N. Datta

Bio: N. Datta is an academic researcher from Indian Institute of Technology Kharagpur. The author has contributed to research in topics: Deflection (engineering) & Vibration. The author has an hindex of 1, co-authored 1 publications receiving 10 citations.

Dynamic response of Kirchhoff’s plates to transient hydrodynamic impact loads

Abstract: The dynamic analysis of the elastic response of marine structures to intense, localized, transient, hydrodynamic impact loads is important in the design of marine vessels. A dry and wet dynamic analysis of vibration of a square Kirchhoff’ s plate is presented. The dry and wet natural frequencies and modeshapes of the plate have been evaluated by Galerkin’s method. The transient loads are of two kinds: a uniform stretching load and a hydrodynamic impact load (at different deadrise angles). The stretching load sets the plate into small-amplitude high-frequency vibrations. The computationally efficient normal mode analysis has been used to evaluate the dynamic deflections. Three different boundary conditions of the plate have been used. The response of the plate to these loads has been investigated for a wide range of impact speeds and material properties. The response characteristics have been established, namely (a) maximum deflection, (b) maximum dynamic overshoot relative to the static deflection, (c) quasi-static and dynamic zones of the response over the range of time-scales. The dependency of these characteristics on parameters like the deadrise angles, damping ratios, boundary conditions and forcing configurations have also been studied, to aid the designer. A separate study of the modal participation factor is used to establish modal truncation limits for the analysis, with subsequent increases in the computational efficiency.

Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load

Abstract: The dynamic response spectra of fractionally damped viscoelastic beams subjected to concentrated moving load are presented. This work quantitatively emphasizes the need for fractional-order damping...

Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load

Abstract: The dynamic behavior of the thin plates resting on a fractionally damped viscoelastic foundation subjected to a moving point load is investigated This work explores the application of fractional c

On the transient response of plates on fractionally damped viscoelastic foundation

Abstract: This work underlines the importance of the application of fractional-order derivative damping model in the modelling of the viscoelastic foundation, by demonstrating the effect of various orders of the fractional derivative on the dynamic response of plates resting on the viscoelastic foundation, subjected to concentrated step load. The foundation of the plate is modelled as a fractionally-damped Kelvin–Voigt model. Modal superposition method and Triangular strip matrix approach are used to solve the partial fractional differential equations of motion. The influence of (a) fractional-order derivative, (b) foundation stiffness, and (c) foundation damping viscosity parameter on the dynamic response of the plate are investigated. Theoretical results show that with the increase in the order of derivative, the damping of the system increases, which leads to decreased dynamic response. The results obtained from the fractional-order damping model and integer-order damping model are compared. The results are verified with literature and numerical results (ANSYS).

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load:

Abstract: The dynamic behaviour of an Euler–Bernoulli beam resting on the fractionally damped viscoelastic foundation subjected to a moving point load is investigated. The fractional-order derivative-based K...