The solution methodologies for nonlinear differential equations play a significant role in the area of theoretical mechanics, in particular large deflection of beams. In this paper, Euler–Bernoulli’s equation is adapted along with R. Da Silva method for solving the problem of large deflection on multilayered cantilever beams with interlayer slip analytically. Interlayer slip, horizontal displacement and large deflection nonlinear differential equations of multilayered Euler–Bernoulli cantilever beams were derived. The equations are applied to the typical partially interacted multilayered cantilever beam problem with point and uniformly distributed load. Solutions of the geometrically linear theory and geometrically nonlinear theory are compared.
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“Large deflection of multilayered composite cantilever beams with interlayer slip” study was funded by VIT University, Vellore, India—632014.
Conflict of interest
R. Loganathan has received research grants as Research scholar from VIT University. Dr. Arun Tom Mathew is working as the Professor in VIT university (School of Mechanical Engineering). The authors declare that they have no conflict of interest.
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Rajendran, L., Mathew, A.T. Analytical Solution for Large Deflection of Multilayered Composite Cantilever Beams with Interlayer Slip. Iran J Sci Technol Trans Mech Eng 44, 23–33 (2020). https://doi.org/10.1007/s40997-018-0246-x
- Multilayered beams
- Interlayer slip
- Large deflection
- Partial interaction