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

摘要

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.