Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations
نویسندگان
چکیده
منابع مشابه
Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations
6 The dynamics of heterogeneous materials, like rocks and concrete, is complex. It includes such features as nonlinear elasticity, hysteresis, and long-time relaxation. This dynamics is very sensitive to microstructural changes and damage. The goal of this paper is to propose a physical model describing the longitudinal vibrations in heterogeneous material, and to develop a numerical strategy t...
متن کاملLow Frequency Longitudinal Vibrations of an Elastic Bar Made of a Dynamic Material and Excited at One End
The dynamic materials, particularly the spatio-temporal composites, have been investigated in a number of recent publications. In the present paper, we examine a dynamic performance of an elastic bar with material parameters specified as an activated (moving at uniform velocity V ) periodic pattern of segments occupied by ordinary materials 1 and 2, with density ρ and stiffness k specified as ρ...
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...
Slow motions in systems with inertially excited vibrations
A nonlinear system with two degrees of freedom consisting of a rigid platform and mechanical vibroactuator is considered. The platform, connected to an immovable base by means of elastic and damping elements can move along a fixed direction. The mechanical vibroactuator is an unbalanced rotor, mounted on the platform and driven with an electric drive. Such a system is a model of many vibrationa...
متن کاملAn efficient analytical solution for nonlinear vibrations of a parametrically excited beam
An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. The Galerkin’s method is used to convert the equation of motion to a nonlinear ordin...
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: Wave Motion
سال: 2015
ISSN: 0165-2125
DOI: 10.1016/j.wavemoti.2015.02.014