In this paper, using a new analytical method, we solved the beam equation for a uniform bio- and nano-filament in a viscous solution. The filament is assumed to be attached at its two ends and driven by ultrasound plane waves. To obtain analytical solutions, we converted the beam equation to an equation that allows us the use of the method of separation of variables.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
July 2009
The so-called shooting-bead method is a fast and easy experimental technique for evaluating cantilever stiffness and flexural rigidity of semiflexible to semirigid rodlike biological and nano-filaments based on the measurement of just two distances. In this paper we have derived the shooting-bead formula for cantilever stiffness and flexural rigidity taking into account the effects of the viscous drag force exerted on the filament itself. To this end, we have defined a key variable, called the filament energy-loss factor (or filament drag factor), which accounts for all the energy-loss effects.
View Article and Find Full Text PDF