Paul Slysh
President
PS Associates
San Diego, Calif.
Anyone designing high-performance cylindrical
and conical-shell structures invariably
wants to balance strength and
low weight, along with several other
characteristics including lowest-cost
manufacturing. FEA and CAD software
provide one way to shape complex forms,
but these general-purpose programs work
best when applied to a wider variety engineered
structures and tasks.
Often hard-to-implement analysis methods may
provide some assistance designing the cylindrical and
conical shell structures traditionally found in aerospace
products, such as rockets and launch vehicles.
But these methods may not work equally well, if at all,
designing structures that could be, for example, load carrying
vacuum vessels or any thin-wall structure.
Software for shell structures
One particular program, Shell Structures Tools
(SST), has been in development 40 years and addresses
the lightweight, high-strength requirements,
and more. Its start menu makes it easy to type in design
requirements, and results are easy to understand
and use in a format similar to Web pages. The software
unifies design, manufacturing, and analysis based on
classical, empirical, and FEA methods. It comprehensively
and quickly produces a design along with
production plans for the structure.
Shell structures designed by the software can be
isogrid, waffle, monocoque, sandwich, honeycomb, or ring or stringer-rib stiffened. Several variations of
those are possible. For example, sandwich structures
can have fluted cores, honeycomb can have proprietary
Hexcel cores, ribs can be stiffened with flanges
and various skin-and-stringers can be used for shell
stiffening.
When designing each structure, the software calls
upon particular empirical, classical, and finite-element
methods to size, analyze, and optimize about 11 characteristics
the structures commonly need. This brief
introduction to the software gives an idea of what designers
would provide and what the software returns.
The Start Menu box outlines typical inputs needed
to design and analyze a shell. The inputs for about 10
categories typically include the shell geometry such as
the large and small ID for a cone, and a length. If the
shell includes cutouts such as round portholes, designers
supply porthole diameters and locations, and
whether or not the structure will include load-bearing
doors (a yes or no selection). Local loads can be applied
to the shell several ways such as, normal loads
and bending moments.
Users select the construction material, which can
include metals, composites, and their adhesives.
Depending on the material, designers may have to
supply material properties at temperature. For a
complete list of the input criteria see http://www.machinedesign.com/md/images/SST-START-MENU-MD1.xls.
The software lops time off design work several
ways. For instance, its unformatted inputs means users
need not supply a CAD model. The dimensions
typed into the Start Menu, actually an Excel spreadsheet,
give enough information to get things started.
Users are also asked to supply edge conditions, external
loads, needed safety factors, structural configurations,
identify critical-failure modes, modal-response
requirements, construction methods, requirements
for trade-offs, and tolerances for manufacturing and
structural analysis.
Using runtime files, the software generates a best
design and presents results in a Web site. Results are
globally modified so users might, for example, adjust
the manufacturing tolerances once and the software
finds all calculations that use them before recalculating.
The design is complete and comprehensive for the
supplied loads the first time SST produces an output.
It is not difficult to run the software but it is preferable
that my firm return to clients results to the
spreadsheet Start Menu submitted by clients. Hence, the first turn-around may take a day or two. But after
the program generates runtime files, iterations on the
original design can be a matter of minutes.
Outputs
The software generates a wide range of useful information.
For example, users might first evaluate a
rendered CAD model of the calculated design. Then,
a measure of high-cycle fatigue strength assesses how
a structure will withstand exposure to high-frequency vibrations during intended
use, such as afterburners
on a jet engine.
A damage-tolerance figure
indicates how rapidly
a crack might propagate
in a particular structure.
And a manufacturing
cost indicator tells which
of two or more competing
designs would be less
expensive to produce.
Outputs also include
appropriate selections
based on loading and design
criteria. The software
also produces factors for
stability and stress, along
with cross section and
mass properties.
Other results include
detailed geometry, body
stiffness, material and
flat-pattern properties,
DXF file for the flat-pattern,
and selected margin
summaries. Sample outputs
shows just one table
of many. All these are
generated from a single
set of inputs.
For a closer look at
the outputs, consider the
margins and trades summaries.
They tell more
about a proposed design. The Table of margins organizes
the actual and critical stresses for several engineering
characteristics. For example, a stress margin is a function of the ratio of allowable stress to actual stress divided by a user selected safety factor:
M = [(Sa/Sc)/ fs] -1
where M = margin value, Sa = allowable stress, a fixed
material property; Sc = calculated stress, from SST;
and fs = factor of safety, a value greater than 1. Super
Traces show the methods implemented that defend
results and are provided for all margin calculations.
The Start Menu lets users supply allowable ultimate
and limit stresses as well as safety factors for various
failure modes. Twelve different margins can be selected
as sizing criteria.
Fine-tuning a design usually calls for many engineering
decisions. The trades or trade-off graphs can
guide those. Critical tolerances can also be selected,
or based on software defaults for computing the indicated
margins and associated stresses. The other
outputs also update with each input-menu change.
Digging deeper in the results shows design definitions,
flat patterns, dimensioned rib cross sections, and mass properties at tolerance. Additional tables
include SP8007 analysis, (a NASA-developed evaluation
for aerospace structures), modal response, and
internal line loads on structure elements for each
external load case.
For manufacturing, the software generates NC
toolpaths for constant chip-load machining. The software
also shows how to make bolted flanges, bosses,
and mounting devices that are part of these structures.
And some users have said the software lets them master
the art of producing metallic isogrid, waffle, and
skin stringer structures.
Additional manufacturing output predicts the minimum
cold-forming radii of isogrid and waffle structures.
The predictions are for isogrid or waffle pockets
filled, or not, with a hard elastomer that prevents skin
buckling during forming. These predictions are based
on manufacturing tolerances and minimum allowable
gauges. The predictions for postmachine forming
enter the design, sizing, and optimization calculations
where their effects on structural performance and
weight are taken into account.
Guidelines for trade-offs
The trade or trade-off table is one of many SST outputs.
For the selected fixed parameters in the heading,
the software generates a trade graph for plate
thickness in the abscissa and number of longitudinal
ribs in the field. In this case the parameters selected
for trading are minimum-margin value (in the right
ordinate) with unit-area weight (in
the left ordinate). The dark line (top
right) shows a locus of optimum results.
Software results might indicate
a plate thickness greater than what
might be available at reasonable cost.
The designer could want to know
what increase in weight, or decrease
in effective margin, or both would
result from the use of a thinner plate
that might be more readily available.
The designer may or may not find
the off-optimum results acceptable.
Sometimes, minimum-allowable
gauges, flange widths, material types,
and tolerances can enter design decisions
the same way, and may require
revised design approaches.
|
Cone sweet cone
An unusual application for a shell structure came from a NASA request for
ideas on how to protect space travelers from small meteors and radiation. SST
let PS Associates propose a series of conic isogrid structures that could provide
lightweight housing and
protection needed by the
agency’s SBIR (Small business
innovative research)
X6.01 (tinyurl.com/4du2s3).
The habitat concept uses
inner and outer conical
structures with isogrids for
light weight and strength.
The cones would be nested
for transport into space and
there bolted together into a
tunnellike volume. The outer
structure (larger cones) and
a thermal layer (not shown)
protect against meteorites
and space debris. The inner
structure would use O-rings
at flanged joints for airtight
seals. |
Thinking outside the shell
SST software can be
applied to more than
curved-shell structures.
For example,
bolting or welding
plates together allows
building structures for
other functions, such
as howitzer mounts
and hospital beds.
|