Seminar: Robust Reduced Order Model Generation for Nonlinear Mechanical Systems- Manoj Pandey, IIT Madras

Description

Robust Reduced Order Model Generation for Nonlinear Mechanical Systems
Manoj Pandey, IIT Madras  
MSAE, Georgia Tech
Friday, July 8, 11am – 12 pm, Upson 531

Abstract: 
Design problems using high fidelity numerical methods such as Finite Element Analysis (FEA) can be computationally intensive, especially if they require multiple runs for different loading conditions or varying system parameters. This can be even more significant if the problem is highly nonlinear and involves coupling of different physical phenomena. Hence Reduced Order Models (ROM) which can reproduce the simulation results with high accuracy, while working at a low computational budget are desirable. Subspace projection-based ROMs are widely used for the analysis of linear systems, using linear Eigen modes as projection basis that can decouple the system into equations corresponding to modal coordinates. However such an approach doesn’t work effectively for a nonlinear system and requires consideration of a large number of Eigen modes for accurate results. Empirically obtained modes called Proper Orthogonal Modes (POM) are found to be useful for subspace projection of even a nonlinear system. Here the solution is typically found to be lying in a subspace whose size is much smaller than the full order system. The POM are obtained by processing results from a short high fidelity training simulation and projection of the system dynamics onto the same, converting a large DOF system to a smaller, albeit nonlinear set of ODEs that can be used for exploration of the design space. We look at the application of this approach to problems involving chaotic structural response, Fluid-structure interaction and nonlinear contact.

Biosketch:
Manoj Pandey is an Associate Professor in the department of Mechanical Engineering at Indian Institute of Technology (IIT) Madras. He obtained his BTech degree from IIT Madras in 2001. MS and PhD from the Field of Theoretical and Applied Mechanics at Cornell University in 2003 and 2007 respectively, studying nonlinear dynamics of MEMS. He did his Post-Doctoral research at the Sonic MEMS lab of Cornell University from 2009-2012 and worked in industry for four years at Abaqus and Corning. He has been a faculty at IIT Madras since 2012. Currently he is a visiting faculty at the department of Mechanical Engineering of Purdue University. His current research interest lies in nonlinear dynamics of coupled MEMS oscillators, constitutive modeling of nonlinear systems and reduced order model generation for nonlinear dynamical systems.
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