Forced stationary gas-structure interaction vibrations in a rectangular parallelepiped tank
نویسندگان
چکیده
منابع مشابه
Inertial waves in a rectangular parallelepiped
1 A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The three-dimensional solution is expanded in vertical modes to reduce the dynamics to the horizonta...
متن کاملNonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations
Nonlinear vibrations of thin rectangular plates are considered, using the von Kármán equations in order to take into account the effect of geometric nonlinearities. Solutions are derived through an expansion over the linear eigenmodes of the system for both the transverse displacement and the Airy stress function, resulting in a series of coupled oscillators with cubic nonlinearities, where the...
متن کاملThe Stationary Vibrations of a Rectangular Plate Subjected to Stress Prescribed Partially at the Circumference
The stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic equations. The truncation of the algebraic system is justified. KEYWORDSANDPHRASES. Stat...
متن کاملSeismic Analysis of Rectangular Concrete Tanks by Considering Fluid and Tank Interaction
Many liquid storage tanks around the world have affected by earthquakes. This structure can store dangerous chemical liquids. Hence dynamic behavior of ground supported rectangular storage tanks is very important due to their applications in industrial facilities. In current research, the seismic behavior of two water storage rectangular concrete tanks is examined. For this purpose, these tanks...
متن کاملForced Vibrations of a Nonhomogeneous String
We prove existence of vibrations of a nonhomogeneous string under a nonlinear time periodic forcing term in the case in which the forcing frequency avoids resonances with the vibration modes of the string (nonresonant case). The proof relies on a Lyapunov–Schmidt reduction and a Nash–Moser iteration scheme.
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: PAMM
سال: 2008
ISSN: 1617-7061
DOI: 10.1002/pamm.200810679