A new two-dimensional refined higher order theory for in-plane free vibrations of sandwich and composite thick curved beams with flexible cores

被引:2
|
作者
Fard, K. Malekzadeh [1 ]
Estiri, J. [1 ]
Davar, A. [2 ]
机构
[1] Space Res Inst, Tehran, Iran
[2] KN Toosi Univ Technol, Ctr Excellence Res Adv Mat & Struct, Fac Mech Engn, Tehran, Iran
关键词
free vibration; higher order beam theory; composite and sandwich laminates; straight and circular curved beam; cross-ply laminates; LAMINATED COMPOSITE; CIRCULAR ARCHES; DYNAMIC ANALYSIS; STABILITY; DEFORMATION; CURVATURE; ELEMENT; SHELLS;
D O I
10.1177/1099636212444746
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Closed-form formulations of two-dimensional refined higher order beam theories and higher order beam theories for the free vibration analysis of simply supported cross-ply laminated composite and sandwich curved beams are presented. The present refined higher order beam theory analysis incorporates a trapezoidal shape factor that arises due to the fact that the stresses through the thickness of the beam are integrated over a curved surface. Therefore, the present theory refines other higher order beam theories established hitherto for free vibration analysis of strongly thick circular curved beams. The stress-strain relationship is derived from an orthotropic lamina in a three-dimensional state of stress. Numerical results are presented for the natural frequencies of laminated composite and sandwich thin/thick straight beams and shallow/deep and moderately/strongly thick curved beams. The closed-form solutions presented herein are compared with the available exact two-dimensional elasticity and analytical solutions in the available literature and excellent agreement is obtained.
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页码:247 / 280
页数:34
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