.Vibration of nonlocal perforated nanobeams with general boundary conditions

Faculty Engineering Year: 2020
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Smart Structures and Systems Techno-Press Volume:
Keywords : .Vibration , nonlocal perforated nanobeams with general    
Abstract:
This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nano electromechanical systems NEMS.
   
     
 
       

Author Related Publications

  • Norhan Alaaeldeen Mohamed Ali Hsan , "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Surface energy effects on the nonlinear free vibration of functionally graded Timoshenko nanobeams based on modified couple stress theory", World Scientific Publishing Company, 2019 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes", Taylor & Francis Group, 2019 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1 + 1)-, (2 + 1)-dimensional, and coupled forms", John Wiley & Sons, Ltd, 2021 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms", Wiley, 2021 More

Department Related Publications

  • Adel Fathy Meselhy Ibrahiem, "Effect of some manufacturing parameters on mechanical properties of extruded Al-alumina composites", لايوجد, 1900 More
  • Ashraf Abdelfattah Ali Hassanein, "A novel 3-D graphite structure from thermally stabilized electrospun MWCNTs/PAN nanofibril composite fabrics", International Journal of Advanced Manufacturing Technology, 2014 More
  • Amal Elhosaieny Meselhy Alshorbagy, "Free vibration characteristics of a functionally graded beam by finite element method", www.elsevier.com/locate/apm, 2010 More
  • Mohammed Abdelmoniem Mohamed Eltaher , "Static and buckling analysis of functionally graded Timoshenko nanobeams", www.elsevier.com, 2014 More
  • Tamer Ali Abdella Sebaee, "AN EXPERIMENTAL STUDY ON THE BOLTED JOINT CONNECTIONS IN GFRE [0/90]2S LAMINATES", Minoufiya University, 2009 More
Tweet