Projects / Programmes
Multi-parametric dynamic modelling of layered strongly inhomogeneous elastic structures
| Code |
Science |
Field |
Subfield |
| 2.05.00 |
Engineering sciences and technologies |
Mechanics |
|
| Code |
Science |
Field |
| T210 |
Technological sciences |
Mechanical engineering, hydraulics, vacuum technology, vibration and acoustic engineering |
| Code |
Science |
Field |
| 2.03 |
Engineering and Technology |
Mechanical engineering |
structural dynamics, multiparametric analysis, layered plate, contrast properties, bending and shear deformation, Saint-Venant principle
Researchers (12)
Organisations (4)
Abstract
Multi-layered engineering structures with high contrast material and geometric parameters, used in modern industrial applications, are often subject to intensive dynamic loading drastically affecting their performance. This motivates the development of specialised powerful theories and robust computational methodologies aimed at advanced multi-parametric analysis involving accurate evaluation and qualitative interpretation of vibration spectra and associated displacement and stress fields, which are invaluable both for the optimal design and non-destructive testing. Nowadays, there are no mathematically consistent 2D dynamic theories, i.e. the equations of motion and associated boundary conditions, for thin elastic structures specially oriented to a broad enough variety of setups of the contrast between various characteristics of the layers arising in high-tech domains. The contrast properties of layered structures also bring in a number of challenges in numerical computation of dynamic response.
The ultimate goal of the proposed research is the derivation of consistent 2D dynamic models for layered strongly inhomogeneous structures. This complex and challenging problem assumes elucidation of analytical, computational and experimental aspects of their dynamic behaviour with the main emphasis on interaction of shear and bending waves.
Dynamic behaviour of strongly inhomogeneous layered elastic plates is investigated. Four types of high contrast in material and geometrical parameters of the layers, arising in modern industries including light-weight sandwich structures, are considered. For each type of contrast scenario, a 2D consistent plate model is derived via multi-parametric analysis of the original 3D problem in elasticity. The models consist of equations of motion, as well as boundary conditions obtained by generalising the conventional Saint-Venant principle. Along with the bending vibration modes, the aforementioned models also support the lowest shear modes with small cut-off frequencies. The proposed formulations are validated by FEM calculations, and also visualised experimentally.
The project team consists of four partner institutions, including project group members having a world leading experience in the field of structural dynamics, as well as a substantial competence both in computational and experimental mechanics. The modern experimental equipment used by the project team includes laser vibrometers, accelerometers, strain gauges and optical imagery system.
The proposed approach is expected to make a major contribution to the new area within structural dynamics related to multi-parametric analysis of strongly inhomogeneous structures. It enables numerous extensions and generalisations, such as taking into account curvature, anisotropy, asymmetry, and viscosity. The potential applications of the project results involve, in particular, design and manufacturing of lightweight structural elements, which exhibit a better performance, than their heavyweight counterparts, especially for automotive industry.
Significance for science
Layered structures with high-contrast properties of the layers, including lightweight sandwich structures, which also demonstrate a relatively large flexural stiffness, are in a great demand for modern aerospace, automotive, and civil engineering. As mentioned in the previous parts of the project proposal, the requirements to the underlying theories and computational methodologies used in these applications nowadays become very rigorous. Therefore, it is of substantial importance to have efficient theoretical and computational tools for the optimal design, accurate evaluation and qualitative interpretation of mechanical behaviour of such structures. In view of this, the main scientific contribution of the project will be in the establishment of the consistent 2D dynamic models for the multi-parametric analysis of the layered strongly inhomogeneous structures with a special emphasis on the shear and bending waves interaction. This will considerably enrich the existing fundamental knowledge in the general field of structural mechanics, particularly in the area of dynamics of strongly inhomogeneous structures.
Developed comprehensive approach combining analytical, computational and experimental aspects will provide a strong theoretical background for improving and optimizing existing engineering methodologies for solving various issues related to dynamic modelling of high-contrast layered structures, including lightweight sandwich components. It will enable efficient science-based design and mechanical characterization of such products, and may also lead to the improvement of their functionality.
Possible new research areas beyond the proposal involve the development of lightweight structural elements, especially for automotive industry, which exhibit a better performance than their heavyweight counterparts. Another possibility is related to the optimization of dynamic characteristics of composite coatings utilized for increasing seismic building resistance.
Significance for the country
Layered structures with high-contrast properties of the layers, including lightweight sandwich structures, which also demonstrate a relatively large flexural stiffness, are in a great demand for modern aerospace, automotive, and civil engineering. As mentioned in the previous parts of the project proposal, the requirements to the underlying theories and computational methodologies used in these applications nowadays become very rigorous. Therefore, it is of substantial importance to have efficient theoretical and computational tools for the optimal design, accurate evaluation and qualitative interpretation of mechanical behaviour of such structures. In view of this, the main scientific contribution of the project will be in the establishment of the consistent 2D dynamic models for the multi-parametric analysis of the layered strongly inhomogeneous structures with a special emphasis on the shear and bending waves interaction. This will considerably enrich the existing fundamental knowledge in the general field of structural mechanics, particularly in the area of dynamics of strongly inhomogeneous structures.
Developed comprehensive approach combining analytical, computational and experimental aspects will provide a strong theoretical background for improving and optimizing existing engineering methodologies for solving various issues related to dynamic modelling of high-contrast layered structures, including lightweight sandwich components. It will enable efficient science-based design and mechanical characterization of such products, and may also lead to the improvement of their functionality.
Possible new research areas beyond the proposal involve the development of lightweight structural elements, especially for automotive industry, which exhibit a better performance than their heavyweight counterparts. Another possibility is related to the optimization of dynamic characteristics of composite coatings utilized for increasing seismic building resistance.
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Interim report
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