Research
Research Interests:
My primary research focus is:
Mathematical modeling of a deforming structure
Designing of Finite Element Method for such problems and developing/using in-house/commercial FEM software to solve different example problems
Results shown here were obtained from an FEM software developed in FORTRAN
Finite deformation of an orthotropic non-linearly elastic cantilever plate under a tangential load analyzed using the developed software
Vibration attenuation in plate structures: Phenomenon of ceasing of vibration of a structure after the removal of load under certain temporal characteristics of the load.
The animation shows the mid-surface of an clamped isotropic square plate exhibiting such a phenomenon under a uniform pressure load on the top surface in the form of a triangular pulse in time. The inset shows the plate centroidal displacement history
Published article : Link to article
Mode Localization in rectangular plates due to internal constrained points
We find that a single internal fixed point in a rectangular plate is sufficient to induce strong localization in free and forced vibration response of isotropic and orthotropic linearly elastic rectangular plates. The animation shows the response of an isotropic rectangular clamped plate under a uniform pressure load showing each section vibrating at a different frequency
Published article : Link to article
Media1.mp4My master's research involved:
Finding closed form analytical solutions for plates and tubes buckling in wall buckling (local buckling) mode
Verifying the analytical solutions using simple tube buckling experiments
Running FEM simulations to extensively verify the solutions