Fuzzy finite element analysis of smart structures using concepts of optimization. The major aim of this research is to develop an innovative approach using fuzzy finite element method for the analysis and design of smart control systems for civil engineering structures subjected to vibrations due to earthquakes. The significance of this project is the proposal to combine, for the first time, techniques such as finite element, fuzzy logic and optimization in a unified manner. The final result wil ....Fuzzy finite element analysis of smart structures using concepts of optimization. The major aim of this research is to develop an innovative approach using fuzzy finite element method for the analysis and design of smart control systems for civil engineering structures subjected to vibrations due to earthquakes. The significance of this project is the proposal to combine, for the first time, techniques such as finite element, fuzzy logic and optimization in a unified manner. The final result will produce an efficient design tool for a structural system integrated with smart sensors/actuators for vibration control.Read moreRead less
Investigation of 1/f noise mechanisms in HgCdTe heterostructure IR photodiodes. Since the performance of any photon detector is defined by its signal to noise ratio, the reduction of noise generating mechanisms is equally important to improvement of the signal. In this project we propose to carry out, for the first time, a comprehensive analysis of noise generating mechanisms in HgCdTe detectors using recently developed, two-dimensional analysis procedure. The main objective of this project is t ....Investigation of 1/f noise mechanisms in HgCdTe heterostructure IR photodiodes. Since the performance of any photon detector is defined by its signal to noise ratio, the reduction of noise generating mechanisms is equally important to improvement of the signal. In this project we propose to carry out, for the first time, a comprehensive analysis of noise generating mechanisms in HgCdTe detectors using recently developed, two-dimensional analysis procedure. The main objective of this project is to prove that 1/f noise in HgCdTe photodetectors is caused by dark current fluctuations in the high electric field regions of the detector structure. The primary outcome of this work will be the first comprehensive two-dimensional device model that can predict 1/f noise in a semiconductor device.Read moreRead less
Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for e ....Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for engineers. The safety assessment of aged concrete dams can be done rationally by the proposed method which will provide a better knowledge of the ageing effects on concrete dams. The approach will provide a tool for rational decision-making as to the structural rehabilitation of large concrete dams affected by ageing degradation.Read moreRead less
The Influence of Fracture Network Topology on Fluid Flow in the Subsurface. This project focuses on developing methods for the simulation of fluid flow in fractured rock aquifers. Given the large computational requirements involved in modelling discretely fractured rock masses, scaling approaches are required to allow for simulation at field scales. The sensitivity of the scaling to the parameters describing the fracture network will be investigated. It is anticipated that the scaled function ....The Influence of Fracture Network Topology on Fluid Flow in the Subsurface. This project focuses on developing methods for the simulation of fluid flow in fractured rock aquifers. Given the large computational requirements involved in modelling discretely fractured rock masses, scaling approaches are required to allow for simulation at field scales. The sensitivity of the scaling to the parameters describing the fracture network will be investigated. It is anticipated that the scaled functional relationships will be quite network specific, and that the identification of the controls on the form of the scaling relationships will allow for the focussing of data acquisition to the most salient information, and will reduce the costs involved.Read moreRead less
Interaction of Local and Distortional Buckling in Thin-Walled High Strength Steel Sections. Recent research at the University of Sydney has shown that the local and distortional buckling modes in thin-walled high strength steel sections may have adverse interaction. Cold-Formed steel sections of this type are used in residential construction, ceiling systems, partitioning systems in offices and other light gauge applications. The project will develop mathematical models of the interaction beha ....Interaction of Local and Distortional Buckling in Thin-Walled High Strength Steel Sections. Recent research at the University of Sydney has shown that the local and distortional buckling modes in thin-walled high strength steel sections may have adverse interaction. Cold-Formed steel sections of this type are used in residential construction, ceiling systems, partitioning systems in offices and other light gauge applications. The project will develop mathematical models of the interaction behaviour of sections of this type for a wide range of section geometries. A major outcome will be design methods which accurately quantify the interaction behaviour based on the models. Testing will be undertaken to support the theoretical developments and to calibrate the design models.Read moreRead less
Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and fro ....Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and from smooth actions of Lie groups on manifolds, where powerful geometric methods are available. The project will yield new understandings of entropy, and new approaches to Fourier analysis.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that e ....Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that edge in a number of key disciplines, so we can continue to participate in global technological advance. The project has an international focus which will enable that to happen. It will also provide training for the next generation of mathematicians. Read moreRead less
Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model sy ....Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model systems and to study their evolution, giving us better predictive power. It will keep Australia in the forefront of international research, providing a basis of expertise not otherwise available to Australian researchers and industry. Read moreRead less
Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.