Wave Propagation Behaviour of Spatial Structures: Impact Response Analysis of Single Layer Lattice Domes

Abstract

Many researchers have investigated the wave propagation behaviors of continuum spatial structures such as plate and cylindrical shell. But due to the numerical difficulty, there is very little research related to discrete spatial structures. The objective of this paper is to examine wave propagation behavior of single layer lattice domes subject to vertical impact load at the centre node. In the first part, an analytical method based on the Fourier transform and a matrix method is presented. In the second part, an impacted two dimensional lattice beam is analyzed in order to estimate the validity of the analytical program. In the last part, nine types of single layer lattice domes are analyzed to estimate the effect of member distribution density, member arrangement pattern and the jointing system, etc., upon the wave propagation behavior.

Wave Propagation Properties of Frame Structures-Formulation for Three-Dimensional Frame Structures

“…(9). In this section, the parameters related to the displacement in the transverse direction are described.…”

“…This analytical method is called the spectral element method and has an advantage with regard to the ability to use the FFT algorithm. Based on the Bernoulli-Euler beam theory, Nishida et al (9) developed this method for three-dimensional frame structures with torsional effects and applied it to spatial lattice structures.…”