Buckling and Vibration Analysis of a Simply Supported Column with a Piecewise Constant Cross SectionNASA, 1991 - 13 pages |
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2.0 Uniform column approximately 0.7 axial load bending stiffness ratios boundary conditions Buckling and Vibration center section characteristic polynomial circular cross section Column Vibration column with piecewise compressive load constant cross section cube root dotted-line curves effect of axial equa equation 37 Figure flexural stiffness fundamental vibration frequency governing equations high-efficiency method increasing the bending jth section Langley Research Center length ratio load and vibration mass and bending mass is proportional mass per unit mass savings mass versus normalized method for increasing moment of inertia NASA natural vibration nondimensionalized set Normalized buckling load Normalized mass normalized vibration frequency Numerical Examples numerical solution optimum ratio Parametric structural efficiency piecewise constant cross presented in reference presents plots Research Center Hampton secant method set of governing Simply Supported Column solved to determine stiffness and mass stiffness are considered structural efficiency analyses thin-walled circular cross unit length vibration characteristics