A numerical study on nonlinear vibrations of laminated composite singly curved stiffened shells

2021 ◽  
Vol 278 ◽  
pp. 114718
Author(s):  
Kaustav Bakshi
Keyword(s):  
Nonlinear Vibrations ◽  
Numerical Study ◽  
Laminated Composite ◽  
Stiffened Shells

Nonlinear Vibrations of Plates: An Update of Recent Research Developments

1996 ◽  
Vol 49 (10S) ◽  
pp. S55-S62 ◽  
Author(s):  
M. Sathyamoorthy
Keyword(s):  
Nonlinear Vibrations ◽  
Laminated Composite ◽  
Composite Plates ◽  
Future Research ◽  
Research Directions ◽  
Inertia Effects ◽  
Vibration Behavior ◽  
Recent Developments ◽  
Complicating Factors ◽  
Future Research Directions

This paper comprises a survey on the nonlinear vibration analysis of plates, with emphasis on research carried out since 1987. Most of the research reviewed here deals with the effects of geometric nonlinearity on the vibration behavior of plates. Complicating factors such as material nonlinearity, geometric imperfections, transverse shear and rotatory inertia effects, and magnetic fields on the vibration behavior are included. Recent developments in the analytical and numerical methods of solution of isotropic, orthotropic as well as laminated, composite plates are presented. Experimental, analytical, and numerical investigations are included for all the cases reviewed and some general remarks are presented along with suggestions for future research directions.

Nonlinear Vibrations and Chaotic Dynamics of the Laminated Composite Piezoelectric Beam

2015 ◽  
Vol 137 (1) ◽  
Author(s):  
Minghui Yao ◽  
Wei Zhang ◽  
Zhigang Yao
Keyword(s):  
Numerical Simulation ◽  
Axial Load ◽  
Nonlinear Vibrations ◽  
Dynamical Behavior ◽  
Laminated Composite ◽  
Transverse Load ◽  
Nonlinear Phenomenon ◽  
Periodic Motions ◽  
Chaotic Motions ◽  
Piezoelectric Beam

This paper investigates the complicated dynamics behavior and the evolution law of the nonlinear vibrations of the simply supported laminated composite piezoelectric beam subjected to the axial load and the transverse load. Using the third-order shear deformation theory and the Hamilton's principle, the nonlinear governing equations of motion for the laminated composite piezoelectric beam are derived. Applying the method of multiple scales and Galerkin's approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of principal parametric resonance and 1:9 internal resonance. From the averaged equations obtained, numerical simulation is performed to study nonlinear vibrations of the laminated composite piezoelectric beam. The axial load, the transverse load, and the piezoelectric parameter are selected as the controlling parameters to analyze the law of complicated nonlinear dynamics of the laminated composite piezoelectric beam. Based on the results of numerical simulation, it is found that there exists the complex nonlinear phenomenon in motions of the laminated composite piezoelectric beam. In summary, numerical studies suggest that periodic motions and chaotic motions exist in nonlinear vibrations of the laminated composite piezoelectric beam. In addition, it is observed that the axial load, the transverse load and the piezoelectric parameter have significant influence on the nonlinear dynamical behavior of the beam. We can control the response of the system from chaotic motions to periodic motions by changing these parameters.

A Numerical Study on Forced Vibration Analysis and Optimum Design of Rotating Composite Multiwalled Carbon Nanotubes-Reinforced Smart Sandwich Plate

2021 ◽  
Author(s):  
Sardar S. Shareef ◽  
S. Rajeshkumar ◽  
Hozan Latif Rauf
Keyword(s):  
Carbon Nanotubes ◽  
Numerical Model ◽  
Optimum Design ◽  
Sandwich Plate ◽  
Numerical Study ◽  
Research Work ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Multiwalled Carbon ◽  
Forced Vibration Analysis

The research work presented in this paper is focused on the investigation of dynamic characteristics and optimum design of rotating laminated composite multi-walled carbon nanotubes-reinforced magnetorheological elastomer (MWCNT-MRE) sandwich plate. Higher-order shear deformation theory (HSDT) and finite element (FE) formulations are employed to derive the governing equations of the composite MWCNT-MRE sandwich plate. The performance of the derived numerical model is validated by comparing it with the results available in the published literature. The free and forced vibrations of the composite MWCNT-MRE sandwich plate are examined at different magnetic fields and rotating speeds. Also, the optimal ply orientations of the MWCNT-MRE sandwich plate are identified using the developed numerical model coupled with a genetic algorithm (GA) to enhance the natural frequencies and loss factors.

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