Abstract
This work presents a layerwise formulation for the dynamic analysis of multilayered arches. For modelling the laminate mechanics and layerwise inhomogeniety across the thickness accurately in a laminated arch, an efficient layerwise theory has been developed. This theory has only three independent variables like the most equivalent single layer theories such as the third order theory and the first order shear deformation theory. Hamilton's principle has been adopted to derive equations of motion and consistent boundary conditions. Analytical solution has been presented for the arches having simply supported ends using n terms of the Fourier series. Results of the present theory have been compared with the results available in literature and 2D finite element results obtained using ABAQUS. Natural frequencies for a variety of lamination schemes, radii of curvature and span to thickness ratios have been presented.
| Original language | English |
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| Article number | 012168 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 377 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 13 Jul 2018 |
| Externally published | Yes |
| Event | 1st International Conference on Mechanical, Materials and Renewable Energy, ICMMRE 2017 - Majitar, East Sikkim, India Duration: 8 Dec 2017 → 10 Dec 2017 |