Application of Differential Transform Method to Buckling Problems at Clamped-Clamped 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 an analytical solution built on polynomial form.Traditional Taylor series method is used for symbolic computation, while Differential Transform Method obtained the solution of the polynomials through itineration calculations.Applying DTM to buckling problems, the critical length of a bar at clamped-clamped 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 to the fields of computational engineering mechanics.Differential Transform Method is much easier, and more efficient when compared with other computational methods.

关键词： Differential Transform Method Taylor series Converge Buckling Boundary Condition

作者: Lingfeng Han Kaiqi Cheng Shiyuan Wu

作者单位: Southwest Petroleum University,Chengdu 610500,China

会议类型: 国际会议

会议名称: the 2012 International Conference on Vibration, Structural Engineering and Measurement (2012年振动、结构工程与测量国际会议(ICVSEM2012))

会议地点: 上海

会议语种:英文

页码: 2344-2348

在线出版日期: 2012-10-19（万方平台首次上网日期，不代表论文的发表时间）