Reliability Analysis and Fatigue
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Stochastic response surface:
The stochastic response surface (SRS) approach models the performance
function as the sum of elementary functions (bases) of stochastic input
parameters and is particularly useful in computationally intensive
applications. Either Monte Carlo simulation or moment-based methods are
then applied to the SRS for reliability analyses. This research presents
an efficient shape optimization technique that addresses the efficiency/
effectiveness issues based on SRS constructed using local sensitivities
and model outputs at heuristically selected collocation points.
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Tail modeling:
It is generally accepted that using central models (e.g., FORM, response
surfaces) for estimating large percentiles such as those required in
reliability constraint calculations can lead to significant inaccuracies
in the reliability analysis results. In this research, we develop an
approach for the reliability-based design optimization of highly safe
structural systems where a tail model is used for computing the
reliability constraint during design optimization. The tail model is an
adaptation of a powerful result from extreme value theory in statistics
related to the distribution of exceedances. The conditional excess
distribution above a certain threshold is approximated using the
generalized Pareto distribution (GPD). The tail modeling technique is
utilized to approximate the probability of failure in reliability analysis.
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Load tolerance design under fatigue reliability:
In this research, we develop an efficient technique to estimate the load
tolerance, which shows a capacity of the current design, a future
reference for design upgrade, maintenance and control. A reliability-based
load design method is applied in fatigue reliability design, which
provides the load tolerance for a structure subject to the fatigue
failure mode. Go to top
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Sensitivity Analysis Using Meshfree Method
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Nonlinear sensitivity analysis:
Design sensitivity analysis is an essential process in
the gradient-based optimum control technique. In this research activity,
the continuum-based design sensitivity formulation is developed for such
structural problems as linear elasticity, nonlinear elasticity,
elastoplasticity, frictional contact problem, and transient dynamics.
It is shown through various numerical examples that accurate sensitivity
information greatly reduces design optimization cycles and provides fast
convergence. Go to top
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Meshfree method:
Conventional finite element method has been struggled by limitation in the
solution smoothness and mesh distortion in large deformation problems. The
meshfree method is developed to overcome the above-mentioned two issues by
removing elements in domain discretization and adopting global
approximation of field variables. In this research, we develop
linear/nonlinear structural analysis tools using meshfree method. This
development is strongly connected with design optimization.
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Manufacturing Process Simulation and Design
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Die shape design:
Numerical simulation of the manufacturing process is
complicated because the material experiences large deformation as well as
complicated frictional contact with fixtures. In this research activity,
an accurate numerical simulation technology is developed for manufacturing
process analysis. Such technical aspects as large-deformation
elastoplasticity, frictional contact, implicit time integration, and
springback estimation are considered. In addition to the simulation, a
design technology is developed such that the springback is compensated by
changing the die shape design. Go to top
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Chatter vibration control:
In high-speed tooling process, chatter vibration becomes a
bottleneck in increasing manufacturing speed. In order to damp out the
unwanted vibration, several fingers are inserted into the tool, which
looses energy due to the friction between interface. In this research
activity, the optimum configuration of the fingers are investigated,
including number of finger slots and the internal radius of the finger.
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Micro-molding:
In this research activity, we investigate the micro-molding of bulk
amorphous metals to achieve low cost fabrication of complex 3D
components at the micro and meso scales. The behavior of these
materials under high strain rates in the temperature range between the
glass transition temperature and melting temperature is studied. The goal
is to demonstrate that it is possible to mass produce high strength, high
precision, high aspect ratio metallic components, with feature sizes of
microns or less using a relatively inexpensive and uncomplicated process
suitable for wide spread implementation.
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Wear and Tribology
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Wear modeling:
It is desirable to design engineering components for infinite life,
unfortunately, in systems where parts are in intimate contact and
relative motion wear is inevitable such designs are difficult to
realize. Wear predictions are typically made using contact
pressures and slip calculated from the first wear cycle and do not
account for the changes in the geometry during life. The objective is
to identify critical material wear factors in the oscillating
metal-on-metal wear problem, measure these parameters using a simple
and inexpensive reciprocating flat geometry wear test and to use
these measurements coupled with finite element analysis to predict
the wear profile of an experiment with a different wear geometry.
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Micro/nano-indentation and scratch:
Mechanical properties of material in small scales are quite different from
those of bulk materials. Micrometric indentation and scratch is a
convenient way to study the mechanical properties of thin coatings. A
numerical approach that studies the behavior of elasto-plastic thin metal
(aluminum alloys and gold) films is developed. The numerical results are
compared with experimental results with good agreements.
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Modeling and Design
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Open-Ocean-Aquaculture Cage:
The ever increasing demands of the world population on ocean resources
have resulted in severe over-fishing in many parts of the world.
Open-ocean-aquaculture (OOA) is one area that shows great promise to meet
the needs of US markets and reduce the need to import fish from abroad. In
this research, we developed inflatable OOA cage using flexible members.
Lightweight inflatables will greatly decrease the cost of cage
transportation, deployment, assembly, and maintenance. A semi-rigid,
inflatable, tensegrity-structure design, maintains divergence volume,
which is critical for fish health and aquaculture success. The inflated
cage retains the system integrity by using pressurized water instead of air.
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Electrodynamic maglev suspension design:
A maglev system uses magnetic fields to levitate and accelerate a vehicle
along a track. Maglev technology can be applied to launch vehicles and
spacecrafts. Maglev system is composed of a vehicle (cradle) with
permanent magnets and a rail with coils in it. A moving cradle with a
special configuration of high-strength permanent magnets generates passive
magnetic levitation when it moves over multi-loops of wire embedded in the
track underneath. The system is configured so that the resulting magnetic
forces are decomposed into driving forces and lifting forces. The
feasibility of the system as a proof-of-concept model of a new launch
assistant vehicle for space crafts is examined, by identifying the dynamic
characteristics of magnetic-levitation system with computational motion
analysis. Go to top
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Eulerian shape optimization with a fixed grid:
Eulerian shape design uses advantages from both conventional shape design
and topology design. It can remove mesh distortion problem in the
conventional shape optimization and maintain geometric information while
finite elements are fixed. The geometric model is placed over regularly
meshed finite elements. Finite elements that belong inside the geometric
model have a full magnitude of shape density, while those outside the
model have a zero magnitude of shape density (a void).
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Noise, Vibration, and Harshness Design
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Structure-induced noise and vibration control is an
important area of research for reducing the noise level generated by
various structural parts. In this research activity, the finite element
and boundary element methods are used to simulate low-frequency
vibration of a vehicle and noise level in the passenger compartment. By
developing an adjoint design sensitivity formulation, design optimization
of a future commercial vehicle has been achieved in which the noise level
is reduced by 60% compared to the initial design.
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High-frequency vibro-acoustic design:
At high frequency ranges, structural-acoustic simulation
using conventional finite element or boundary element methods is
impractical because of excessive number of elements. an energy finite
element method has been developed by using statistical conservation of
vibration energy. Even if this research is in its early stage, a
feasibility study of controlling power flow using design sensitivity
analysis show promising results. Go to top
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