s):  
Spherical Shell ◽  
Closed Form ◽  
Conical Shell ◽  
Point Load ◽  
Large Deflections ◽  
Uniform Pressure ◽  
Spherical Cap ◽  
Closed Form Solutions ◽  
General Methodology ◽  
Rotationally Symmetric

The crushing analysis of rotationally symmetric plastic shells undergoing very large deflections is presented. A general methodology is developed and simple closed-form solutions are derived for the case of a conical shell, a spherical shell under point load, a spherical shell crushed between rigid plates and under boss loading, and a spherical cap under external uniform pressure.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling
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