01 January 1970 0 5K Report

When calculating the natural frequency of a beam element and selecting a beam theory as the modeling basis, what factors should be considered?

  • Aspect ratio (length-to-thickness ratio) is definitely a factor to consider.
  • Does the shape of the cross-section need to be considered? For example, for symmetric rectangular sections, various theories are usually applicable. However, for asymmetric or complex cross-sectional shapes (such as circular, elliptical, T-shaped, etc.), is it necessary to consider more accurate theories? Under the same aspect ratio, are the errors between different beam theories also different for different cross-sections?
  • Should boundary conditions also be considered? For example, the range of aspect ratios where Euler-Bernoulli beam theory is applicable may differ from the range for simply supported beams with fixed supports at both ends.
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