Stochastic Imperfection Mode Superposition Method for Stability Analysis of Single layer Lattice Domes

Abstract:

Based on Timeshenko beam theory and stochastic imperfection mode, the stochastic imperfection mode superposition method was proposed for single layer lattice domes. First tangent stiffness matrix for Timeshenko beam was deduced. Then stochastic imperfection mode was set up with participating parameters of modes obtained by eigenvalue analysis. Then, a nonlinear stability analysis was made on single layer lattice dome with stochastic imperfection. And then the stochastic imperfection mode superposition method was proposed. Finally, an example verifies that compared with traditional methods, smaller samples are resorted to with the proposed method. The proposed theory and algorithm proves to be correct, effective in stability analysis of single layer lattice with dome stochastic imperfection.