首页 | 本学科首页   官方微博 | 高级检索  
     


New assessment on the Saint-Venant solutions for functionally graded beams
Affiliation:1. Department of Civil Engineering, Ningbo University of Technology, Ningbo 315016, China;2. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China;3. Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China;1. Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409-1021, USA;2. Metallurgy Division, MSEL, National Institute of Standards and Technology, 100 Bureau Drive Stop 8553, Gaithersburg, MA 20899, USA;1. Department of Aerospace Engineering, Indian Institute of Technology, Madras, Chennai 600036, India;2. Mercedes-Benz Research and Development India, Whitefield Palms, EPIP Zone, Bangalore 560066, India;1. Department of Engineering Mechanics, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong Province 510640, PR China;2. College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Ping Le Yuan 100#, Chaoyang District, Beijing 100022, PR China;1. School of Internet of Things (IoT) Engineering, Jiangnan University, Wuxi, China;2. Engineering Research Center of IoT Technology Applications (Ministry of Education), Jiangnan University, Wuxi, China;3. School of Information Engineering, Zhejiang A&F University, Hangzhou, China;4. USDA Forest Service, Forest Products Laboratory, Madison, WI, USA
Abstract:A symplectic approach is proposed to investigate the Saint-Venant problem of functionally graded beams with Young's modulus varying exponentially in the axial direction and constant Poisson radio. A matrix state equation is derived with a shift-Hamiltonian operator matrix whose particular eigenvalues are proved to compose the basic solutions of the Saint-Venant problem. The present analyses demonstrate that the Saint-Venant solutions under simple extension and pure bending can be derived using either the direct expansion method or the rigid motion removing method.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号