Advanced proper orthogonal decomposition tools: using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of …
I Georgiou - Nonlinear dynamics, 2005 - Springer
Reduced order models for the dynamics of geometrically exact planar rods are derived by
projecting the nonlinear equations of motion onto a subspace spanned by a set of proper …
projecting the nonlinear equations of motion onto a subspace spanned by a set of proper …
[HTML][HTML] Real-time modelling of diastolic filling of the heart using the proper orthogonal decomposition with interpolation
In this research, a reduced order method (ROM) called the Proper Orthogonal
Decomposition with Interpolation (PODI) is used to drastically reduce computation time of …
Decomposition with Interpolation (PODI) is used to drastically reduce computation time of …
On the design of energy–momentum integration schemes for arbitrary continuum formulations. Applications to classical and chaotic motion of shells
The construction of energy–momentum methods depends heavily on three kinds of non‐
linearities:(1) the geometric (non‐linearity of the strain–displacement relation),(2) the …
linearities:(1) the geometric (non‐linearity of the strain–displacement relation),(2) the …
Interaction between slow and fast oscillations in an infinite degree-of-freedom linear system coupled to a nonlinear subsystem: Theory and experiment
The interaction dynamics of a cantilever linear beam coupled to a nonlinear pendulum, a
prototype for linear/nonlinear coupled structures of infinite degrees-of-freedom, has been …
prototype for linear/nonlinear coupled structures of infinite degrees-of-freedom, has been …
Towards real-time cardiac mechanics modelling with patient-specific heart anatomies
A reduced order method (ROM) called the Proper Orthogonal Decomposition with
Interpolation (PODI) is used to solve cardiac mechanics problems in an efficient manner …
Interpolation (PODI) is used to solve cardiac mechanics problems in an efficient manner …
[PDF][PDF] Real-time modelling of the heart using the proper orthogonal decomposition with interpolation
In this research, a reduced order method (ROM) called the Proper Orthogonal
Decomposition with Interpolation (PODI) is used to drastically reduce computation time of …
Decomposition with Interpolation (PODI) is used to drastically reduce computation time of …
Advanced processing of collocated acceleration signals in symmetric beam-like structures with applications to damage detection in a propeller
IT Georgiou - Journal of intelligent material systems and …, 2011 - journals.sagepub.com
It is found that ensembles of collocated experimental acceleration signals induced by
impulses applied sequentially over the surface of beam-like structures are characterized by …
impulses applied sequentially over the surface of beam-like structures are characterized by …
[BOOK][B] Insights and Innovations in Structural Engineering, Mechanics and Computation: Proceedings of the Sixth International Conference on Structural Engineering …
A Zingoni - 2016 - taylorfrancis.com
Insights and Innovations in Structural Engineering, Mechanics and Computation comprises
360 papers that were presented at the Sixth International Conference on Structural …
360 papers that were presented at the Sixth International Conference on Structural …
[PDF][PDF] Proper orthogonal decomposition with interpolation-based real-time modelling of the heart
RR Rama - 2017 - open.uct.ac.za
Several studies have been carried out recently with the aim of achieving cardiac modelling
of the whole heart for a full heartbeat. However, within the context of the Galerkin method …
of the whole heart for a full heartbeat. However, within the context of the Galerkin method …
Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum
It is shown that the flexible spherical pendulum undergoes purely slow motions with master
and slaved components. The family of slow motions is realized as a three-dimensional …
and slaved components. The family of slow motions is realized as a three-dimensional …