| EPSRC Reference: |
GR/N05673/01 |
| Title: |
TIME INTEGRATION ALGORITHMS FOR THE STEADY STATES OF DISSIPATIVE NON-LINEAR DYNAMIC SYSTEMS |
| Principal Investigator: |
Galvanetto, Dr U |
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| Department: |
Aeronautics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
30 June 2000 |
Ends: |
29 June 2003 |
Value (£): |
53,371
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Construction |
| Information Technologies |
Transport Systems and Vehicles |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The solution of the steady-state dynamics of dissipative non-linear mechanical systems involves the numerical integration of the governing equations of motion over a large time duration. This time duration should be adequately large to ensure that the transients die down and the solution captures the steady-state dynamics. This demands that the integration scheme be stable and accurate. The scheme, which was found wide acceptance for non-linear dynamic problems, is the fourth-order Runge-Kutta method that is not a preferred integration scheme for engineering solutions, because it calls for four equations solutions per time-step and requires a small time step to get accurate results from stiff equations. These drawbacks have restricted the study of non-linear dynamics and chaos to a limited number of degrees of freedom. This fast stream proposal aims to simulate the non-linear dynamics of dissipative structures with the finite element method and to check the validity of the results by using non-linear dynamic systems theory. This proposal will examine the capability of different integration schemes to describe the attractors, their shape, their size and their transitions as a driving parameter is changed. It will also try to develop new variable-step integrations schemes and realistic simulations of structural damping.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |