粘弹性杆的某些问题

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Some Problems for Viscoelastic Rods

摘要: 本文利用[3]所提出的方法讨论了粘弹性杆的几种线性和非线性问题.对于线性情形,[1]的结果在这里得到较为初等和简明的印证,同时还论述了有阻尼项的线性问题和有非线性强迫作用项Pu³的幂非线性问题,从而建立了一些新的结果.

Abstract: Using an approach proposed in [3], we consider some linear and nonlinear problems for viscoelastic rods. Results in [1] for linear case are affirmed more elamentarily and simply here. We also treat linear problem with damping term and nonlinear problem with power nonlinearity pu³. Some new results are established.

[1]	Gurtin,M,E,V.J,Mizel and D,W,Reynolds,On nontrivial solutions for a compressed linear viscoelastic rod,J.Appl,Mech.,49(1982),245-246.
[2]	Gurtin,M,E.,Some questions and open problems in continuous mechanics and population dynamics,J.Diff,Eq.,48,2(1983),293-312.
[3]	柳训明、陈庆益,粘弹性杆的非线性固有值问题,华中工学院学报,2(1985).
[4]	柳训明、陈庆益,粘弹性杆问题的另一解法,华中工学院学报,2(1985).
[5]	Dist}fano,J,N.,Creep-buckling of slender columns,J.of Structural Division,Proceedings of ASCE,91(1965),127-150.
[6]	徐桂芳,《积分表》(公式539).
[7]	斯米尔诺夫,稼高等数学教程》,人民教育出版社,第三卷,第三分册(1979),312.
[8]	刘斯铁尔尼克,《泛函分析概要》,科学出版社(1955),46.