A simplified method for incorporating gravitational effects into the analysis of structural vibrations, and for determining the relative importance of those effects, has been developed. The nonlinear effect has been simplified by incorporating only the first-order gravitational effects into the structural stiffness formulation, and demonstrating through both analysis and experiment that the first-order stiffness additions are sufficient to accurately characterize the gravitational effects in most cases. The simplified formulation also provides a convenient method for determining the conditions under which the effects of gravity should be considered.

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