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Formulas for natural frequency and mode shape

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The article was published on 1979-01-01 and is currently open access. It has received 2002 citations till now. The article focuses on the topics: Natural frequency & Normal mode.

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Vibrations of Complete Spherical Shells With Imperfections

TL;DR: In this article, the frequency and mode shapes of complete spherical shells with and without geometrical imperfections are compared with axisymmetric and non-axisymetric theories of vibration of spherical shells.
Journal ArticleDOI

Buckling of a composite cantilever circular cylindrical shell subjected to uniform external lateral pressure

TL;DR: In this paper, a solution is presented for a buckling problem formulated for the cantilever circular cylindrical composite shell subjected to uniform external lateral pressure, where the edge of the shell is fully clamped at one end of the cylinder and is free at the open section of the other end.
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Fundamental frequency of the CCCF composite sandwich plate

TL;DR: In this paper, the fundamental frequency of the CCCF composite sandwich plate is derived using Hamilton's principle in conjunction with the first-order shear deformation theory, and the solution approach involves reduction of the governing equations of motion to a system of ordinary equations using Kantorovich procedure and subsequent application of the generalized Galerkin method.
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Spindle dynamics identification using particle swarm optimization

TL;DR: In this paper, a particle swarm optimization technique is described for fitting the spindle-machine measurement using a fixed-free Euler-Bernoulli beam model for each mode.