Scholarship in Europe

Fully funded PhD studentship: Modelling high-frequency vibrations of complex built-up structures using transport theory

This project will develop a new high-frequency vibroacoustic simulation tool inspired by mathematical modelling techniques that have been developed in the context of optical tomography and climate science. Working in collaboration with industrial partner, Far UK, you will develop a new approach for simulating high-frequency vibrations in complex built-up structures, such as cars, trains or aircraft. Predicting the vibrational energy throughout these structures is important for minimising noise pollution, structural fatigue, and for passenger comfort.

Developing simulation tools capable of modelling complex three-dimensional structures is highly challenging. For low frequencies, manufacturers typically perform vibroacoustic simulations using commercial software based on numerical solutions of the corresponding equations of motion. The finite element method is widely used here and typically provides reliable estimates of the lower natural frequencies. For higher frequencies, finite element simulations require larger computational models to retain their accuracy, which can easily tip the balance and make the simulations unviable. In addition, uncertainties introduced during manufacturing mean that apparently identical structures from the same production line may have very different vibroacoustic responses at high frequencies. Consequently, finite elements are often abandoned for a highly efficient statistical approach called Statistical Energy Analysis. However, Statistical Energy Analysis is only a coarse tool based on a very limiting set of simplifying assumptions.

The development of improved high-frequency vibroacoustic simulation methods has been an active area of research during the last twenty years. One approach that has been pioneered in Nottingham is Dynamical Energy Analysis, which improves on Statistical Energy Analysis by incorporating wave directionality and local spatial variability of the vibration levels, but with greater computational overheads. Our new high-frequency vibroacoustic simulation tool will contain all the functionality of Dynamical Energy Analysis, but at reduced computational costs. The method will include Statistical Energy Analysis as a coarse mesh implementation, allowing for improvement of the spatial resolution through using finite volume meshes and capturing directionality through Monte-Carlo simulations.

What is funded

The studentship will cover:

  • Tuition fees for Years 1-3 of PhD study at Nottingham Trent University and the thesis-pending fee (a reduced fee for candidates in completing their thesis) in Year 4.
  • A stipend to be paid in monthly arrears in Years 1-3 of PhD study at Nottingham Trent University in line with UK Research and Innovation (UKRI) minimum rates. You can find further information on UKRI rates on the UK Research and Innovation website.


Three years stipend funding and four years of student fees – see above.


The 2023 Nottingham Trent University PhD Studentship Scheme is open to all UK, EU, and Overseas students who meet the academic and scheme eligibility criteria: to check that you are eligible to apply, please consult the criteria below. You must meet the standard qualifications entry criteria for PhD study at Nottingham Trent University which can be found in paragraphs 4.4 and 4.5 of the Quality Handbook Section 11- Research Degrees.

  1. You must be available to begin study at Nottingham Trent University either on our October 2023 entry date or on our January 2024 entry date.
  2. You are only allowed to submit one application relating to one proposal to the 2023 Nottingham Trent University PhD Studentship Scheme.
  3. You must submit a full and complete application by 12 noon (GMT) on Thursday 12 January 2023.

Please note that this Scheme is not available to existing doctoral level candidates who are based at Nottingham Trent University or applicants who already hold a doctoral degree.

Laissez un commentaire

This site uses Akismet to reduce spam. Learn how your comment data is processed.