Global Solutions for the Equation of Vibrating Beam Subjected to Force

柴玉珍; 杨桂通; 张建文

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Global Solutions for the Equation of Vibrating Beam Subjected to Force

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- Global Solutions for the Equation of Vibrating Beam Subjected to Force
- 受迫振动梁方程的整体解
- Issue 5, Pages: 383-389(2007)
- 作者机构：
  
  1. 太原理工大学数学系
  2. 太原理工大学应用力学研究所,山西,太原,030024
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2007
- 稿件说明：
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柴玉珍, 杨桂通, 张建文. Global Solutions for the Equation of Vibrating Beam Subjected to Force[J]. 2007, (5): 383-389.
DOI：

柴玉珍, 杨桂通, 张建文. Global Solutions for the Equation of Vibrating Beam Subjected to Force[J]. 2007, (5): 383-389. DOI：

摘要

考虑线性阻尼效应和横向载荷作用

建立了一类轴向载荷和横向载荷作用下的振动梁方程

并利用G a lerk in法

证明了该方程在非线性边界条件下整体解的存在唯一性.

Abstract

In view of linear damping effect and transverse load

one kind of equations for vibrating beam subjected to axial load and transverse load was established.The existence and uniqueness of global solutions for the equation under nonlinear boundary conditions are proved by the Galerkin method.

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references

Woinowsky Krieger S.The effect of axial force on the vibration of hinged bars[J].Journal of Applied Mechanics,1950,17:35-36.

Ball J.Initial boundary value problem for an extensible beam[J].Journal of Mathematical Analysis and Application,1973,42:61-90.

Medeiros L A.On a new class of nonlinear wave equation[J].Journal of Mathematical Analysis and Application,1979,69:252-262.

Biler.Remark on the decay for damped string and beam equation[J].Nonlinear Anal Theory Methods Appl,1986,10(9):839-842.

Brito.Decay estimates for the generalized damped extensible string and beam equation[J].Nonlinear Anal TheoryMethods Appl,1984,8(12):1489-1496.

Kouemou Patcheu S.On a global solution and asymptotic behaviour for the generalized damped extensible beamequation[J].Journal of Differential Equations,1997,135:299-314.

Ma TF.Boundary stabilization for a non-linear beam on elastic bearings[J].Math.Meth.Appl.Sci.,2001,24:583-594.

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