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...
متن کاملFree vibrations for some Koiter shells of revolution
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].
متن کاملGeneration and Fracturing of Thick Shells
In this paper we present methods to generate and animate shells with a pre-defined thickness. Given a polygonal surface mesh, a thick shell is constructed by computing a second, extruded polygonal surface. We introduce methods to simulate deformation and fracture of thick shells in realtime. Mass-spring models are used in this context. A novel simulation framework to generate, animate and inter...
متن کاملfree vibrations of functionally graded circular cylindrical shells under internal pressure
free vibration of simply supported circular cylindrical shell made of functionally graded material (fgm) under internal pressure was investigated. the effective material properties are assumed to vary continuously along the thickness direction according to a volume fraction power law distribution. first order shear deformation theory based on love's first approximation theory was utilized in th...
متن کاملNon-linear vibrations of imperfect free-edge circular plates and shells
Large-amplitude, geometrically non-linear vibrations of free-edge circular plates with geometric imper-fections are addressed in this work. The dynamic analog of the von Kármán equations for thin plates, with a stress-free initial deflection, is used to derive the imperfect plate equations of motion. An expansion onto the eigenmode basis of the perfect plate allows discretization of the equatio...
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ژورنال
عنوان ژورنال: Bulletin of JSME
سال: 1986
ISSN: 0021-3764,1881-1426
DOI: 10.1299/jsme1958.29.3036