The spherical rigid body: A pole-dipole singularity

1978 ◽  
Vol 47 (1) ◽  
pp. 54-100 ◽  
Author(s):  
A. Barducci ◽  
L. Lusanna
Keyword(s):  
Rigid Body ◽  
Spherical Rigid Body

Synthesis of Spherical Linkages With Use of the Displacement Matrix

1967 ◽  
Vol 89 (2) ◽  
pp. 215-221 ◽  
Author(s):  
C. H. Suh ◽  
C. W. Radcliffe
Keyword(s):  
Rigid Body ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Path Generation ◽  
Function Generation ◽  
Spherical Linkages ◽  
Spherical Rigid Body

Equations of synthesis are derived which are based upon rigid body motion expressed as a displacement matrix. Applications are shown in spherical rigid body guidance, function generation, and path generation.

Molecular Collisions. IV. Nearly Spherical Rigid Body Approximation

1962 ◽  
Vol 3 (6) ◽  
pp. 1059-1072 ◽  
Author(s):  
George Gioumousis ◽  
C. F. Curtiss
Keyword(s):  
Rigid Body ◽  
Molecular Collisions ◽  
Spherical Rigid Body

The Synthesis of Spherical Motion Generators in the Presence of an Incomplete Set of Attitudes

2014 ◽  
Vol 6 (3) ◽  
Author(s):  
Khalid Al-Widyan ◽  
Jorge Angeles
Keyword(s):  
Rigid Body ◽  
Engineering Design ◽  
Theoretical Framework ◽  
General Methodology ◽  
Four Bar Linkage ◽  
Robust Engineering Design ◽  
Guidance Problem ◽  
Spherical Motion ◽  
Spherical Rigid Body ◽  
Selection Of

Proposed in this paper is a general methodology applicable to the synthesis of spherical motion generators in the presence of an incomplete set of finitely separated attitudes. The spherical rigid-body guidance problem in the realm of four-bar linkage synthesis can be solved exactly for up to five prescribed attitudes of the coupler link, and hence, any number of attitudes smaller than five is considered incomplete in this paper. The attitudes completing the set are determined to produce a linkage whose performance is robust against variations in the unprescribed attitudes. Robustness is needed in this context to overcome the presence of uncertainty due to the selection of the unspecified attitudes, that many a time are specified implicitly by the designer upon choosing, for example, the location of the fixed joints of the dyads. A theoretical framework for model-based robust engineering design is thus, recalled, and a methodology for the robust synthesis of spherical four-bar linkages is laid down. An example is included here to concretize the concepts and illustrate the application of the proposed methodology.

Perforation of Layered Structures by a Spherical Rigid Body

2021 ◽  
Vol 56 (2) ◽  
pp. 189-196
Author(s):  
N. V. Banichuk ◽  
S. Yu. Ivanova ◽  
K. Yu. Osipenko
Keyword(s):  
Rigid Body ◽  
Layered Structures ◽  
Spherical Rigid Body

A Robust Solution to the Spherical Rigid-Body Guidance Problem

2003 ◽  
Author(s):  
Khalid Al-Widyan ◽  
Jorge Angeles
Keyword(s):  
Rigid Body ◽  
Robust Solution ◽  
Robust Algorithm ◽  
Guidance Problem ◽  
Spherical Rigid Body ◽  
Unit Vectors ◽  
Linkage Synthesis

In this paper we introduce a robust algorithm to solve the five-attitude spherical Burmester problem associated with exact linkage synthesis. The proposed algorithm solves for the unit vectors determining the four joint centers of the linkage while taking into account all redundant equations available, which enhances the robustness of the algorithm. In order to show the applicability of the proposed algorithm and to validate its robustness, two examples are included.

Elimination of the nodes when the satellite is a non spherical rigid body

1989 ◽  
Vol 46 (4) ◽  
pp. 307-320 ◽  
Author(s):  
Jos�-Manuel Ferrandiz ◽  
Mar�a-Eugenia Sansaturio
Keyword(s):  
Rigid Body ◽  
Spherical Rigid Body

scholarly journals MOTION OF A NEARLY DYNAMICALLY SPHERICAL RIGID BODY WITH A CAVITY FILLED WITH A VISCOUS FLUID

2019 ◽  
Vol 1 (1) ◽  
pp. 17-24
Author(s):  
L. Akulenko ◽  
◽  
D. Leshchenko ◽  
E. Palii ◽  
◽  
...  
Keyword(s):  
Viscous Fluid ◽  
Rigid Body ◽  
Spherical Rigid Body
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