All Stories

  1. The new knowledge gained by 12 theorems/lemmas form the start of the new Perpetual Mechanics Theory.

    Article • January 2024, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  2. Erratum: Exact Augmented Perpetual Manifolds Define Specifications for the Steady States of Similar Rigid Body Modes, a Corollary for Nonautonomous Systems

    Article • International Journal of Structural Stability and Dynamics, October 2023, World Scientific Pub Co Pte Lt

    Prof. Fotios Georgiades/Georgiadis-FHEA

  3. Exact augmented perpetual manifolds as a tool for the determination of similar rigid body modes: Corollary for determining backbone curves of autonomous systems

    Article • Journal of Vibration and Control, September 2022, SAGE Publications

    Prof. Fotios Georgiades/Georgiadis-FHEA

  4. Exact augmented perpetual manifolds of periodic motions, a corollary for natural perpetual mechanical systems behaving partially as perpetual machines of third kind

    Article • Mechanics Research Communications, September 2022, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  5. Exact Augmented Perpetual Manifolds Define Specifications for the Steady States of Similar Rigid Body Modes, a Corollary for Nonautonomous Systems

    Article • International Journal of Structural Stability and Dynamics, June 2022, World Scientific Pub Co Pte Lt

    Prof. Fotios Georgiades/Georgiadis-FHEA

  6. Augmented perpetual manifolds and perpetual mechanical systems-part II: theorem for dissipative mechanical systems behaving as perpetual machines of third kind

    Article • Nonlinear Dynamics, February 2022, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  7. Augmented Perpetual Manifolds, a Corollary: Dynamics of Natural Mechanical Systems with Eliminated Internal Forces

    Article • January 2022, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  8. Corollary for the exact augmented perpetual manifolds of linear and nonlinear mechanical systems

    Article • International Journal of Non-Linear Mechanics, December 2021, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  9. Augmented Perpetual Manifolds and Perpetual Mechanical Systems-Part II: Theorem for Dissipative Mechanical Systems Behaving as Perpetual Machines

    Article • October 2021, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  10. Exact Augmented Perpetual Manifolds: Corollary about Different Mechanical Systems with Exactly the Same Motions

    Article • Mathematical Problems in Engineering, September 2021, Wiley

    Prof. Fotios Georgiades/Georgiadis-FHEA

  11. Augmented Perpetual Manifolds and Perpetual Mechanical Systems-Part II: Theorem and a Corollary for Dissipative Mechanical Systems Behaving as Perpetual Machines

    Article • June 2021, Research Square

    Prof. Fotios Georgiades/Georgiadis-FHEA

  12. Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

    Article • Journal of Computational and Nonlinear Dynamics, June 2021, ASME International

    Prof. Fotios Georgiades/Georgiadis-FHEA

  13. Perpetual points in natural mechanical systems with viscous damping: A theorem and a remark

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, June 2020, SAGE Publications

    Prof. Fotios Georgiades/Georgiadis-FHEA

  14. Chaotic Dynamics in Spinning Shafts with Non-constant Rotating Speed Described by Variant Lyapunov Exponents

    Article • January 2020, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  15. Theorem and Observation About the Nature of Perpetual Points in Conservative Mechanical Systems

    Article • July 2019, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  16. Nonlinear dynamics of a spinning shaft with non-constant rotating speed

    Article • Nonlinear Dynamics, November 2017, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  17. Nonlinear equations of motion of L-shaped beam structures

    Article • European Journal of Mechanics - A/Solids, September 2017, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  18. Towards Determination of Critical Speeds of a Rotating Shaft with Eccentric Sleeves: Equations of Motion

    Article • January 2015, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  19. Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle

    Article • Meccanica, April 2014, Springer Science + Business Media

    Prof. Fotios Georgiades/Georgiadis-FHEA

  20. Linear modal analysis of L-shaped beam structures

    Article • Mechanical Systems and Signal Processing, July 2013, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  21. Towards linear modal analysis for an L-shaped beam: Equations of motion

    Article • Mechanics Research Communications, January 2013, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  22. Linear Modal Analysis of L-shaped Beam Structures – Parametric Studies

    Article • Journal of Physics Conference Series, August 2012, Institute of Physics Publishing

    Prof. Fotios Georgiades/Georgiadis-FHEA

  23. Rational Placement of a Macro Fibre Composite Actuator in Composite Rotating Beams

    Article • Journal of Physics Conference Series, August 2012, Institute of Physics Publishing

    Prof. Fotios Georgiades/Georgiadis-FHEA

  24. Passive targeted energy transfers and strong modal interactions in the dynamics of a thin plate with strongly nonlinear attachments

    Article • International Journal of Solids and Structures, June 2009, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  25. Modal Analysis of a Nonlinear Periodic Structure with Cyclic Symmetry

    Article • AIAA Journal, April 2009, American Institute of Aeronautics and Astronautics (AIAA)

    Prof. Fotios Georgiades/Georgiadis-FHEA

  26. Vibro-impact attachments as shock absorbers

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, October 2008, SAGE Publications

    Prof. Fotios Georgiades/Georgiadis-FHEA

  27. Nonlinear Modal Analysis and Energy Localization in a Bladed Disk Assembly

    Article • January 2008, ASME International

    Prof. Fotios Georgiades/Georgiadis-FHEA

  28. Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment

    Article • International Journal of Solids and Structures, September 2007, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  29. Dynamics of a linear beam with an attached local nonlinear energy sink

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2007, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  30. Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment

    Article • International Journal of Non-Linear Mechanics, June 2007, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA

  31. Localization of Energy in a Perfectly Symmetric Bladed Disk Assembly Due to Nonlinearities

    Article • January 2007, ASME International

    Prof. Fotios Georgiades/Georgiadis-FHEA

  32. Passive Targeted Energy Transfers and Strong Modal Interactions in a Thin Plate With Strongly Nonlinear End Attachments of Different Configurations

    Article • January 2007, ASME International

    Prof. Fotios Georgiades/Georgiadis-FHEA

  33. SHOCK ISOLATION THROUGH PASSIVE ENERGY PUMPING CAUSED BY NONSMOOTH NONLINEARITIES

    Article • International Journal of Bifurcation and Chaos, June 2005, World Scientific Pub Co Pte Lt

    Prof. Fotios Georgiades/Georgiadis-FHEA

  34. Characterisation of pit geometry in cold-rolled stainless steel strip

    Article • Wear, November 2002, Elsevier

    Prof. Fotios Georgiades/Georgiadis-FHEA