基金National Natural Science Foundation of China (11572001,51478004)2021 Undergraduate Course Ldeological and Political Demonstration Course-Theoretical Mechanics (108051360022XN569)2022 Great Innovation Project-Frame Bridge Structural Engineering Research (108051360022XN388)。
基金National Natural Science Foundation of China(11572001,51478004)Education and Teaching Reform Project of North China University of Technology(2022XN009/026)2022 Beijing College Students Innovation and Entrepreneurship Project(108051360022XN388)。