Multi-Dimensional Pseudo Excitation Method for Nonstationary Random Seismic Analysis of Spatial Lattice Shells

Abstract

Lattice shell is a type of spatial structure whose vibrations are dominated by both horizontal and vertical motion. In this paper, a multidimensional pseudo excitation method is developed for nonstationary random seismic analysis of structures under multi-support and multi-dimensional earthquake excitations, in which the phase lags between the excitations have been involved. Mathematical formulations are derived. A method of evaluating peak responses is recommended. Multi-dimensional seismic random models are discussed. A random vibration analysis is performed for a double-layer cylindrical lattice shell to investigate its seismic performance. It is shown that the developed method is a highly efficient algorithm, which can easily solve the nonstationary problem of large structures under multi-support and multidimensional earthquake excitations.

A Novel Method to Calculate the Dynamic Reliability of Space Structures Subjected to Multi-Dimensional Multi-Support Excitations

“…Assuming there are N supports of space structures, and dynamic equation of motion can be formulated by block matrices in the absolute coordinate as follows [10]: (1) where {X m } denotes forcing displacements of ground motion, that is, master displacements; {X m } is a To obtain Y s we specify all dynamic terms in equation (1) are equivalent to zero, yields (4) Substitute equations (3) and (4) into equation (1), yields…”

“…Recent researches (e.g. [1][2][3]) have already concluded that the differences of support motions can significantly influence the internal forces of large space structures. Several response spectrum methods [4][5][6][7] have been developed by several researchers to calculate the seismic response of structures subjected to multi-support excitations.…”