Vibration of Functionally Graded Rotating Beams Including the Effects of Nonlocal Elasticity

被引：7
|
作者：
Storch, Joel [1 ]
Elishakoff, Isaac [2 ]
机构：
[1] Calif State Univ Northridge, Dept Mech Engn, 1811 Nordhoff Street, Northridge, CA 91330 USA
[2] Florida Atlantic Univ, Dept Ocean & Mech Engn, 777 Glades Rd, Boca Raton, FL 33431 USA
来源：
AIAA JOURNAL | 2017年 / 55卷 / 04期
关键词：
D O I：
10.2514/1.J055038
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
Some exact solutions for rotating inhomogeneous beams including the effects of nonlocal elasticity was studied. Both clamped–clamped and clamped–free boundary conditions are studied. Mode shapes are postulated as fourth-order polynomials satisfying the geometric boundary conditions, whereas the flexural rigidity is expressed in the form of a fourth-order polynomial with unknown coefficients. In the case of clamped–clamped boundary conditions, the semi-inverse method yields closed-form solutions for the entire problem, whereas for the case of clamped–free boundary conditions, a system of nonlinear polynomial equations is derived for the unknown coefficients.
引用
收藏
页码：1480 / 1485
页数：6
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