166 citations · 729 across the 17 of their papers we have counts for
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How to Compute Invariant Manifolds and their Reduced Dynamics in High-Dimensional Finite-Element Models
Shobhit Jain, George Haller
Invariant manifolds are important constructs for the quantitative and qualitative understanding of nonlinear phenomena in dynamical systems. In nonlinear damped mechanical systems,…
Integral Equations & Model Reduction For Fast Computation of Nonlinear Periodic Response
Gergely Buza, George Haller, Shobhit Jain
We propose a reformulation for the integral equations approach of Jain, Breunung \& Haller [Nonlinear Dyn. 97, 313--341 (2019)] to steady-state response computation for periodicall…
Model Order Reduction for Temperature-Dependent Nonlinear Mechanical Systems: A Multiple Scales Approach
Shobhit Jain, Paolo Tiso
The thermal dynamics in thermo-mechanical systems exhibits a much slower time scale compared to the structural dynamics. In this work, we use the method of multiple scales to reduc…
Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems
Shobhit Jain, Paolo Tiso
Common trends in model order reduction of large nonlinear finite-element-discretized systems involve the introduction of a linear mapping into a reduced set of unknowns, followed b…
Generalization of Quadratic Manifolds for Reduced Order Modeling of Nonlinear Structural Dynamics
J. B. Rutzmoser, D. J. Rixen, P. Tiso +1
In this paper, a generalization of a quadratic manifold approach for the reduction of geometrically nonlinear structural dynamics problems is presented. This generalization is cons…
A Quadratic Manifold for Model Order Reduction of Nonlinear Structural Dynamics
Shobhit Jain, Paolo Tiso, Daniel J. Rixen +1
This paper describes the use of a quadratic manifold for the model order reduction of structural dynamics problems featuring geometric nonlinearities. The manifold is tangent to a…