Add to ORKGHow must n equal circles of given radius be placed so that they cover as great a part of the area of the unit circle as possible? To analyse this mathematical problem, mechanical models are introduced. A generalized tensegrity structure is associated with a maximum area configuration of the n circles, whose equilibrium configuration is determined numerically with the method of dynamic relaxation, and the stability of equilibrium is investigated by means of the stiffness matrix of the tensegrity structure. In this Part I, the principles of the models are presented, while an application will be shown in the forthcoming Part II
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...
This study presents a general approach to the topology design of tensegrities with rigid bodies. To ...
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...
How must n equal circles of given radius be placed so that they cover as great a part of the area of...
How must n equal circles of given radius r be placed so that they cover as great a part of the area ...
Background: Some medical and technological tasks lead to the geometrical problem of how to cover the...
The design of mechanical systems normally exploits numerical analysis and optimization.We make a ple...
The paper concerns steel domes with regard to the special structures named tensegrity. Tensegrities ...
A tensegrity system is considered here as a stable pin-jointed cable-bar framework with a rank-defic...
During the design of mechanical systems one normallyexploits numerical analysis and optimization too...
p. 2243-2250This study tries to contribute in a particular way to the application of the tensegrity ...
AbstractKinematics and statics of tensegrities are addressed by means of a novel algebraic formulati...
The linearized equations of motion for tensegrity structures around arbitrary equilibrium configurat...
We give an algorithm for solving the form-finding problem, that is, for finding stable placements of...
Kinematics and statics of tensegrities are addressed by means of a novel algebraic formulation. The ...
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...
This study presents a general approach to the topology design of tensegrities with rigid bodies. To ...
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...
How must n equal circles of given radius be placed so that they cover as great a part of the area of...
How must n equal circles of given radius r be placed so that they cover as great a part of the area ...
Background: Some medical and technological tasks lead to the geometrical problem of how to cover the...
The design of mechanical systems normally exploits numerical analysis and optimization.We make a ple...
The paper concerns steel domes with regard to the special structures named tensegrity. Tensegrities ...
A tensegrity system is considered here as a stable pin-jointed cable-bar framework with a rank-defic...
During the design of mechanical systems one normallyexploits numerical analysis and optimization too...
p. 2243-2250This study tries to contribute in a particular way to the application of the tensegrity ...
AbstractKinematics and statics of tensegrities are addressed by means of a novel algebraic formulati...
The linearized equations of motion for tensegrity structures around arbitrary equilibrium configurat...
We give an algorithm for solving the form-finding problem, that is, for finding stable placements of...
Kinematics and statics of tensegrities are addressed by means of a novel algebraic formulation. The ...
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...
This study presents a general approach to the topology design of tensegrities with rigid bodies. To ...
This study formulates numerical and analytical approaches to the self-equilibrium problem of novel u...