Near equilibrium dynamics of nonhomogeneous Kirchhoff filaments in viscous media
نویسندگان
چکیده
منابع مشابه
Resonant helical deformations in nonhomogeneous Kirchhoff filaments
We study the three-dimensional static configurations of nonhomogeneous Kirchhoff filaments with periodically varying Young’s modulus. This type of variation may occur in long tandemly repeated sequences of DNA. We analyse the effects of the Young’s modulus frequence and amplitude of oscillation in the stroboscopic maps, and in the regular (non chaotic) spatial configurations of the filaments. O...
متن کاملthe study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media
امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...
Dynamics near an Unstable Kirchhoff Ellipse
We describe the dynamics of the Kirchhoff ellipse by formulating a nonlinear equation for the boundary of a perturbed vortex patch in elliptical coordinates. We demonstrate that in the regime for which the linearized equation of motion is unstable, the nonlinear dynamics of a rather general initial perturbation of the Kirchhoff ellipse are determined by the fastest growing mode for the correspo...
متن کاملKirchhoff Rods with Nonhomogeneous Cross Section
The Kirchhoff’s theory for thin, inextensible, elastic rods with nonhomogeneous cross section is studied. The Young’s and shear moduli of the rod are considered to vary radially, and it is shown that an analytical solution for the constitutive relations can be obtained for circular cross section and constant Poisson’s ratio. We comment on possible applications of our results.
متن کاملTowards a classification of Euler-Kirchhoff filaments
Euler-Kirchhoff filaments are solutions of the static Kirchhoff equations for elastic rods with circular cross-sections. These equations are known to be formally equivalent to the Euler equations for spinning tops. This equivalence is used to provide a classification of the different shapes a filament can assume. Explicit formulas for the different possible configurations and specific results f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2000
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.63.016611