Kinematic bifurcation is generally unavoidable for deployable structures. Stating at one
critical point along the compatibility path, a deployable structure could exhibit unexpected …

This paper describes experiments and analysis of the complete post-buckling behavior of
shallow geodesic lattice domes. Although individual members are straight, their geometric …

Group theory provides a formal means for exploiting symmetry in the analysis of physical
systems. In current group-theoretic formulations, it is assumed that the symmetry properties …

In considerations of the linear vibration of symmetric systems, group theory allows the space
of the eigenvalue problem to be decomposed into independent subspaces that are spanned …

Group theory has been used for many years to study phenomena in various branches of
physics and chemistry, such as quantum mechanics, crystallography and molecular …

Geometric stability is a necessary criterion to guarantee stable equilibrium in engineering
structures. However, we generally encounter enormous calculations to examine the …

In this paper, block circulant matrices and their properties are investigated. Basic concepts
and the necessary theorems are presented and then their applications are discussed. It is …

Hardware/software partitioning (HW/SW) is a significant problem in hardware-software co-
design, and it is also an NP-hard problem. In order to solve the HW/SW quickly and …

Mobility analysis plays a key role in form finding and design of novel kinematically
indeterminate structures. For large-scale or complex structures, it demands considerable …

In recent years, group theory has been gradually adopted for computational problems of
solid and structural mechanics. This paper reviews the advances made in the application of …