DYNAMIC ANALYSIS OF RECTANGULAR PLATES WITH STEPPED THICKNESS SUBJECTED TO MOVING LOADS INCLUDING ADDITIONAL MASS

1998 ◽  
Vol 213 (5) ◽  
pp. 829-842 ◽  
Author(s):  
H. Takabatake
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Trung Thanh Tran ◽  
Quoc-Hoa Pham ◽  
Trung Nguyen-Thoi

The paper presents the extension of an edge-based smoothed finite element method using three-node triangular elements for dynamic analysis of the functionally graded porous (FGP) plates subjected to moving loads resting on the elastic foundation taking into mass (EFTIM). In this study, the edge-based smoothed technique is integrated with the mixed interpolation of the tensorial component technique for the three-node triangular element (MITC3) to give so-called ES-MITC3, which helps improve significantly the accuracy for the standard MITC3 element. The EFTIM model is formed by adding a mass parameter of foundation into the Winkler–Pasternak foundation model. Two parameters of the FGP materials, the power-law index (k) and the maximum porosity distributions (Ω), take forms of cosine functions. Some numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the effects of geometric parameters and materials on forced vibration of the FGP plates resting on the EFTIM are also studied in detail.


2006 ◽  
Vol 92 (26) ◽  
pp. 44-51 ◽  
Author(s):  
Sanjay Gurav

2017 ◽  
Vol 23 (9) ◽  
pp. 1291-1302 ◽  
Author(s):  
S Sorrentino ◽  
G Catania

This study investigates the dynamic behaviour of plates crossed by distributed moving gravitational and inertial loads, in the case in which the relative magnitude of the moving mass introduces a coupling effect with the structure, with possible applications to the vibration analysis of railway bridges. A rectangular Kirchhoff plate is considered, simply supported on two opposite edges and free on the other two edges, loaded by a partially distributed mass travelling in the parallel direction with respect to the free edges. The formulation includes damping, and it is accomplished by the Rayleigh–Ritz method, expressing the solution in semi-analytical form. The shape functions for describing the transverse displacement field of the plate are selected as tensor products of linearly independent eigenfunctions of homogeneous uniform beams in flexural vibration, yielding a low-order model with time-dependent coefficients. Numerical examples are then presented and discussed, aimed at investigating the effects of each of the model governing parameters.


2008 ◽  
Vol 2 (2) ◽  
pp. 176-187 ◽  
Author(s):  
Murat REIS ◽  
Yasar PALA ◽  
Gültekin KARADERE

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