On the nonlinear dynamics of the multi-scale hybrid nanocomposite-reinforced annular plate under hygro-thermal environment

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
M. S. H. Al-Furjan ◽  
Reza Dehini ◽  
Masoud Paknahad ◽  
Mostafa Habibi ◽  
Hamed Safarpour
Keyword(s):  
Nonlinear Dynamics ◽  
Annular Plate ◽  
Thermal Environment ◽  
Hybrid Nanocomposite ◽  
Multi Scale

On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk

2020 ◽  
Author(s):  
Mehran Safarpour ◽  
Farzad Ebrahimi ◽  
Mostafa Habibi ◽  
Hamed Safarpour
Keyword(s):  
Nonlinear Dynamics ◽  
Hybrid Nanocomposite ◽  
Multi Scale

Wavelet Multi-Scale Solution for Deflection of Thin Rectangular Plates under Temperature

2012 ◽  
Vol 166-169 ◽  
pp. 2871-2875
Author(s):  
Yan Chang Wang ◽  
Ke Liang Ren ◽  
Yan Dong ◽  
Ming Guang Wu
Keyword(s):  
Differential Equations ◽  
Rectangular Plate ◽  
Thermal Environment ◽  
Operational Matrix ◽  
Rectangular Plates ◽  
Thin Rectangular Plate ◽  
Multi Scale ◽  
Scale Method ◽  
The Matrix ◽  
Operational Matrix Of Integration

To consider the deformation of thin rectangular plate under temperature. In this paper, the wavelet multi-scale method was used to solve the thin plate governing differential equations with four different initial or boundary conditions. An operational matrix of integration based on the wavelet was established and the procedure for applying the matrix to solve the differential equations was formulated, and got the deflection of thin rectangular plates under temperature. The result provides a theoretical reference for solving thin rectangular plate deflection in thermal environment using multi-scale approach.

scholarly journals Agglomeration Effects on Static Stability Analysis of Multi-Scale Hybrid Nanocomposite Plates

2020 ◽  
Vol 62 (3) ◽  
pp. 41-64 ◽  
Author(s):  
Farzad Ebrahimi ◽  
Ali Dabbagh ◽  
Abbas Rastgoo ◽  
Timon Rabczuk
Keyword(s):  
Stability Analysis ◽  
Static Stability ◽  
Hybrid Nanocomposite ◽  
Multi Scale ◽  
Agglomeration Effects

Multi-Frequency Multi-Modal Excitation of a Heated Annular Plate

2006 ◽  
Author(s):  
Haider N. Arafat ◽  
Ali H. Nayfeh
Keyword(s):  
Nonlinear Dynamics ◽  
Internal Resonance ◽  
Radial Direction ◽  
Natural Frequencies ◽  
Annular Plate ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Plate Theory ◽  
Frequency Excitation ◽  
The Difference

The forced nonlinear dynamics of a pre-buckled thermally loaded annular plate are investigated. The plate is modeled using the von Ka´rma´n plate theory and the heat equation. The heat, which is generated by the difference between the uniformly distributed temperatures at the inner and outer boundaries, is assumed to symmetrically flow in the radial direction. The amount of heat affects the natural frequencies, which may give rise to different internal resonance conditions. The method of multiple scales is used to examine the system axisymmetric responses when it is driven by an external multi-frequency excitation. The plate responses could be very complex exhibiting Hopf and cyclic-fold bifurcations, quasi-periodicity, chaos, and multiplicity of attractors.

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