Abstract
The free vibration of soft-core sandwich beams is analyzed by using the weak form quadrature element method. An N-node novel weak form quadrature sandwich beam element is established based on the extended high-order sandwich panel theory and the differential quadrature rule. Gauss quadrature is used to obtain the element stiffness and consistent mass matrices numerically. Detailed formulations are given. Convergence study shows the fast rate of convergence. The validity and the capability of the novel beam element are examined through comparison with analytic results based on the same theory and two-dimensional finite element data. It is shown that one proposed beam element can yield very accurate frequencies with a relatively small number of nodal points. New data of soft-core sandwich beams with boundary conditions other than the simply supported one, not available in literature, are provided. These data may be referential with which other researchers can compare their results during developing new numerical methods.
Published Version
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