Free extensional vibrations in plate strips

✍ Scribed by G.L. Anderson

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 652 KB
• Volume: 11
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(70)80035-9

✦ Synopsis

The Kane-Mindlin equations for the extensional motion of an isotropic elastic plate are solved and the frequency spectrum of an infinite plate strip is investigated for three types of boundary conditions: (i) both edges of the strip are free of traction; (ii) both edges are clamped; and (iii) one edge is free and the other is clamped. The resulting transcendental frequency equations corresponding to these boundary conditions must be solved numerically with a digital computer. The frequency spectra obtained from the Kane-Mindlin theory are compared with the corresponding curves as derived from the theory of generalized plane stress. The orthogonality condition appropriate for the above-mentioned three sets of boundary conditions is also derived.