Axisymmetric Vibrations of Thin Shells of Revolution
نویسندگان
چکیده
منابع مشابه
Free vibrations of axisymmetric shells: Parabolic and elliptic cases
Approximate eigenpairs (quasimodes) of axisymmetric thin elastic domains with laterally clamped boundary conditions (Lamé system) are determined by an asymptotic analysis as the thickness (2ε) tends to zero. The departing point is the Koiter shell model that we reduce by asymptotic analysis to a scalar model that depends on two parameters: the angular frequency k and the half-thickness ε. Optim...
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Vibrations of circular cylindrical shells made of layered composite materials are considered. The shells are weakened by circumferential cracks. The influence of circumferential cracks with constant depth on the vibration of the shell is prescribed with the aid of a matrix of local flexibility coupled with the coefficient of the stress intensity known in the linear elastic fracture mechanics. N...
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The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. In particular, three types of shells of revolution are considered. A result concerning the ratio between the bending and the total elastic energy is also provided, by using the general theory detailed in [2, 3].
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This review paper aims to present an updated review of papers, conference papers, books, dissertations dealing with nonlinear vibrations of circular cylindrical thin shells. This paper surveyed mathematically, experimentally, analytically, numerically analyzed vibrations of cylindrical shells. This includes shells of open type, closed type, with and without fluid interactions; shells subjected ...
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Lower dimensional models of shells are preferred in numerical computations to threedimensional models when the thickness of the shells is “very small”. A lot of work has been done on the lower dimensional approximation of boundary value and eigenvalue problem for elastic plates and shells (cf.[2], [3] [4], [5], [6], [8],[9]). Recently some work has been done on the lower dimensional approximati...
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ژورنال
عنوان ژورنال: Bulletin of JSME
سال: 1984
ISSN: 0021-3764,1881-1426
DOI: 10.1299/jsme1958.27.974