| EPSRC Reference: |
GR/R21875/01 |
| Title: |
Dynamic Stiffness Formulation for a New Generation of Structural Elements Using Symbolic Computation |
| Principal Investigator: |
Banerjee, Professor JR |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mechanical Engineering and Aeronautics |
| Organisation: |
City, University of London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 November 2001 |
Ends: |
31 October 2004 |
Value (£): |
122,817
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| EPSRC Research Topic Classifications: |
| Eng. Dynamics & Tribology |
Materials testing & eng. |
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| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Construction |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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16 Jan 2001
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CEM Programme Panel (Call 4)
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Deferred
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Summary on Grant Application Form |
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Because of the approximations involved, conventional methods such as the finite element method can lead to large errors when performing dynamic analysis of structures, particularly when higher natural frequencies and mode shapes become important. In this project, an elegant alternative method, namely the dynamic stiffness method is proposed to perform firstly a modal and then a response analysis of complex structural elements including those made of composite materials. Starting from the allowable displacement field within the element, the strain (and kinetic) energy expressions will be formulated by making rigorous use of the theory of elasticity. Hamilton's principle will then be applied to derive the governing differential equations of motion of the structural element. The integration by parts of the (much expected) complex expressions in the Hamiltonian formulation will be carried out by appropriate use of symbolic computation. The resulting equations will then be solved both analytically and numerically. Next the dynamic stiffness matrix will be formulated by applying the boundary conditions, thus relating the harmonically varying forces with the harmonically varying displacements at the ends of the structural element. Further use of sybmolic computation will be made to obtain each term of the dynamic stiffness matrix of the structural element in explicit algebraic form. Finally the dynamic stiffness matrix will be used in conjunction with the Wittrick-Williams algorithm to study the free vibration and response behaviour of complex structural systems. The investigation will pave the way for further research on structural (dynamic) response using dynamic stiffness formulation.
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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.city.ac.uk |