Department of Mathematics and Statistics,
Arizona State University
Thursday,
March 21, 2002, 12:15 p.m. in GWC Room 604
Department of Mathematics and Statistics
On the derivation and simulation of a model of double suspension roofs
Abstract
This talk describes the work started as a class project in a
differential equations
course (MAT275) on the mathematical desciption and simulation of a model
of
double suspension roof presented in [1]. We review Lagrangian principles
for
deriving the equations of motion and make a clear algebraic connection
with
other principles, such as the Gibbs-Appell equations and Kane's
approach,
used in the mechanical engineering literature.
In particular we give a corrected version of the system obtained in [1].
The static
equilibria are numerically determined as a function of the load factor
using a
continuation procedure. The dynamic solution are obtained using a
standard
Matlab adaptive routine. Numerical results confirm the static equilibria
obtained
in [1] but give a somewhat different dynamic picture.
This is joined work with R. Heap, S. Shephard, and J. Sherwood
[1] D. S. Sophianopoulos & G. T. Michaltsos,
"Nonlinear stability of a simplified model for the simulation
of double suspension roofs",
Engineering Structures 23 (2001) 705-714.
For further information please contact:
mittelmann@asu.edu