Exact formulations of non-linear planar and spatial Euler-Bernoulli beams with finite strains

• Main Authors: Zohoor, H., Abedinnasab, Mohammad H., Yoon, Yong-Jin
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/98428; http://hdl.handle.net/10220/12437
• Institution: Nanyang Technological University

Using Hamilton’s principle, exact equations of motion for non-linear planar and spatial Euler–Bernoulli beams are derived. In the existing non-linear Euler–Bernoulli beam formulations, some elastic terms are dropped by differentiation from the incomplete Green–Lagrange strain tensor followed by negl...