[ 101 ] abstract from Matthew

_101.json

@@ -6,8 +6,8 @@
     "speakerurl": "https://www.strath.ac.uk/staff/cartmellmatthewprofessor/",
     "institute": "Department of Mechanical and Aerospace Engineering",
     "insturl": "",
-    "title": "TBA",
-    "abstract": "",
+    "title": "Symbolic Computational Dynamics",
+    "abstract": "The term 'symbolic computational dynamics' has evolved over time and has been promoted by ourselves over the years to describe our interdisciplinary research in engineering dynamics, applied mathematics, and symbolic computation and has now gained recognition and some acceptance in the nonlinear dynamics community. This research has been based on a combination of the modelling of time-variant mechanical systems (mostly) using classical equation derivation techniques such as Newton-Euler and Lagrange, the approximate analytical solution of the ODEs, PDEs / BCs, or DAEs that have been derived using appropriate asymptotic methods, and finally the symbolic computation needed to make this whole process as automated and scalable as possible.\n\nSymbolic Computational Dynamics has its roots in the 1970s when early codes such as MACSYMA emerged, and then gained further traction in the later 1980s with the advent of codes such as Maple and Mathematica. It has evolved into a more structured research activity in recent years and this seminar will attempt to summarise some of the principal milestones along the way. The mathematical challenges posed by vibration theory have been exceptionally useful for developing practical algorithmic structures for various asymptotic mathematical methods for approximate solution, notably methods such as Lindstedt-Poincaré, Poincaré-Lighthill, Krylov-Bogoliubov, general averaging, and the method of multiple scales. These experiments with manual analysis started in the early 1980s and eventually led to the development of precursor codes in Mathematica. We started to adopt this code quite early on in our research due to its robustness and powerful functionality. This decision has affected our work significantly, in ways that have continued to work reasonably to our advantage, and we have developed several prototype solvers, mostly exploiting the powerful and adaptable method of multiple scales over the alternatives.\n\nEPSRC funding was first awarded in 1997 and several grants followed, enabling a small research team to be sustained for the following fifteen years. The findings of that period enabled several specialised studies to follow and further PhDs focusing on solver refinements and some initial work on symbolic code for the semi-automated derivation of differential equation models for low dimensional systems.\n\nIn 2020 the start-up company Symbolic Computational Dynamics Ltd (SCD Ltd) was founded, and sufficient private investment was obtained for the co-funding of a further PhD. In 2024 SCD Ltd was proposed for possible spin-out conversion through the University of Strathclyde’s Stage Gate company development programme. This has led to highly significant business development support for a focused programme of product development, with the intention to enter a high growth phase so that SCD software products can be brought to the market within 12 to 15 months.\n\nThis seminar will outline some of the contributions that we have made to the field of symbolic computational dynamics, and the development of our software to the point where commercial products can be planned.",
     "location": "LT? and Online",
     "material":  []
   },