Modal analysis of the FGM beams with effect of the shear correction function

被引：51

作者：

Murin, J. ^{[1
]}

Aminbaghai, M. ^{[2
]}

Hrabovsky, J. ^{[1
]}

Kutis, V. ^{[1
]}

Kugler, S. ^{[3
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Power & Appl Elect Engn, Dept Appl Mech & Mechatron, Bratislava 81219, Slovakia

[2] Vienna Univ Technol, Inst Mech Mat & Struct, A-1040 Vienna, Austria

[3] Univ Appl Sci Wiener Neustadt, Dept Appl & Numer Mech, Wiener Neustadt, Austria

来源：

COMPOSITES PART B-ENGINEERING | 2013年 / 45卷 / 01期

关键词：

Ceramic-matrix composites (CMCs); Vibration; Mechanical properties; Computational modelling; FGM beams; COMPOSITE BEAMS;

D O I：

10.1016/j.compositesb.2012.09.084

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the proposed contribution the effect of the shear correction function is originally studied and evaluated in modal analysis of the functionally graded material (FGM) beams. Spatially continuous variations of the material properties are considered. The shear correction function is calculated from the shear strain energy equation including spatial Poisson's ratio variations. The equations of the homogenized FGM beam free vibration and their solution is presented including the shear correction function. Four coupled differential equations are derived and used in the modal analysis of beams with polynomial continuous longitudinal and transversal variations of material properties. Further, 2nd order beam effects and longitudinal varying elastic beam foundations are considered. The influence of using an average shear correction factor is evaluated through numerical experiments. Additionally, the longitudinal eigenfrequencies are calculated. Continuum solutions using solid finite elements are taken as a reference for comparison purposes. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1575 / 1582

页数：8

共 13 条

[1] Modal analysis of the FGM-beams with continuous transversal symmetric and longitudinal variation of material properties with effect of large axial force [J].