Geometric Non-linearity Analysis and Numerical Solution for Larger Deformation of Cantilever beams

摘要：

　　Cantilevered beam theory is the basic method for the study of output displacement of compliant mechanisms.In order to analyze the larger deformation of cantilever beams with geometric non-linearity while the horizontal and vertical load at the free tip,the Euler-Bernoulli theory was employed to build the large deflection differential equation of cantilever beams,and the series solution of differential equation was investigated by an analytic method,namely homotopy analysis method (HAM),which avoided the complex calculation of transcendental functions.The rotation angle of cross-section plane,dimensionless horizontal displacement and vertical displacement at free tip were calculated by HAM,and the series solutions were compared with linear solutions and exact solutions.Results show that the 5th series solutions were still accurate in the region of convergence when the horizontal displacement and vertical displacement were respectively 30% and 60% of the beam length.This research has significant practicality for further analyzing of the larger deformation of cantilever beams with geometric non-linearity and optimizing the structure of compliant mechanisms.

关键词： cantilever beams geometric non-linearity homotopy analysis method

作者: YANG Xue-feng LI Wei Wu Xiao-jie Wang Yu-qiao

作者单位: College of Mechatronics Engineering, CUMT, Xuzhou, Jiangsu 221116, China School of Information and Electrical Engineering, CUMT, Jiangsu 221116, China

会议类型: 国际会议

会议名称: 中国微米纳米技术学会第14届学术年会、第3届国际年会暨第6届微米纳米技术“创新与产业化国际研讨与展览会(CSMNT2012 & ICMAN2012)

会议地点: 杭州

会议语种:英文

页码: 1-7

在线出版日期: 2012-11-04（万方平台首次上网日期，不代表论文的发表时间）