Application of Differential Transform Method to Buckling Problems at Pined-Pined Boundary Conditions

摘要：

　　Differential Transform Method (DTM) is a new semi-analytical,semi-numerical algorithm,which transforms differential equations to the form of Taylor series.The method derives an approximate numerical solution based on Taylor series expansion,which is a analytical solution built on polynomial form.Traditional Taylor series method is used for symbolic computation,while the Differential Transform Method obtained the solution of the polynomials through itineration calculations.Applying DTM to buckling problems,the critical length of a bar at Pined-Pined boundary is studied.The computational results are compared with analytical solutions and shown excellent agreement between those two algorithms.The method adds a new tool for computational engineering mechanics.

关键词： Differential Transform Method Buckling Taylor series

作者: Han Lingfeng Wu Shiyuan

作者单位: College of Civil Engineering and Architecture,Southwest Petroleum University,Chengdu,China

会议类型: 国际会议

会议名称: 2012 2nd International conference on Machinery Electronics and Control Engineering (2012年第二届国际机械电子与控制工程会议(ICMECE 2012))

会议地点: 济南

会议语种:英文

页码: 1155-1158

在线出版日期: 2012-12-29（万方平台首次上网日期，不代表论文的发表时间）