Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider equilibrium configurations of inextensible, unshearable, isotropic, uniform and naturally straight and prismatic rods when subject to end loads and clamped boundary conditions. In a first paper [Neukirch & Henderson, 2002],  discussed symmetry properties of the equilibrium configurations of the center line of the rod. Here,  are interested in the set of all parameter values that yield equilibrium configurations that fulfill clamped boundary conditions.  call this set the solution manifold and  compute it using a recently introduced continuation algorithm.  then describe the topology of this manifold and how it comprises different interconnected layers.  show that the border set of the different layers is the ll-known solution set of buckled rings.
['Michael E. Henderson', 'S. Neukirch']
I am writing a research paper on a idea CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET
[{"from": "human", "value": "I am writing a research paper on a idea CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider equilibrium configurations of inextensible, unshearable, isotropic, uniform and naturally straight and prismatic rods when subject to end loads and clamped boundary conditions. In a first paper [Neukirch & Henderson, 2002],  discussed symmetry properties of the equilibrium configurations of the center line of the rod. Here,  are interested in the set of all parameter values that yield equilibrium configurations that fulfill clamped boundary conditions.  call this set the solution manifold and  compute it using a recently introduced continuation algorithm.  then describe the topology of this manifold and how it comprises different interconnected layers.  show that the border set of the different layers is the ll-known solution set of buckled rings."}]