We observed that simultaneous Forcespinning and photopolymerization resulted in a wide variety of fiber morphologies including beads, beads-on-string, uniform fiber, fused fibers, and well-cured fibers.
Instead of checking how close is the behavior of the whole 14-letter string to uniform random distribution, we tested the randomness and uniformity of appearance for various short sub-blocks of the first block.
Thus if there are a lot of 3d points the shape will appear as a string of uniform diameter cylinders each of length L/nseg.
The formation of beads-on-string and uniform fiber morphologies during electrospinning was observed for a series of solutions having the same polymer concentration, surface tension, zero shear viscosity, and conductivity but different degrees of elasticity.
Second, a critical value of elastic stress in the jet, expressed as a function of jet radius and capillary number, is shown to indicate complete suppression of the Rayleigh instability and the transition from 'beads-on-string' to uniform fiber morphology.
To achieve this objective, a novel exact approach is developed to study free vibration of a string with N uniform sections of different mass densities under N different tensions with N+1 attached concentrated masses and springs at the ends.
Furthermore, for a uniform string, they are governed by the same operator as that which governs the system of (N−1) degrees of freedom arising from the corresponding deterministic problem.
The presented control approach is applied to obtain a distributed control law that brings a stretched uniform string, modeled by a wave equation with Dirichlet boundary conditions, to rest in infinite time by considering the displacement of the middle point of the string as the controlled output.
In page 463 [9], the authors left the reader an exercise: "The fundamental tone of a stretched string of given uniform tension along which a given mass has been distributed is lowest when the entire mass is concentrated at the midpoint".
The stringing must be uniform and smooth and may be of any material.
The energetics of translating one-dimensional uniform strings and highly tensioned pipes with vanishing bending stiffness and flowing fluid are analyzed for fixed, free and damped boundary conditions.
