Is there a characteristic length of a rigid-body displacement?

2006 ◽  
Vol 41 (8) ◽  
pp. 884-896 ◽  
Author(s):  
Jorge Angeles
Keyword(s):  
Rigid Body ◽  
Characteristic Length ◽  
Rigid Body Displacement

Protein–Protein Docking with Simultaneous Optimization of Rigid-body Displacement and Side-chain Conformations

2003 ◽  
Vol 331 (1) ◽  
pp. 281-299 ◽  
Author(s):  
Jeffrey J. Gray ◽  
Stewart Moughon ◽  
Chu Wang ◽  
Ora Schueler-Furman ◽  
Brian Kuhlman ◽  
...  
Keyword(s):  
Rigid Body ◽  
Protein Docking ◽  
Simultaneous Optimization ◽  
Side Chain ◽  
Rigid Body Displacement ◽  
Chain Conformations

The rigid-body displacement observed at the Σ = 5, (310)-[001] symmetric tilt grain boundary in central transition bcc metals

2002 ◽  
Vol 82 (8) ◽  
pp. 1573-1594
Author(s):  
Geoffrey H. Campbell ◽  
Mukul Kumar ◽  
Wayne E. King ◽  
James Belak ◽  
John A. Moriarty ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Rigid Body ◽  
Bcc Metals ◽  
Central Transition ◽  
Symmetric Tilt ◽  
Rigid Body Displacement ◽  
Tilt Grain Boundary

Synthesis of Planar, Shape-Changing Rigid-Body Mechanisms

2006 ◽  
Author(s):  
Brian M. Korte ◽  
Andrew P. Murray ◽  
James P. Schmiedeler
Keyword(s):  
Rigid Body ◽  
Degrees Of Freedom ◽  
Shape Change ◽  
Piecewise Linear ◽  
Single Chain ◽  
Open Chain ◽  
Revolute Joints ◽  
Planar Shape ◽  
Rigid Body Displacement ◽  
Planar Linkages

This paper presents a procedure to synthesize planar linkages, composed of rigid links and revolute joints, capable of approximating a shape change defined by a set of curves. These “morphing curves” differ from each other by a combination of rigid-body displacement and shape change. Rigid link geometry is determined through analysis of piecewise linear curves to achieve shape-change approximation, and increasing the number of links improves the approximation. A mechanism is determined through connecting the rigid links into a single chain and adding dyads to eliminate degrees of freedom. The procedure is applied to two open-chain examples.

The rigid-body displacement observed at the ∑ = 5, (310)-[001] symmetric tilt grain boundary in central transition bcc metals

2002 ◽  
Vol 82 (8) ◽  
pp. 1573-1594 ◽  
Author(s):  
Geoffrey H. Campbell ◽  
Mukul Kumar ◽  
Wayne E. King ◽  
James Belak ◽  
John A. Moriarty ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Rigid Body ◽  
Bcc Metals ◽  
Central Transition ◽  
Symmetric Tilt ◽  
Rigid Body Displacement ◽  
Tilt Grain Boundary

Optimal Shear Key Interval for Offshore Shallow Foundations

2013 ◽  
Author(s):  
Xiaowei Feng ◽  
Susan Gourvenec
Keyword(s):  
Rigid Body ◽  
Shallow Foundations ◽  
Soil Plug ◽  
Shear Key ◽  
Optimal Capacity ◽  
Shear Keys ◽  
Optimal Spacing ◽  
Minimum Number ◽  
Rigid Body Displacement ◽  
Six Degree Of Freedom

Embedment of offshore shallow foundations is typically achieved by ‘skirts’, i.e. thin vertical plates that protrude from the underside of a foundation top plate and penetrate the seabed confining a soil plug. Skirted shallow foundations are often idealized as a solid, rigid element for geotechnical analysis of the foundation, on the assumption that sufficient skirts, or ‘shear keys’ will be provided to ensure that the deformable soil plug displaces as a rigid body. Should too few shear keys be provided, failure mechanisms involving deformation within the soil plug may occur, leading to a reduction in load-carrying capacity. There is currently no formal guidance regarding the optimal spacing of shear keys to ensure rigid body displacement of the soil plug. The absence of guidance may lead to unconservative designs if the number of shear keys is under estimated to save on fabrication or to conservative designs if additional shear keys are provided to minimize the risk associated with the uncertainty. Either case is undesirable and clear benefit is to be gained from a better understanding of shear key spacing. This paper presents guidance on the minimum number of shear keys required to achieve optimal capacity of square and rectangular skirted foundations (i.e. equivalent to that of a solid rigid foundation) under undrained generalized six degree-of-freedom loading in soft soils with linearly increasing shear strength with depth.

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