Lawrence Berkeley National Laboratory
Recent Work
Title
IMPROVED NUMERICAL DISSIPATION FOR TIME INTEGRATION ALGORITHMS IN STRUCTURAL
DYNAMICS
Permalink
https://escholarship.org/uc/item/18z548gt
Author
Hilber, Hans M.
Publication Date
1976-04-01
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Submitted
to
Earthquake
Engineering
and
Structural
Dynamics
LBL-4486
Preprint
C.
IMPROVED
NUMERICAL
DISSIPATION
FOR
TIME
INTEGRATION
ALGORITHMS
IN
STRUCTURAL
DYNAMICS
Hans
M.
Hilber,
Thomas
J.
R.
Hughes,
and
Robert
L.
Taylor
April
1976
Prepared
for
the
U.
S.
Energy
Research
and
Development
Administration
under
Contract
W
-7405-ENG
-48
For
Reference
Not
to
be taken from this
.room
DISCLAIMER
This document was prepared
as
an account
of
work sponsored
by
the United States
Government. While this document is believed to contain correct information, neither the
United States Government nor any agency thereof, nor the Regents
of
the University of
California, nor any
of
their employees, makes any warranty, express or implied, or
assumes any legal responsibility for the accuracy, completeness, or usefulness
of
any
information, apparatus, product, or process disclosed, or represents that its use would not
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by
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necessarily constitute or imply its endorsement, recommendation, or favoring by the
United
States Government or any agency thereof, or the Regents
of
the University
of
Califomia. The views and opinions
of
authors expressed herein do not necessarily state or
reflect those
of
the United States Government or any agency thereof or the Regents
of
the
University
of
California.
(
*
0 0
0
IMPROVED
NUMERICAL
DISSIPATION
FOR
TIME
INTEGRATION
. *
ALGORITHMS
IN
STRUCTURAL
DYNAMICS
Hans
M.
Hilber
Thomas
J.
R.
Hughes
Robert
L.
Taylor
Division
of
Structural
Engineering
and
Structural
Mechanics
Department
of
Civil
Engineering
and
Lawrence
Berkeley
Laboratory
University
of
California
Berkeley,
California
94720
April
1976
This
work
was
supported
in
part
by
the
U.
S.
Energy
Research
and
Development
Administration
•
o
o·
u o
~
4 o
ABSTRACT
A new
family
of
unconditionally
stable
one-step
methods
for
the
direct
integration
of
the
equations
of
structural
dynamics
is
introduced
and
is
shown
to
possess
improved
algorithmic
damping
properties
which
can
be
continuously
controlled.
The new
methods
are
compared
with
members
of
the
Newmark
family,
and
the
Houbolt.
and
Wilson
methods.
i.
