Civil Engineering Reference
In-Depth Information
computed solution after 1 s together with the correct solution to the problem as described by
a rectangular pulse moving with unit velocity in the
-direction. Spurious spatial oscillations
are seen to have been introduced by the numerical solution. Measures to improve the
solutions are beyond the scope of the present treatment (Smith, 1976, 1979). Of course, in
the present case improvements can be achieved by simply reducing the element size in the
y
y
-direction and the time step size
t
.
Glossary of variable names used in Chapter 8
Scalar integers:
cg iters
pcg iteration counter
cg limit
pcg iteration ceiling
fixed freedoms
number of fixed total heads
i
simple counter
simple counter
iel
iwp
SELECTED REAL KIND(15)
simple counter
j
simple counter
k
full bandwidth of non-symmetric matrix
nband
number of contour intervals
nci
ndim
number of dimensions
nels
number of elements
neq
number of degrees of freedom in the mesh
nip
number of integrating points
number of nodes in the mesh
nn
number of nodes per element
nod
output printed every
npri
time steps
npri
number of material properties
nprops
number of different property types
np types
node number at which time history is to be printed
nres
number of time steps required
nstep
time step number at which spatial distribution is to be printed
or contoured
ntime
number of elements in
x(r)
-direction
nxe
number of elements in
y(z)
-direction
nye
Scalar reals:
alpha
α
from equations (3.22)
holds area beneath isochrone by Trapezoid Rule at time
t
at
holds area beneath isochrone by Trapezoid Rule at time
t
=
0
a0
β
from equations (3.22)
beta
pcg convergence tolerance
cg tol
det
determinant of the Jacobian matrix
dtim
calculation time step
.
d6
set to 6
0
.
d12
set to 12
0
