Regular Polygonal and Regular Spherical Polyhedral Linkages Comprising Bennett Loops

Date

2009-05-08

Author

Kiper, Goekhan
Söylemez, Eres

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

210
views

0
downloads

In this study, assemblies of Bennett loops constructing regular polygonal linkages and regular polyhedral linkages are presented. The regular polyhedral linkages, necessarily, depend on spherical polyhedral shapes. Most of the resulting linkages have single degree of freedom, but there are exceptions such as a cubic linkage.

Subject Keywords

Overconstrained linkage, Polyhedral linkage, Bennett linkage

URI

https://hdl.handle.net/11511/36571

DOI

https://doi.org/10.1007/978-3-642-01947-0_31

Collections

Department of Mechanical Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

FEM APPROXIMATION OF MAXWELL EQUATIONS: THE SOURCE PROBLEM, EIGENPROBLEM, AND ELECTROMAGNETIC WAVES Dağlı, Tugay; Türk, Önder; Department of Scientific Computing (2023-1-25) In this thesis, edge-based finite element method (FEM) approximations of Maxwell's equations describing the relationship between the space variables and sources along the electromagnetic field are considered. In particular, the lowest-order Nédélec basis functions are implemented to construct the FEM model of the Maxwell source problem, Maxwell eigenvalue problem (EVP), and electromagnetic wave propagation problem. A computational model is constructed to conduct all these problems in the same framework of a...
Elastic analysis of orthotropic cylinders under different boundary conditions Farukoğlu, Ömer Can; Eraslan, Ahmet Nedim; Department of Engineering Sciences (2016) Analytical solutions are derived to examine the elastic responses of fixed end cylinders made of orthotropic materials. Cylinders are investigated under different boundary conditions which are internal pressure, external pressure, combined pressure and annular rotation respectively. Making use of Maxwell relations, orthotropic cylinders are transformed to isotropic ones. In order to exhibit numerical examples different orthotropic materials are used and compared. It is observed that orthotrophy slightly inf...
Fulleroid-Like Linkages Kiper, Goekhan (2008-09-20) The Fulleroid, discovered by K. Wohlhart, is a 48-link overconstrained spatial linkage which expands and contracts within a rhombic dodecahedral boundary. In this paper, some similar types of linkages are synthesized based on some observations on the Fulleroid. First an infinite class of 24-faced polyhedral linkages is described. Next the idea is generalized for polyhedra having rhombic faces. Then analyzing these linkages a basic closed chain is derived as a module and some dipyramidal and stellated polyhe...
Homothetic Jitterbug-like linkages Kiper, Goekhan; Söylemez, Eres (2012-05-01) Conformal polyhedral linkages have drawn attention of scientists and engineers since the invention of Buckminster Fuller: a highly overconstrained spatial linkage, the Jitterbug. Many studies aimed to generalize Jitterbug-like linkages have been published, however a complete classification does not yet exist. This study introduces a definition for Jitterbug-like linkages and two major assumptions and then focuses on the properties of homothetic linkages.
Solenoidal bases for numerical studies of transition in pipe flow Tugluk, Ozan; Tarman, Işık Hakan (2010-12-01) In this paper, solenoidal basis functions are employed in numerical studies of transition in incompressible pipe flow. The bases are formulated in terms of Legendre polynomials, which are more favorable both for the functional form of the basis functions and for the inner product integrals arising in the Galerkin projection scheme. The projection is performed onto the dual solenoidal basis set to eliminate the pressure gradient term from the governing equations. This simplifies the numerical approach to the...

Citation Formats

G. Kiper and E. Söylemez, “Regular Polygonal and Regular Spherical Polyhedral Linkages Comprising Bennett Loops,” 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36571.