The purpose of this session is to bring together both researchers who have successfully developed established techniques for formulating or solving different types of eigenvalue problems and those who are in the process of searching for new strategies to tackle emerging or longstanding problems to exchange ideas on furthering the knowledge base of solving eigenvalue problems in mechanics.

Submissions presenting novel developments and critical reviews on eigenvalues of continuous systems are invited for this session. Continuous systems are physical structures or mechanisms in which the mass and stiffness are assumed to be distributed. Examples include beams, arches, skeletal frames, plates, shells, three dimensional objects and structures composed of these elements and may include fluid-structure interaction, soli-structure interaction, piezoelectric components and non-classically damped systems. Analytical and computational methods for determining natural frequencies and modes, and related problems such as methods for finding critical loads of structures will be the focus of the papers. Presentations dealing with challenges in the application of existing procedures whether they are analytical or computational (FEM) and potential opportunities for addressing these will be encouraged. Papers that deal with the behaviour of physical systems will be considered if the analytical or computational procedures form a significant part of the contribution.

Please note that papers that are found to fall outside the scope of this session may be considered for other sessions.