| 一类弯曲与扭转联合作用下的薄壁梁系统的初边值问题 |
| |
| 引用本文： | 牛丽芳,段周波.一类弯曲与扭转联合作用下的薄壁梁系统的初边值问题[J].中北大学学报,2012(1):9-13. |
| |
| 作者姓名： | 牛丽芳 段周波 |
| |
| 作者单位： | 太原理工大学数学学院 |
| |
| 基金项目： | 山西省自然科学基金资助项目(2010011008);太原理工大学校基金资助项目(900103-03020714) |
| |
| 摘 要： | 在给定的Sobolve空间中,研究了一类非线性梁方程组的初边值问题.描述了弯曲和扭转联合作用下薄壁梁的振动问题,利用Faedo-Galerkin方法,通过对变系数及非线性项的处理,证明了该系统在一定初边值条件下整体强解的存在、唯一性,为力学中此类振动问题的研究和计算提供了数学依据.
|
| 关 键 词： | 薄壁梁 初边值问题 Faedo-Galerkin方法 |
Iinitial-Boundary Value Problems for Thin-Walled Beam System with Coupled Flexural-Torsional Load |
| |
| NIU Li-fang,DUAN Zhou-bo.Iinitial-Boundary Value Problems for Thin-Walled Beam System with Coupled Flexural-Torsional Load[J].Journal of North University of China,2012(1):9-13. |
| |
| Authors: | NIU Li-fang DUAN Zhou-bo |
| |
| Affiliation: | (College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China) |
| |
| Abstract: | The initial-boundary value problem was studied in given Sobolve spaces.The problem involved a class of nonlinear partial differential equations describing coupled flexural and torsional oscillations of thin-walled beam.By using Faedo-Galerkin method,the existence and uniqueness of the solutions of the proposed problem was proved through the appropriate manipulation of variable coefficient and nonlinear items. |
| |
| Keywords: | thin-walled beam initial-boundary value problems Faedo-Galerkin method |
| 本文献已被 CNKI 等数据库收录！ |
