0
  • DE
  • EN
  • FR
  • International Database and Gallery of Structures

Advertisement

Accurate Frequencies and Mode Shapes for Moderately Thick, Cantilevered, Skew Plates

Author(s):


Medium: journal article
Language(s): English
Published in: International Journal of Structural Stability and Dynamics, , n. 3, v. 7
Page(s): 425-440
DOI: 10.1142/s0219455407002356
Abstract:

Accurate free vibration frequencies and mode shapes are presented for complete sets of moderately thick, cantilevered skew plates of triangular, trapezoidal and parallelogram shape. These accurate results are obtained by using the Ritz method applied to the Mindlin plate theory. Two sets of functions are employed simultaneously for each of the three dependent variables: transverse displacement (w) and bending rotations (ϕxand ϕy). One set is the widely used algebraic polynomials. The other is the set of corner functions which provide the proper stress singularities in the reentrant clamped-free corner, and accelerates the convergence of the solutions. The extensive frequencies presented are exact to the four digits shown. Corresponding mode shapes are also shown, by means of nodal patterns, most of which are novel in the published literature.

Structurae cannot make the full text of this publication available at this time. The full text can be accessed through the publisher via the DOI: 10.1142/s0219455407002356.
  • About this
    data sheet
  • Reference-ID
    10353151
  • Published on:
    14/08/2019
  • Last updated on:
    14/08/2019
 
Structurae cooperates with
International Association for Bridge and Structural Engineering (IABSE)
e-mosty Magazine
e-BrIM Magazine