scholarly journals A mixed differential quadrature and finite element free vibration and buckling analysis of thick beams on two-parameter elastic foundations

2008 ◽  
Vol 32 (7) ◽  
pp. 1381-1394 ◽  
Author(s):  
P. Malekzadeh ◽  
G. Karami
Author(s):  
S Sahraee ◽  
A R Saidi

In this research, a differential quadrature method is applied for free vibration and buckling analysis of deep beam-columns composed of functionally graded materials on two-parameter elastic foundations. Derivation of equations is based on the unconstrained higher-order shear deformation theory taking into account the complete effects of shear deformation, depth change, and rotary inertia. It is assumed that the effective mechanical properties of functionally graded (FG) beam-columns are temperature dependent and vary continuously throughout the thickness direction according to volume fraction of the constituents defined by power-law function. The accuracy, convergence, and flexibility of the differential quadrature technique for simply supported FG deep beam-columns with complicated governing differential equations and boundary conditions are examined and verified with the known data in the literature.


1988 ◽  
Vol 30 (6) ◽  
pp. 1303-1317 ◽  
Author(s):  
Abhijit Mukherjee ◽  
Madhujit Mukhopadhyay

2019 ◽  
Vol 8 (4) ◽  
pp. 2449-2454

The instability behaviour of a woven fibre composite plate in respect of its free vibration and buckling analysis has been presented in this paper. The woven fibre composite plate has been prepared by hand layup with bidirectional woven glass fibres in epoxy matrix. The mechanical properties of the woven fibre composite plate have been characterised experimentally and a finite element investigation has been done for the instability analysis. Modal response of the plate and the critical buckling load leading to instability of the plate to varying parameters are studied and numerical results have been presented.


2011 ◽  
Vol 15 (2) ◽  
pp. 347-361 ◽  
Author(s):  
Chien Thai-Hoang ◽  
Nhon Nguyen-Thanh ◽  
Hung Nguyen-Xuan ◽  
Timon Rabczuk ◽  
Stephane Bordas

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