Nonlinear Forced Oscillations of a Shallow Spherical Shell
نویسندگان
چکیده
منابع مشابه
Nonlinear Shallow Spherical
We consider the problem of local controllability from the origin for a coupled nonlinear shell via boundary controls.
متن کاملMultiplicity of Forced Oscillations for the Spherical Pendulum
where h : S → R is C and tangent to S, η ≥ 0 and φ : R × TS → R is continuous, T -periodic in t, and such that φ(t, q, v) ∈ TqS for any (t, q, v) ∈ R× TS. In the case when φ does not depend on ẋ, the problem of the existence of T -periodic solutions of (1), for any value of λ, has been positively solved in [2] and [3], and extended to the case of even dimensional spheres in [5]. In this paper, ...
متن کاملA Uniqueness Theorem for a Classical Nonlinear Shallow Shell Model
The main goal of this paper is to establish the uniqueness of solutions of finite energy for a classical dynamic nonlinear thin shallow shell model with clamped boundary conditions. The static representation of the model is an extension of a Koiler shallow shell model. Until now, this has been an open problem in the literature. The primary difficulty is due to a lack of regularity in the nonlin...
متن کاملNonlinear r-modes in a spherical shell: issues of principle
We use a simple physical model to study the nonlinear behaviour of the r-mode instability. We assume that r-modes (Rossby waves) are excited in a thin spherical shell of rotating incompressible fluid. For this case, exact Rossby wave solutions of arbitrary amplitude are known. We find that: (a) These nonlinear Rossby waves carry ZERO physical angular momentum and positive physical energy, which...
متن کاملForced oscillations of a damped Korteweg-de Vries equation on a periodic domain
In this paper, we investigate a damped Korteweg-de Vries equation with forcing on a periodic domain $mathbb{T}=mathbb{R}/(2pimathbb{Z})$. We can obtain that if the forcing is periodic with small amplitude, then the solution becomes eventually time-periodic.
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: Bulletin of JSME
سال: 1984
ISSN: 0021-3764,1881-1426
DOI: 10.1299/jsme1958.27.2233