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.
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页码：417 / 426
页数：10
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