scholarly journals Buckling Analysis of Symmetrically Laminated Rectangular Thin Plates under Biaxial Compression

Teknik Dergi ◽  
2021 ◽  
Author(s):  
Erkin ALTUNSARAY ◽  
İsmail BAYER
Keyword(s):  
Buckling Analysis ◽  
Thin Plates ◽  
Biaxial Compression

703 Secondary Buckling Analysis of Functionally Graded Thin Films Subjected to Biaxial Compression

2008 ◽  
Vol 2008.83 (0) ◽  
pp. _7-3_
Author(s):  
Yuichi TAMURA ◽  
Takuya MORIMOTO ◽  
Ryuusuke KAWAMURA ◽  
Yoshihiro OOTAO ◽  
Yoshinobu TANIGAWA
Keyword(s):  
Thin Films ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Biaxial Compression

Buckling Analysis of Circular FGM Plate Having Variable Thickness Under Uniform Compression by Finite Element Method

2005 ◽  
Author(s):  
Abazar Shamekhi ◽  
Mohammad H. Naei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variable Thickness ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Buckling Load ◽  
Thin Plates ◽  
Thickness Variation ◽  
Simply Supported ◽  
Element Method

This study presents the buckling analysis of radially-loaded circular plate with variable thickness made of functionally-graded material. The boundary conditions of the plate is either simply supported or clamped. The stability equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander’s non-linear strain-displacement relation for thin plates. The finite element method is used to determine the critical buckling load. The results obtained show good agreement with known analytical and numerical data. The effects of thickness variation and Poisson’s ratio are investigated by calculating the buckling load. These effects are found not to be the same for simply supported and clamped plates.

Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

2021 ◽  
pp. 2150044
Author(s):  
M. Aswathy ◽  
C. O. Arun
Keyword(s):  
Perturbation Method ◽  
Random Field ◽  
Random Fields ◽  
Buckling Analysis ◽  
Least Square ◽  
Thin Plates ◽  
Rectangular Plates ◽  
Moving Least Square ◽  
Parametric Studies ◽  
Element Free

The current paper presents a perturbation-based stochastic eigenvalue buckling analysis of thin plates using element free Galerkin method. Spatial variation in Young’s modulus is modeled as a homogeneous random field and moving least square-based shape function method is employed for discretizing the random field. Perturbation method is used to evaluate the statistics of buckling loads. Numerical examples wherein rectangular plates with different boundary conditions are solved and the statistics obtained are compared with those calculated using Monte Carlo simulation. Different parametric studies are also conducted. The results obtained from perturbation method are found to be reasonably accurate for coefficient of variation (CV) values less than 20% for random fields with normal distribution. Further it is observed that for random fields with lognormal distribution, the proposed method produces reasonably accurate results up to a CV of 30%.

scholarly journals Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Li-Ke Yao ◽  
Bin He ◽  
Yu Zhang ◽  
Wei Zhou
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Buckling Analysis ◽  
Thin Plates ◽  
System Matrix ◽  
Engineering Structures ◽  
Finite Strip ◽  
Main Components ◽  
Global Stiffness Matrix

Plates and shells are main components of modern engineering structures, whose buckling analysis has been focused by researchers. In this investigation, rectangular thin plates with loaded edges simply supported can be discretized by semi-analytical finite strip technology. Then the control equations of the strip elements of the buckling plate will be rewritten as the transfer equations by transfer matrix method. A new approach, namely semi-analytical Finite Strip Transfer Matrix Method, is developed for the buckling analysis of plates. This method requires no global stiffness matrix of the system, reduces the system matrix order, and improves the computational efficiency. Comparing with some theoretical results and FEM’s results of two illustrations (the plates and the ribbed plates) under six boundary conditions, the method is proved to be reliable and effective.

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