1. Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang China
2. Key Laboratory of Roads and Railway Engineering Safety Control (Shijiazhuang Tiedao University), Ministry of Education, Shijiazhuang, China
3. School of Civil Engineering, Beijing Jiaotong University, Beijing, China
4. Chief Engineer of Zhejiang Tiantie Industry Co., Ltd, Zhejiang, China