Inhomogeneous beams possessing an exponential mode shape

被引：11

作者：

Gilat, R. ^{[1
]}

Calio, I. ^{[2
]}

Elishakoff, I. ^{[3
]}

机构：

[1] Ariel Univ Ctr Samaria, Dept Civil Engn, IL-44837 Ariel, Israel

[2] Univ Catania, Dipartimento Ingn Civile & Ambientale, I-95125 Catania, Italy

[3] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 04期

关键词：

Prescribed vibration mode; Exponential form; Inhomogeneous beam; Inverse problem;

D O I：

10.1016/j.mechrescom.2010.04.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study inhomogeneous beams which posses exponential fundamental mode shapes are constructed. Closed-form solutions are derived for five cases of boundary conditions: (a) a beam with two free edges, (b) a cantilevered beam, (c) a beam that is clamped at both ends, (d) a simply supported beam and (e) a beam that is clamped at one end and simply supported at the other. The solutions can be utilized for axially varying the moment of inertia of the cross-section and/or functionally grading the material's modulus of elasticity in order to construct beams with prescribed vibration modes. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：417 / 426

页数：10