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Nonlinear vibration of cross-ply laminated open shells under external excitation

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Abstract

Laminated composite structural components, quite often in the form of shell, manage to find wide applicability in industries where they are exposed to active loads leading to large-amplitude vibrations. The assumption based on linear strain-displacement relation lead to erroneous displacement/stress predictions, therefore the inclusion of geometric nonlinearity happens to be vital for efficient component design. The present analysis is intended to inspect the effects of aspect ratio, dynamic load amplitude and edge constraints on the nonlinear forced vibration characteristics of a laminated shell under harmonic excitations. The finite element analysis has been carried based on the kinematics of first-order shear deformation theory including geometric nonlinearity. A time domain analysis has been presented using modified shooting technique with unstable portion of the response being obtained using continuation schemes. The scheme employed is competent to get the complete stable and unstable branches post bifurcations. The nonlinear vibration response corresponding to variations in the forcing frequency for laminated open shells has been obtained. The assessment of outward and inward half cycle nonlinear frequency response exhibits that for both cylindrical and conical shells the response amplitude in the inward motion is greater than that in the outward motion during a cycle. This is due to destabilizing action of the membrane stress resultants during inward half cycle. Frequency response curves, temporal variation of response/stresses and FFT of the stresses have been acquired to analyse the nonlinear steady-state forced vibration behaviour of open shells. The uneven half cycle time and greater higher harmonic contributions depicted in the nonlinear response can be judiciously employed for the safe dynamic design of open shells.

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Authors and Affiliations

  1. New York University Abu Dhabi, Abu Dhabi, UAE

    Mohd Taha Parvez

  2. Department of Mechanical Engineering, AMU, Aligarh, UP, India

    Arshad Hussain Khan

  3. Mechanical Engineering Section, University Polytechnic, AMU, Aligarh, UP, India

    Mirza Shariq Beg & Ahmad Saood

Authors
  1. Mohd Taha Parvez
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  2. Arshad Hussain Khan
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  3. Mirza Shariq Beg
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  4. Ahmad Saood
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Correspondence to Mohd Taha Parvez.

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Additional information

Mohd Taha Parvez is a post-doctoral associate in the Laboratory of Applied Nonlinear Dynamics, New York University Abu Dhabi, UAE. He received his Ph.D. in Mechanical Engineering from Aligarh Muslim University, Aligarh, India. His research interest includes computational mechanics, non-linear dynamics and composite structures.

Arshad Hussain Khan is a Professor in the Department of Mechanical Engineering, Aligarh Muslim University, Aligarh. He received his Ph.D. in Applied Mechanics from Indian Institute of Technology, Delhi, India. His area of research includes computational mechanics, nonlinear dynamics, composites and impact mechanics.

Mirza Shariq Beg is an Assistant Professor in the University Polytechnic, Mechanical Engineering Section, Aligarh Muslim University, Aligarh, India. He is currently pursuing Ph.D. in Mechanical Engineering from Aligarh Muslim University, Aligarh, India. His research interests include micromechanics, material and geometrical defects, smart materials, straight and curved structures.

Ahmad Saood is an Assistant Professor in the University Polytechnic, Mechanical Engineering Section, Aligarh Muslim University, Aligarh, India. He received his Ph.D. in Mechanical Engineering from Aligarh Muslim University, Aligarh, India. His research interests include Nonlinear dynamics, material and geometrical defects, smart materials, straight and curved structures.

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Parvez, M.T., Khan, A.H., Beg, M.S. et al. Nonlinear vibration of cross-ply laminated open shells under external excitation. J Mech Sci Technol 38, 21–31 (2024). https://doi.org/10.1007/s12206-023-1203-1

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  • DOI: https://doi.org/10.1007/s12206-023-1203-1

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