Free flexural vibration of thin stiffened plates using NURBS-Augmented finite element method

Structures ◽  
2021 ◽  
Vol 33 ◽  
pp. 1620-1632
Author(s):  
Biraja Prasad Mishra ◽  
Manoranjan Barik
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Flexural Vibration ◽  
Stiffened Plates ◽  
Element Method

Finite Element Method for Analysis of Flexural Vibration Propagating in Ternary Phononic Crystal Thin Plates

2012 ◽  
Vol 256-259 ◽  
pp. 596-599
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Yue Sheng Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Point Defect ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Square Lattice ◽  
Thin Plates ◽  
Response Curves ◽  
Element Method

Propagation of flexural vibration in a ternary phononic crystal thin plate with a point defect are explored using finite element method. The thin concrete plate is composed of steel cylinders hemmed around by rubber with a square lattice. Absolute band gaps, point defect bands and transmission response curves with low frequency are investigated. Comparing the results of finite element method with that of improved plane wave expansion method, precise identifications are obtained to identify the point defect states. The results show that the finite element method is suitable for the exploring of flexural vibration propagating in ternary phononic crystal thin plates.

scholarly journals Vibration analysis of stiffened plates using finite element method

2012 ◽  
Vol 9 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Shahed Jafarpour Hamedani ◽  
Mohammad Reza Khedmati ◽  
Saeed Azkat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vibration Analysis ◽  
Stiffened Plates ◽  
Element Method

Vibration and Buckling Analysis of Curvilinearly Stiffened Plates Using Finite Element Method

AIAA Journal ◽  
2015 ◽  
Vol 53 (5) ◽  
pp. 1319-1335 ◽  
Author(s):  
Peng Shi ◽  
Rakesh K. Kapania ◽  
C. Y. Dong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Buckling Analysis ◽  
Stiffened Plates ◽  
Element Method

Linear Defect States of Phononic Crystal Thin Plates – An Application of Finite Element Method

2013 ◽  
Vol 652-654 ◽  
pp. 48-51
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Yue Sheng Wang ◽  
Wen Jun Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Square Lattice ◽  
Thin Plates ◽  
Defect States ◽  
Response Curves ◽  
Element Method

In this paper, propagation of flexural vibration in phononic crystal thin plates with straight, bending or branching linear defects are explored using finite element method. The plate is composed of an array of circular crystalline Al2O3 cylinders embedded periodically in the epoxy matrix with a square lattice. The numerical results showed that accurate band structures and transmission response curves could be obtained by finite element method compared with that of improved plane wave expansion method. The exploration indicated that finite element method is efficient and suitable in dealing with the wave propagation in phononic crystal, and displays potential abilities in dealing with complex structures.

An Edge-Based Smoothed Finite Element Method for Analyzing Stiffened Plates

2019 ◽  
Vol 16 (06) ◽  
pp. 1840031 ◽  
Author(s):  
Wei Li ◽  
Yingbin Chai ◽  
Xiangyu You ◽  
Qifan Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Sound Radiation ◽  
Stiffened Plates ◽  
Smoothing Technique ◽  
Gradient Smoothing Technique ◽  
Smoothed Finite Element Method ◽  
Edge Based ◽  
Gradient Smoothing ◽  
Element Method

In this paper, an edge-based smoothed finite element method with the discrete shear gap using triangular elements (ES-DSG3) is presented for static, free vibration and sound radiation analyses of plates stiffened by eccentric and concentric stiffeners. In the present model, the ES-DSG3 for the plate element with the isoparametric thick-beam element is employed to formulate stiffened plate structures. The deflections and rotations of the plates and the stiffeners are connected at tying positions. By using Rayleigh integral, sound radiation of stiffened plates subjected to a point load can be obtained. The edge-based gradient smoothing technique is employed to perform the related numerical integrations over the edge-based smoothing domains. Compared with the original DSG3 model, the present ES-DSG3 model is relatively softer as a result of the edge-based gradient smoothing technique. From several numerical examples, it is observed that the ES-DSG3 can produce more accurate numerical solutions than the original DSG3 for stiffened plates.

Transient Dynamic Response of Arbitrary Stiffened Shells by the Finite Element Method

1995 ◽  
Vol 117 (1) ◽  
pp. 11-16 ◽  
Author(s):  
G. Sinha ◽  
M. Mukhopadhyay
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Bridge Engineering ◽  
Stiffened Plates ◽  
The Finite Element Method ◽  
Stiffened Shells ◽  
Triangular Shell Element ◽  
Plates And Shells ◽  
Element Method

Stiffened plates and shells often find wide application in bridge engineering, aircraft, ship and allied industries owing to its high strength to weight ratios. They are often subjected to dynamic loading such as air blast loading, for which detailed dynamic analysis is required to study the structure under these conditions. In the present approach, the dynamic response of stiffened plates and shells has been investigated by the finite element method employing a high precision arbitrary-shaped triangular shell element in which stiffeners may lie in any arbitrary direction within the element. This provides greater flexibility in the mesh generation. The governing undamped equations of motion have been solved by Newmark’s method for direct time integration. The dynamic response of plates and shells with or without stiffeners, subjected to different kinds of load-history have been studied and results are compared with the published analytical results.

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