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  <dc:title>The supplementary material for &amp;quot;VIBRATION ANALYSIS OF BEAM WITH COMPLEX CROSS-SECTION BASED ON ASYMPTOTIC ANALYSIS METHOD&amp;quot;</dc:title>
  <dc:identifier>doi:10.57760/sciencedb.j00140.00031</dc:identifier>
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  <dc:description>The supplementary formulas in the derivation process of the one-dimensional beam model and the calculation data of the slender beams with different cross-sections.</dc:description>
  <dc:subject>Slender Beam; Supplementary Formulas; Example Data;  Complex Cross-sections</dc:subject>
  <dc:creator>Song Ziwen</dc:creator>
  <dc:creator>Sun Zhi</dc:creator>
  <dc:creator>Zhu Yichao</dc:creator>
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