Synthesis methodology of a compliant exact long dwell mechanism using elastica theory

Sönmez, Ümit

doi:10.1007/s10999-006-9014-y

Cited by 6 publications

(4 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is now high time that it should return to the plainness and soundness of observations on material and obvious things. (Hooke 1665/2006 In 1676 Hooke reported on the results of an extensive experimental investigation into how materials respond when loaded by a tensile force. He found that a wide variety of materials ''whether metal, wood, stones, baked earth, hair, horns, silk, bones, sinews, glass and the like'' undergo extension according to a linear law.…”

Section: Scientific Methodologymentioning

confidence: 99%

“…2. Before we continue, we note that the post-buckled rod is not simply a mathematical curiosity, but finds wide applications in engineering and the physical sciences: in deep-sea cable and pipe-laying operations (Coyne 1990), tangling in cable-buoy systems (Berteaux 1976), mechanism design (Sönmez 2006), the textile industry (Hearle 2000), and in many areas of biology, notably as a model for the writhing of DNA (Balaeff et al 2006;Travers and Thompson 2004).…”

mentioning

confidence: 99%

See 1 more Smart Citation

The History of the Planar Elastica: Insights into Mechanics and Scientific Method

Goss

2008

Sci & Educ

View full text Add to dashboard Cite

Euler's formula for the buckling of an elastic column is widely used in engineering design. However, only a handful of engineers will be familiar with Euler's classic paper De Curvis Elasticis in which the formula is derived. In addition to the Euler Buckling Formula, De Curvis Elasticis classifies all the bent configurations of elastic roda landmark in the development of a rational theory of continuum mechanics. As a historical case study, Euler's work on elastic rods offers an insight into some important concepts which underlie mechanics. It sheds light on the search for unifying principles of mechanics and the role of analysis. The connection between results obtained from theory and those obtained from experiments on rods, highlights two different approaches to scientific discovery, which can be traced back to Bacon, Descartes and Galileo. The bent rod also has an analogy in dynamics, with a pendulum, which highlights the crucial distinctions between initial value and boundary value problems and between linear and nonlinear differential equations. In addition to benefiting from the overview which a historical study provides, the particular problem of the elastica offers students of science and engineering a clear elucidation of the connection between mathematics and real-world engineering, issues which still have relevance today.

show abstract

Section: Scientific Methodologymentioning

confidence: 99%

mentioning

confidence: 99%

The History of the Planar Elastica: Insights into Mechanics and Scientific Method

Goss

2008

Sci & Educ

View full text Add to dashboard Cite

show abstract

“…For beam, the nodal force ( ) and the nodal displacement ( ) of a flexible beam can be expressed using the dynamic stiffness matrix ( ) [5]. The Euler-Bernoulli beam theory is used to get the dynamic stiffness matrix of flexible straight beam [9].…”

Section: Beam 21mentioning

confidence: 99%

Sensitivity Analysis of XY- Precision Positioning Compliant Mechanism

Said

Awad²,

Hedaya³

et al. 2022

Port-Said Engineering Research Journal

View full text Add to dashboard Cite

Compliant mechanism becomes a promising alternative to the traditional ones for precision applications. Flexure hinge compliant mechanisms have been used in different fields. However, the design of their geometric parameters is so critical. Therefore, a lot of work are done in optimization of their design parameters. One of the main important steps is to select the sensitive parameters in such design problems. In this article a study of sensitivity of geometric parameters of positioning stage compliant mechanism are represented to be used as a pilot step for the selection of the optimization design variables. The effect of each parameter is regarding to the achieved amplification ratio of the positioning stage and the input stiffness of the mechanism. The modeling is done using Pseudo-Rigid-Body Model on MATLAB. The sensitivity analysis is done using ISIGTH software. The results of different sensitivity analysis methods reveal the most important parameters of the compliant mechanism that have significant effect on amplification ratio.

show abstract

“…EBF finds practical applications on the macroscopic level, e.g. in deep-sea cable and pipe laying operations [4], in mechanical engineering designing stable mechanisms [5], wind turbine towers design [6], and the behaviour of nitinol rods provides an excellent match with the elastica theory [7]. Also, Hiroshi Yoshihara and Makoto Maruta conducted buckling tests of slender wood elements in order to determine critical load using the elastica theory [8].…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Manecka-Padaż,

Jenczyk,

Pęcherski

et al. 2022

View full text Add to dashboard Cite

An in-situ nanoindenter with a flat tip was employed to conduct buckling tests of a single nanowire with simultaneous SEM imaging. A series of SEM images allowed us to calculate deflection. The deflection was confronted with the mathematical model of elastica. The post-buckling behaviour of nanowires is conducted in the framework of the nonlinear elasticity theory. Results show the significant effect of geometrical parameters on the stability of buckled nanowires.

show abstract

Synthesis methodology of a compliant exact long dwell mechanism using elastica theory

Cited by 6 publications

References 27 publications

The History of the Planar Elastica: Insights into Mechanics and Scientific Method

The History of the Planar Elastica: Insights into Mechanics and Scientific Method

Sensitivity Analysis of XY- Precision Positioning Compliant Mechanism

Bulletin of the Polish Academy of Sciences: Technical Sciences

Contact Info

Product

Resources

About