Non-stationary random seismic response and dynamic reliability analysis of bedding rock slopes based on mode superposition method
Chen Xunlong1,2 Gong Wenhui1 Qiu Jinwei1 Song Dingbao1 Wei Ruming3
1. Huazhong University of Science and Technology, Wuhan 430074, China; 2. Shenzhen Cansinga Technology Co, Ltd, Shenzhen 518102, China;
3. Jinan Geotechnical Investigation and Surveying Research Institute, Jinan 250000, China
Abstract：To study the dynamic reliability problems of bedding rock slopes under the non-stationary random earthquake excitation, a fast algorithm for the non-stationary random seismic response of bedding rock slopes with multiple weak structural planes was developed based on the mode superposition method and pseudo excitation method. By referring to the calculated results, an analytical expression was derived for dynamic reliability of bedding rock slopes under non-stationary earthquake using the -rst excursion failure criterion. Furthermore, the MATLAB program was coded to achieve the fast output of calculation data and result visualization. The calculation results disclose that the seismic response of bedding slope which changes with time and frequency has obvious non-stationary characteristics. With the increase of the elevation of rock block, the dispersion degree of displacement response increases, while the dispersion degree of shear and normal force responses on the corresponding structural plane decreases, and particularly that of the normal force response appears to be smaller. The non-stationary randomness of seismic process can reduce the reliability of bedding rock slope, and the proposed reliability calculation method can more realistically reflect the actual slopes, beneficial to the engineering safety.
