Application of Differential Transform Method to Buckling Problems at Pined-Pined Boundary Conditions
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.
Differential Transform Method Buckling Taylor series
Han Lingfeng Wu Shiyuan
College of Civil Engineering and Architecture,Southwest Petroleum University,Chengdu,China
国际会议
济南
英文
1155-1158
2012-12-29(万方平台首次上网日期,不代表论文的发表时间)