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| Scope of Analysis Services |
| To a large extent, the scope of
engineering analysis services offered by CREA Consultants (CREA)
is limited only by the limits of our main analysis suite ANSYS. The scope of supply
is extended however by other programs such as USFOS, NASTRAN,
FLUSH and our macro programming and our
programming services. The
following sections identify some of the areas of analysis expertise, the sections are
specific in nature, but they are often intermixed, for instance transient and non-linear
analysis. The following sections are intended to give an indication of available
activities.
ANSYS also has an adaptive meshing
capability for obtaining high quality meshes. The technique can be applied to most of it's
element library, both structural and thermal. In addition to its structural and thermal
capability, the program contains the Computational Fluid Dynamics program FLOTRAN, a
magneto-statics capability and the highly non-linear analysis program DYNA-3D. These
additional features are provided as an integral part of the overall program and are
tightly bound to the thermal/structural program, either directly or through the use of the
macro language.
| Linear Elastic Analysis |
Static, Mode Extraction, Modal Response,
Transient (Time History) |
| Non-Linear Analysis |
Static, Modal Response (using non-linear
spectra), Transient (Time History), Large Displacement, Plasticity |
| Dynamic Analysis |
Mode Extraction, Modal Response (linear and
non-linear spectra), Transient (Time History), Impact, Blast Response, Wave Loading, Wind
Loading |
| Solid Modelling |
Castings, Concrete, Plate, Forgings, Vessels |
| Contact Analysis |
Gaps (Compression only), Hooks (Tension only),
Contacting Surfaces, Impact, Rolling Loads, Friction, Lack of Fit |
| Design Optimisation |
Cost Reduction, Material Saving, Tuning,
De-tuning, Design Sampling & Comparisons, Parametric Modelling |
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| Elastic
Analysis |
| Still the most commonly executed type
of analysis, as most engineering products are designed to work in the elastic range.
Elastic analysis can be applied to static and/or dynamic loading. There are non-linear
elastic analyses, where the material remains elastic but the response is non-linear, for
instance large displacement, or where the loading is non-linear. The analysis can be carried out on beam, plate/shell, cable/struts,
solids and contact elements.
In addition to structural analysis, thermal
analysis falls into the "elastic" regime. |
| Frequency Domain Analysis (Dynamic) |
| The scope of frequency domain
analysis available is extensive. The program will extract the modes of a structure or
component using several different techniques. Using different mode extraction techniques
allows the checking of results, especially if close modes are detected. The analysis can
be reduced by the application of the Guyan Reduction technique. The technique involves
reducing the larger model to a series of retained degrees of freedom, a method which
allows the analysis to ignore specific frequency bands. Typically one would exclude either
high or low frequencies from the analysis depending upon the structure or loading. The results from the mode extraction, mode frequencies and mode
shapes can then be used for further response analysis by the application of response
spectra. Typically, force, displacement, velocity, acceleration and power spectral density
spectra can be used. Mode frequency and spectral analysis is commonly used for seismic,
wind and wave loading. The input spectra can also be the so called non-linear spectra to
mimic non-linear response of the structure.
Frequency analysis will identify likely
interactions between components and between attached vibration sources and the structure.
Frequency analysis can therefore be used to tune or de-tune structures, especially when
combined with design optimisation techniques.
Under most circumstances CREA would
carry out a mode extraction analysis on models prior to their use in transient
analysis. Knowledge of the response frequencies of a model helps to define the
transient model, in particular, it will identify the required meshing densities. |
| Time Domain Analysis (Dynamic) |
| Time domain or transient analysis is
arguably the most complete part of the ANSYS program. Working in the time domain,
the program will take account of mass, damping and stiffness in the general equation of
motion. The analysis will predict time lag between loading and response (dependent upon
the quality of the modelling), attenuation or amplification. Taken in conjunction with
non-linear options, quite complex engineering phenomena can be modelled. The controlling
aspects of the model are the integration time step, ANSYS uses direct integration
and element sizing. Analyses carried out by CREA engineers have detected frequency
responses in a structure due to internal shear wave reflection. The shear waves were
generated from a shock loading situation, the sticking and slipping of an oil exploration
drill bit. A non-linear analysis can
exploit varying integration time steps, which when used with predictive algorithms allows
efficient analysis between non-linear events. With damping being an element property,
variation in damping throughout a structure can be modelled, this allows modelling of
vibration isolation features such as rubber shock absorbers.
As with mode frequency analysis
there is a reduced analysis option which uses the Guyan Reduction technique to reduce the
model to retained degrees of freedom and a constant integration time step. This is an
efficient solution technique for structures which remain elastic, as is the case with most
structures. Options in the solution module allow for gaps. As with the full transient
scheme damping is an element property which can be varied at will. Using a reduced model,
the solution times are relatively short.
Response spectra can be generated from all
transient analyses allowing the modelling of attached structures and equipment by modal response techniques, in addition to transient analysis. |
| Non-Linear Analysis (Static and Dynamic) |
Non-linear analysis covers many
different aspects of engineering design and performance. The following table indicates
some non-linear analysis techniques and some typical applications.
| Material Non-Linearity |
Elasto-plastic response, creep, swelling,
temperature dependent variations |
| Geometric Non-Linearity |
Large displacements, P-Delta effects, Snap
through |
| Gaps, Contact and Surface Interference |
Impact, Moving loads, Friction, Slipping,
Sticking, Surface contact |
| Cables and Chains |
Guy ropes, Anchor chains, Pipelines, Cable
Laying, Umbilicals |
| Non-Linear Loading |
Not a true non-linearity as the structural
response can be elastic |
| Non-Linear Systems |
Displacement controlled stiffness and damping,
Fusible links, Ageing |
All of these non-linearities can be assessed under dynamic and static loading conditions
as dictated by the product being analysed.
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| Contact Analysis (Static and Dynamic) |
| Contact analysis enables many common
engineering conditions to be monitored, some more successfully than others. There are many
situations where contact analysis is valid, and in many of these it is a practical
solution. The following is a partial list of common situations, the practicality of use is
dependent upon the rest of the model and the structure being analysed. Bearing on deforming material
Foundation and base plate uplift
Impacting bodies
Rolling loads
Stick, slip, sliding, friction
Modelling clearances between components
Modelling lack of fit
Modelling "rattling" in component
interfaces
Modelling travel stops and travel limiters
Modelling displacement dependent loads
Contact is not always the best solution to the
problem as it can be difficult to achieve convergence or the solution can become
unnecessarily time consuming. |
| Solid Modelling (Static and Dynamic) |
| The majority of Finite Element
analysis is carried out on "centre line" models using beam and shell elements.
This is for speed of solution and the fact that most of the design codes of practice are
still based on centre line and elastic analysis, therefore, adding complexity may not add
to the quality of the answer. There are cases where "through the thickness"
modelling is important, and it is here that solid modelling is used. "It cannot
be stressed enough that whilst complex analyses can lead to elegant solutions, they are
not necessarily cost effective in terms of design cost and production cost
advantage". Solid
modelling is used to model the effects of loads through the thickness of materials, where
these effects are significant, and where the design rules allow. In many cases, to use
through the thickness results effectively, it is necessary to work outside the limits of
design codes, as these are more often than not based upon centre line analysis. It will be
necessary to relate the solid model results to the code of practice by various means.
An example would be through the thickness shear
stress. The design code may well give a limiting stress which is based upon the average
shear through the material, i.e. Force/Area. The solid model will give a shear
distribution through the material, therefore, it will be necessary to average the stresses
for code checking AS WELL AS comparing the maximum Von Meses stress to yield allowables.
Solid modelling techniques will allow the
investigation of surface effects, such as local yield in contact problems,
indentation and local deformation. Solid modelling is also an ideal tool for casting
design as it can model features such as: complex shapes, fillets, variation in thickness
due to the requirement to release moulds and complex load paths. The results will show the
stress distribution under all expected loading conditions, and will enable consideration
of re- design to increase the usage of material. CREA have experience of casting design
in the Offshore Oil and Gas industry.
Solid modelling also allows the analysis of
non-isotropic materials, such as laminates (there are very effective laminate shell
elements which should be considered first), soil, rock and concrete. With care, these
different modelling techniques can be combined, and can also be combined with centre line
models.
The ANSYS solid modeller is a fully featured
Boolean modeller with the basic capability of many of the leading stand alone products. |
| Design Optimisation (Static and Dynamic) |
| The design optimisation features of ANSYS
allow the analyst and designer to carry out investigations of the product to determine
target designs. There are several ways of using the tools, control can be passed entirely
to the program, maintained fully by the analyst, or a combination of both. CREA tend
to favour the latter two methods. In
design optimisation, a target is set: this can be minimising cost or material, for cost
optimisation, it is necessary to be able to define a relationship between the model and
the cost of production. This relationship can be complex, as it will be calculated through
the ANSYS parametric programming language. The function can include factors for
manufacture complexity, material cost variations, for instance different grades of
material, different testing, etc. The optimisation could be to minimise deflection, to
avoid interactions, i.e. de-tune or tune a structure, minimise a certain stress, etc. A
maximum as a target can be achieved by inverting the target.
The design is validated by design constraints,
these are classified as design constraints, dimensions, materials, etc. and limiting
states, stress, deflection, frequency, etc. Given the model and the constraints, the
optimiser will then proceed to find "an optimum" design. The design is
considered as "an optimum" since the program tends towards the first
minimum point that it finds in the optimisation process. The optimisation region is
defined by initial analyst defined design conditions and/or program randomly selected
conditions. This is where analyst intervention can be essential if it is evident that
there are better optimums than the one the program has found.
The design optimisation technique is also an ideal
tool for "what if" analysis as it will automatically track given features
of the model. A parametric model would be created which would then be run in the
optimiser, totally under analyst control, but varying key design parameters. Analysis
results can then be graphed against design parameters to study the influence of design
change.
Design optimisation can be carried out using most
of the analysis modules of ANSYS, either singly or in combination, however, notice
has to be taken of the size of the model as design optimisation is necessarily iterative
on the whole solution, including pre and post processing. |
| Sub Modelling and Sub Structuring (Static and Dynamic) |
| In terms of ANSYS, sub
modelling and sub structuring are two different analysis techniques. Sub Modelling
The sub modelling technique allows the refinement
of an existing analysis model. For instance, in modelling a casting the results of a
"coarse" model may well show a stress hot spot. Sub modelling allows a refined
sub model of a part of the structure to be taken and re-analysed. Pre processors in the ANSYS
suite will extract and interpolate displacement fields to generate the sub model. The
program will also allow a solid model to be generated as a sub model of a shell model. The
only constraint is that the solution should be elastic at the boundary, and that any
non-linear response within the sub model does not influence the cut boundary.
Sub Structuring
The sub structuring technique involves the
generation of so called "super elements", which are FE models of parts of
the overall structure. This technology allows a model which is largely elastic, but which
has a non-linear region to be solved more efficiently. The elastic regions would be
generated as super elements, then attached to general elements for the non-linear region.
The program then solves the elastic parts once, and only iterates on non-linear portion.
Sub structuring can be used for all manner of mixed analysis, especially where run times
are expected to be significant. |
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© CREA Consultants Ltd,
High Peak, UK Last Updated 05 Jan 2002
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