Structural and geometric applications of the geodesic dynamic relaxation method
Document typeConference lecture
Rights accessOpen Access
The Geodesic Dynamic Relaxation method1 is an extension of the existing Dynamic Relaxation method that allows the user to incorporate equality constraint conditions to minimization problems of strain energy functions. The existing Dynamic Relaxation method has been widely adopted as a form-finding method for mechanically and pneumatic pre-stressed tensile and bending active systems. While each structural component is usually modelled using an elastic material in the Dynamic Relaxation method, equality constraint conditions are introduced in the Geodesic Dynamic Relaxation Method as an alternative way to model some of the structural components in form-finding problems. While the Geodesic Dynamic Relaxation method directly relates to the structural behavior of systems, the algorithm can also be used in a purely geometric context. More specifically, it allows the user to construct a geodesic line on an implicit surface. his paper explains the Geodesic Dynamic Relaxation method briefly, and demonstrates both its structural and geometric applications. The structural applications relate to pre-stressed tensile structures, whereas the geometric application demonstrates the generation of fractal trees with geodesic branches on given implicit surfaces. The paper concludes and makes suggestions for future works. This paper will be of interest to structural and architectural engineers with an interest in computational design as well as computer scientists.
CitationMiki, M. Structural and geometric applications of the geodesic dynamic relaxation method. A: Structural Membranes 2015. "Textiles composites and inflatable structures VII : proceedings of the VII International Conference on Textile Composites and Inflatable Structures, Barcelona, Spain. 19-21 October, 2015". Barcelona: CIMNE, 2015, p. 26-33.