The Effect of Axisymmetric Initial Imperfections on the Vibrations of Cylindrical Shells under Axial Compression.
TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF AERONAUTICAL ENGINEERING
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The vibrations of a cylindrical shell with an axisymmetric initial imperfection and axial preload are studied. Small asymmetric harmonic vibrations are superposed on the basic static axisymmetric equilibrium and the frequency of these vibrations is evaluated. The analysis is based on the nonlinear equations of shallow shell theory, and follows closely an earlier stability investigation by Koiter. The study is restricted to initial imperfections similar to an axisymmetric buckling mode of a perfect cylindrical shell and represents a first approximation only. Such imperfections exhibit a strong influence on the frequency of the vibrations. The possible implications of this effect are discussed. Author