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Steel and Composite Structures
  Volume 50, Number 1, January 10 2024 , pages 25-43
DOI: https://doi.org/10.12989/scs.2024.50.1.025
 


Vibration of bio-inspired laminated composite beams under varying axial loads
Tharwat Osman, Salwa A. Mohamed, Mohamed A. Eltaher, Mashhour A. Alazwari and Nazira Mohamed

 
Abstract
    In this article, a mathematical model is developed to predict the dynamic behavior of bio-inspired composite beam with helicoidal orientation scheme under variable axial load using a unified higher order shear deformation beam theory. The geometrical kinematic relations of displacements are portrayed with higher parabolic shear deformation beam theory. Constitutive equation of composite beam is proposed based on plane stress problem. The variable axial load is distributed through the axial direction by constant, linear, and parabolic functions. The equations of motion and associated boundary conditions are derived in detail by Hamilton's principle. Using the differential quadrature method (DQM), the governing equations, which are integro-differential equations are discretized in spatial direction, then they are transformed into linear eigenvalue problems. The proposed model is verified with previous works available in literatures. Parametric analyses are developed to present the influence of axial load type, orthotropic ratio, slenderness ratio, lamination scheme, and boundary conditions on the natural frequencies of composite beam structures. The present enhanced model can be used especially in designing spacecrafts, naval, automotive, helicopter, the wind turbine, musical instruments, and civil structures subjected to the variable axial loads.
 
Key Words
    bio-inspired composite beams; Differential Quadrature Method (DQM); helicoidal orientation; parabolic shear beam theory; variable axial in-plane load; Vibration Analysis
 
Address
Tharwat Osman, Salwa A. Mohamed and Nazira Mohamed:Department of Engineering Mathematics, Faculty of Engineering, P.O. Box 44519, Zagazig, Egypt

Mohamed A. Eltaher:1)Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
2)Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

Mashhour A. Alazwari:Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
 

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