DYNAMIC ANALYSIS OF FGM RHOMBIC PLATES WITH A VARIATION IN THE MASS

被引:4
作者
Ansari, Md Irfan [1 ]
Kumar, Ajay [1 ]
Barnat-Hunek, Danuta [2 ]
Brzyski, Przemyslaw [2 ]
Andrzejuk, Wojciech [3 ]
机构
[1] Natl Inst Technol Patna, Dept Civil Engn, Patna, Bihar, India
[2] Lublin Univ Technl, Fac Civil Engn & Architecture, Dept Construct, Nadbystrzycka 40, PL-20618 Lublin, Poland
[3] Pope John Paul II State Sch Higher Educ Biala Pod, Fac Econ & Engn, 95-97 Sidorska, PL-21500 Biala Podlaska, Poland
来源
MATERIALI IN TEHNOLOGIJE | 2018年 / 52卷 / 06期
关键词
functionally graded material; finite-element method; cutouts; additional mass; FUNCTIONALLY GRADED PLATES; FREE-VIBRATION ANALYSIS; RECTANGULAR-PLATES;
D O I
10.17222/mit.2018.071
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A dynamic analysis of shear-deformable rhombic plates from functionally graded material (FGM) with a variation in the mass is presented. The present mathematical model incorporates a realistic cubic variation of the thickness coordinate in displacement fields. Due to the parabolic variation of the transverse shear strains in the thickness, the shear-correction factor is eliminated. The finite-element formulation of the present mathematical model is done using a two-dimensional C-0 element with seven nodal unknowns. A computer code is written for the present finite-element formulation. The material properties vary in the thickness direction of the FGM rhombic plate at any point according to the Mori-Tanaka scheme. The accuracy of the formulation is demonstrated by comparing it with suitable examples from the literature. This is the first attempt at a dynamic study of FGM rhombic plates with a variation in the mass and with various volume-fraction indices, thickness ratios and boundary constraints.
引用
收藏
页码:731 / 736
页数:6
相关论文
共 16 条
[1]   Free vibration, buckling, and static deflections of functionally graded plates [J].
Abrate, Serge .
COMPOSITES SCIENCE AND TECHNOLOGY, 2006, 66 (14) :2383-2394
[2]   DETERMINATION OF DYNAMIC CHARACTERISTICS OF RECTANGULAR-PLATES WITH CUTOUTS USING A FINITE-DIFFERENCE FORMULATION [J].
AKSU, G ;
ALI, R .
JOURNAL OF SOUND AND VIBRATION, 1976, 44 (01) :147-158
[3]   PREDICTION OF NATURAL FREQUENCIES OF VIBRATION OF RECTANGULAR-PLATES WITH RECTANGULAR CUTOUTS [J].
ALI, R ;
ATWAL, SJ .
COMPUTERS & STRUCTURES, 1980, 12 (06) :819-823
[4]   Dynamic and Static analysis of FGM Skew plates with 3D Elasticity based Graded Finite element Modeling [J].
Asemi, Kamran ;
Salami, Sattar Jedari ;
Salehi, Manouchehr ;
Sadighi, Mojtaba .
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2014, 11 (03) :504-533
[5]   An efficient and simple refined theory for bending and vibration of functionally graded plates [J].
Fares, M. E. ;
Elmarghany, M. Kh. ;
Atta, Doaa .
COMPOSITE STRUCTURES, 2009, 91 (03) :296-305
[6]   Free vibration analysis of rectangular plates with variously-shaped holes [J].
Huang, M ;
Sakiyama, T .
JOURNAL OF SOUND AND VIBRATION, 1999, 226 (04) :769-786
[7]   Thermal effect on free vibration analysis of functionally graded arbitrary straight-sided plates with different cutouts [J].
Janghorban, Maziar ;
Zare, Amin .
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2011, 8 (03) :245-257
[8]   Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory [J].
Matsunaga, Hiroyuki .
COMPOSITE STRUCTURES, 2008, 82 (04) :499-512
[9]   AVERAGE STRESS IN MATRIX AND AVERAGE ELASTIC ENERGY OF MATERIALS WITH MISFITTING INCLUSIONS [J].
MORI, T ;
TANAKA, K .
ACTA METALLURGICA, 1973, 21 (05) :571-574
[10]  
Reddy JN, 2000, INT J NUMER METH ENG, V47, P663, DOI 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO