activity
20162026
most citedA Quadratic Manifold for Model Order Reduction of Nonlinear Structural Dynamics

166 citations · 402 across the 16 of their papers we have counts for

collaborators

16 papers

math.NA2026

Craig-Bampton-based Quadratic Manifold for Nonlinear Substructuring

Alexander Saccani, Paolo Tiso

Component Mode Synthesis methods, such as the Craig-Bampton (CB) approach, are widely used in structural dynamics due to their modularity and compatibility with substructuring work…

physics.app-ph2026

A scalability benchmark study of model order reduction techniques for very large, strongly coupled vibroacoustic problems

Sander Metting van Rijn, Linus Taenzer, Paolo Tiso +1

Model Order Reduction (MOR) can significantly reduce the computational cost of vibroacoustic simulations. While most MOR research focuses on single-domain systems (e.g., structural…

math.NA2025

Non-Intrusive Data-Free Parametric Reduced Order Model for Geometrically Nonlinear Structures

Alexander Saccani, Paolo Tiso

We present a fully non-intrusive parametric reduced-order modeling (PROM) framework for geometrically nonlinear structures subject to geometric variations. The method builds upon e…

physics.app-ph2025

Matching frequency response measurements and reduced order models for the inverse identification of viscoelastic properties

Linus Taenzer, Paolo Tiso, Bart Van Damme

3D-printed materials are used in many different industries (automotive, aviation, medicine, etc.). Most of these 3D-printed materials are based on ceramics or polymers whose mechan…

cs.RO2025

AquaROM: shape optimization pipeline for soft swimmers using parametric reduced order models

Mathieu Dubied, Paolo Tiso, Robert K. Katzschmann

The efficient optimization of actuated soft structures, particularly under complex nonlinear forces, remains a critical challenge in advancing robotics. Simulations of nonlinear st…

cond-mat.mes-hall2025

Embodying computation in nonlinear perturbative metamaterials

Sima Zahedi Fard, Paolo Tiso, Parisa Omidvar +1

Designing metamaterials that carry out advanced computations poses a significant challenge. A powerful design strategy splits the problem into two steps: First, encoding the desire…

cs.CE2025

Higher-order transmissibility and its linear approximation for in-service crack identification in train wheelset axles

Ehsan Naghizadeh, Eleni Chatzi, Paolo Tiso

In-service structural health monitoring is a so far rarely exploited, yet potent option for early-stage crack detection and identification in train wheelset axles. This procedure i…

math.NA2024

Accelerating Construction of Non-Intrusive Nonlinear Structural Dynamics Reduced Order Models through Hyperreduction

Alexander Saccani, Paolo Tiso

We present a novel technique to significantly reduce the offline cost associated to non-intrusive nonlinear tensors identification in reduced order models (ROMs) of geometrically n…

math.DS2024

Data-Driven Reduction of the Finite-Element Model of a Tribomechadynamics Benchmark Problem

Ahmed Amr Morsy, Zhenwei Xu, Paolo Tiso +1

Bolted joints can exhibit nonsmooth and significantly nonlinear dynamics. Finite Element Models (FEMs) of this phenomenon require fine spatial discretizations, inclusion of nonline…

cs.CE2022★ 2 cited

A Reduced Order Model for Joint Assemblies by Hyper-Reduction and Model-Driven Sampling

Ahmed Amr Morsy, Mariella Kast, Paolo Tiso

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictiv…

cs.CE2021★ 25 cited

An enhanced parametric nonlinear reduced order model for imperfect structures using Neumann expansion

Jacopo Marconi, Paolo Tiso, Davide E. Quadrelli +1

We present an enhanced version of the parametric nonlinear reduced order model for shape imperfections in structural dynamics we studied in a previous work [1]. The model is comput…

cs.CE2019★ 21 cited

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…

cs.CE2017★ 19 cited

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…

math.DS2017★ 78 cited

Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds

Shobhit Jain, Paolo Tiso, George Haller

We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…

cs.CE2016★ 91 cited

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…

cs.CE2016★ 166 cited

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…