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Structural Engineering and Mechanics Volume 70, Number 5, June10 2019 , pages 551-562 DOI: https://doi.org/10.12989/sem.2019.70.5.551 |
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Transient response of rhombic laminates |
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Anish, Abhay K. Chaubey, Satyam Vishwakarma, Ajay Kumar, Stanis Fic and Danuta Barnat-Hunek
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| Abstract | ||
| In the present study, a suitable mathematical model considering parabolic transverse shear strains for dynamic analysis of laminated composite skew plates under different types of impulse and spatial loads was presented for the first time. The proposed mathematical model satisfies zero transverse shear strain at the top and bottom of the plate. On the basis of the cubic variation of thickness coordinate in in-plane displacement fields of the present mathematical model, a 2D finite element (FE) model was developed including skew transformations in the mathematical model. No shear correction factor is required in the present formulation and damping effect was also incorporated. This is the first FE implementation considering a cubic variation of thickness coordinate in in-plane displacement fields including skew transformations to solve the forced vibration problem of composite skew plates. The effect of transverse shear and rotary inertia was incorporated in the present model. The Newmark-beta scheme was adapted to perform time integration from step to step. The C0 FE formulation was implemented to overcome the problem of C1 continuity associated with the cubic variation of thickness coordinate in in-plane displacement fields. The numerical studies showed that the present 2D FE model predicts the result close to the analytical results. Many new results varying different parameter such as skew angles, boundary conditions, etc. were presented. | ||
| Key Words | ||
| transient analysis; laminated composite skew plate; impulse | ||
| Address | ||
| Anish: Department of Civil Engineering, Birla Institute of Technology Mesra, Patna Camus, Patna - 800014, India Abhay K. Chaubey: Department of Civil Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522502, India Satyam Vishwakarma, Ajay Kumar:Department of Civil Engineering, National Institute of Technology Patna, Patna-800005, India Stanislaw Fic and Danuta Barnat-Hunek: Department of Construction, Faculty of Civil Engineering and Architecture, Lublin University of Technology, Nadbystrzycka 40, Lublin, Poland | ||