Forced Nonlinear Oscillations of a Semi-infinite Beam Resting on a Unilateral Elastic Soil: Analytical and Numerical Solutions

被引：17

作者：

Lancioni, Giovanni ^{[1
]}

Lenci, Stefano ^{[1
]}

机构：

[1] Univ Politecn Marche, Dipartimento Architettura Costruzioni & Strutture, I-60131 Ancona, Italy

来源：

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2007年 / 2卷 / 02期

关键词：

beams on tensionless foundations; finite elements in an infinite domain; asymptotic developments; cutoff frequencies;

D O I：

10.1115/1.2447406

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The dynamics of a semi-infinite Eider Bernoulli beam on unilateral elastic springs is investigated. The mechanical model is governed by a moving-boundary hyperbolic problem, which cannot be solved in closed form. Therefore, we look for approximated solutions following two different approaches. Front the one side, approximate analytical solutions are obtained by means of perturbation techniques. On the other side, numerical solutions are determined by a self-mode finite element algorithm. The analytical and numerical solutions are compared with each other, and the effects of the problem non-linearity on the beam motion are analyzed. In particular the superharmonics oscillations and the resonances are investigated in depth.

引用

页码：155 / 166

页数：12

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