A Continuum Approach Toward Dynamics of Gridworks

[+] Author and Article Information
C. T. Sun, T. Y. Yang

School of Aeronautics, Astronautics, and Engineering Sciences, Purdue University, Lafayette, Ind.

J. Appl. Mech 40(1), 186-192 (Mar 01, 1973) (7 pages) doi:10.1115/1.3422922 History: Received July 01, 1971; Revised November 01, 1971; Online July 12, 2010


A two-dimensional continuum model with couple stress is established for a gridwork which consists of orthogonally intersecting beams rigidly connected at the joints. Equations of motion, boundary conditions, and the constitutive equations are derived, which can be employed to analyze the dynamic as well as static responses of the gridwork. Transverse vibrations and wave propagation are, in particular, investigated by the continuum theory. For the sake of comparison, the finite-element method is employed to calculate the frequencies for several specific gridworks. It is found that the results obtained from the continuum theory agree very well with the finite-element solutions, particularly in the range of long wavelengths.

Copyright © 1973 by ASME
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