Collapse state of elliptical masonry arches after finite displacements of the supports

2020 ◽  
Vol 114 ◽  
pp. 104593 ◽  
Author(s):  
Fabio Di Carlo ◽  
Simona Coccia
Keyword(s):  
Masonry Arches ◽  
Collapse State ◽  
Finite Displacements

scholarly journals Non-linear dynamic joint selection strategy for Hinge controlled masonry arches

2020 ◽  
Author(s):  
Gabriel Stockdale ◽  
Vasilis Sarhosis ◽  
Gabriele Milani
Keyword(s):  
Selection Strategy ◽  
Masonry Arches ◽  
Linear Dynamic ◽  
Non Linear

An Investigation of Screw Systems in the Finite Displacements of Bennett-Based 6R Linkages

1999 ◽  
Vol 122 (4) ◽  
pp. 426-430 ◽  
Author(s):  
Chintien Huang ◽  
Chi-Chih Sun
Keyword(s):  
Numerical Simulations ◽  
Second Order ◽  
Finite Displacement ◽  
Finite Displacements ◽  
Overconstrained Linkages

This paper investigates, via numerical simulations, the finite displacements of all the known Bennett-based 6R overconstrained linkages: Goldberg’s 6R, variant Goldberg 6R, Waldron’s hybrid 6R, and Wohlhart’s hybrid 6R linkages. An investigation of the finite displacements of nine distinct linkages reveals that every Bennett-based 6R linkage, except for the isomerization of Wohlhart’s hybrid linkage, inherits the linear properties of the Bennett mechanism. The relative finite displacement screws of some non-adjacent links of these linkages form screw systems of the second order. Thirty-one screw systems are reported in this paper. [S1050-0472(00)02204-2]

Notes on Screw Product Operations in the Formulations of Successive Finite Displacements

1994 ◽  
Author(s):  
Chintien Huang
Keyword(s):  
Scalar Product ◽  
Direction Cosine ◽  
Linear Representation ◽  
Finite Displacements

Abstract Geometrical interpretations of two line-based formulations of successive finite displacements in terms of screw product operations is discussed. The pitch of the screw product of two unit line vectors is shown to be the ratio of the distance to the tangent of the projected angle between the two lines. Finite twists in Dimentberg’s formulation are interpreted as the screw product of unit line vectors divided by the scalar product of the same unit line vectors. Finite twists in the linear representation are the screw product of unit line vectors divided by the scalar product of the direction-cosine vectors of the same lines.

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