Analytical investigation on free vibration frequencies of polymer nano composite plate: Effect of graphene grading and non-uniform edge loading

2020 ◽  
Vol 24 ◽  
pp. 100910 ◽  
Author(s):  
Vijay Gunasekaran ◽  
Jeyaraj Pitchaimani ◽  
Lenin Babu Mailan Chinnapandi
Keyword(s):  
Free Vibration ◽  
Composite Plate ◽  
Analytical Investigation ◽  
Vibration Frequencies ◽  
Nano Composite ◽  
Edge Loading

scholarly journals Free Vibration Analysis of a Graphene-Reinforced Porous Composite Plate with Different Boundary Conditions

Materials ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 3879
Author(s):  
Hong-Gang Pan ◽  
Yun-Shi Wu ◽  
Jian-Nan Zhou ◽  
Yan-Ming Fu ◽  
Xin Liang ◽  
...  
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Composite Plate ◽  
Porous Plate ◽  
Micromechanical Model ◽  
Value Added ◽  
Porous Composite ◽  
Finite Element Software ◽  
Free Vibration Frequency ◽  
Graphene Platelets

Plates are commonly used in many engineering disciplines, including aerospace. With the continuous improvement in the capacity of high value-added airplanes, large transport aircrafts, and fighter planes that have high strength, high toughness, and corrosion resistance have gradually become the development direction of airplane plate structure production and research. The strength and stability of metal plate structures can be improved by adding reinforced materials. This paper studies graphene platelets (GPLs) reinforced with a free vibration porous composite plate. The porous plate is constructed with a multi-layer model in a metal matrix containing uniform or non-uniformly distributed open-cell internal pores. Considering the random and directional arrangement of graphene platelets in the matrix, the elastic modulus of graphene composites was estimated using the Halpin–Tsai micromechanical model, and the vibration frequencies of graphene composite were calculated using the differential quadrature method. The effects of the total number of layers, GPL distribution pattern, porosity coefficient, GPL weight fraction, and boundary conditions on the free vibration frequency of GPLs reinforced porous composite plates are studied, and the accuracy of the conclusions are verified by the finite element software.

scholarly journals Instability Analysis of a Woven Fibre Composite Plate

2019 ◽  
Vol 8 (4) ◽  
pp. 2449-2454
Keyword(s):  
Mechanical Properties ◽  
Finite Element ◽  
Free Vibration ◽  
Epoxy Matrix ◽  
Composite Plate ◽  
Fibre Composite ◽  
Buckling Analysis ◽  
Instability Analysis ◽  
Critical Buckling Load ◽  
Modal Response

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.

Three alternative versions of the theory for a Timoshenko–Ehrenfest beam on a Winkler–Pasternak foundation

2020 ◽  
pp. 108128652094777
Author(s):  
Giulio Maria Tonzani ◽  
Isaac Elishakoff
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Detailed Comparison ◽  
Vibration Frequencies ◽  
Pasternak Foundation ◽  
New Model ◽  
Simply Supported ◽  
Model Based

This paper analyzes the free vibration frequencies of a beam on a Winkler–Pasternak foundation via the original Timoshenko–Ehrenfest theory, a truncated version of the Timoshenko–Ehrenfest equation, and a new model based on slope inertia. We give a detailed comparison between the three models in the context of six different sets of boundary conditions. In particular, we analyze the most common combinations of boundary conditions deriving from three typical end constraints, namely the simply supported end, clamped end, and free end. An interesting intermingling phenomenon is presented for a simply-supported (S-S) beam together with proof of the ‘non-existence’ of zero frequencies for free-free (F-F) and simply supported-free (S-F) beams on a Winkler–Pasternak foundation.

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