Geometric sensitivity of statically determinate planar truss families

Geometric Analysis of the Kinematic Sensitivity of Planar Parallel Mechanisms

The kinematic sensitivity is a unit-consistent measure that has been recently proposed as a mechanism performance index to compare robot architectures. This paper presents a robust geometric approach for computing this index for the case of planar parallel mechanisms. The physical meaning of the kinematic sensitivity is investigated through different combinations of the Euclidean and infinity n...

Planar and Quasi Planar Simultaneous Geometric Embedding

Planar Families of Discrete Groups

Determining the space of free discrete two generator groups of Möbius transformations is an old and difficult problem. In this paper we show how to construct large balls of full dimension in this space. To do this, we begin with a marked discrete group of non-separating disjoint circle type, nsdc group (see section 2.2 for the definition). Such a group determines three disjoint or tangent plane...

Sandwich Plates Actuated by a Kagome Planar Truss

Kagome truss plates have properties that suggest they should be uniquely effective as an actuation plane for sandwich plates: a Kagome truss plate has in-plane isotropy, optimal stiffness and strength, and its truss members can be actuated with minimal internal resistance. In this paper, sandwich plates are studied that are comprised of one solid face sheet and one actuated Kagome face sheet jo...

Calculation of Buckling Load and Eigen Frequencies for Planar Truss Structures with Multi-Symmetry

In this paper, the region in which the structural system is situated is divided into four subregions, namely upper, lower, left and right subregions. The stiffness matrix of the entire system is then formed and using the existing direct symmetry and reverse symmetry, the relationships between the entries of the matrix are established. Examples are included to illustrate the steps of the method.