Tensegrity frameworks: Static analysis review

SH Juan, JMM Tur - Mechanism and Machine Theory, 2008 - Elsevier
This paper hands in a review of the basic issues about the statics of tensegrity structures.
Definitions and notation for the most important concepts, borrowed from the vast existing …

Higher-order rigidity—What is the proper definition?

R Connelly, H Servatius - Discrete & Computational Geometry, 1994 - Springer
We show that there is a bar-and-joint framework G (p) which has a configuration p in the
plane such that the component of p in the space of all planar configurations of G has a cusp …

[HTML][HTML] Unified classification of stability of pin-jointed bar assemblies

H Deng, ASK Kwan - International Journal of Solids and Structures, 2005 - Elsevier
Based on the energy criterion and geometrical nonlinearity theory, this paper broadens
conventional concepts of structural stability to explain some non-generic stability …

Symmetry conditions and finite mechanisms

S Guest, P Fowler - Journal of Mechanics of Materials and Structures, 2007 - msp.org
The identification of finite mechanisms in statically and kinematically indeterminate
structures is, in general, a difficult problem. However, Kangwai and Guest [1999] showed …

Determination of mechanism's order for kinematically and statically indetermined systems

N Vassart, R Laporte, R Motro - International Journal of Solids and …, 2000 - Elsevier
This paper deals with the mechanisms in kinematically and statically indeterminate
reticulated systems. Knowledge of length variation amplitude for members in association …

Prestress stability of pin-jointed assemblies using ant colony systems

Y Chen, J Feng, Y Wu - Mechanics Research Communications, 2012 - Elsevier
Prestress stability is the key of whether a pin-jointed assembly could be transformed into a
tensegrity structure. This study developed an optimization model to investigate the prestress …

How to recognize the order of infinitesimal mechanisms: a numerical approach

G Salerno - International journal for numerical methods in …, 1992 - Wiley Online Library
Structures presenting kinematical inderterminacy are usually called mechanisms. This paper
is entirely concerned with assemblies which reveal themselves to be mechanisms at a null …

[HTML][HTML] A global approach for the redefinition of higher-order flexibility and rigidity

G Nawratil - Mechanism and Machine Theory, 2025 - Elsevier
The famous example of the double-Watt mechanism given by Connelly and Servatius raises
some problems concerning the classical definitions of higher-order flexibility and rigidity …

[HTML][HTML] Analytical and numerical investigation of second-order infinitesimal mechanism in rigid origami

K Hayakawa, T Ohba, M Ohsaki - Mechanism and Machine Theory, 2024 - Elsevier
This study investigates second-order infinitesimal mechanisms and bifurcation paths of rigid
origamis with multiple-degree-of-freedom mechanisms. A truss model, consisting of pin …

A matrix method to determine infinitesimally mobile linkages with only first-order infinitesimal mobility

L Wu, A Mueller, JS Dai - Mechanism and Machine Theory, 2020 - Elsevier
Immobile linkages admitting only (possibly higher-order) infinitesimal mobility are shaky
structures. In the past, determination of the order of mobility or shakiness was usually …