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
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
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
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.
Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with inter ....Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with international researchers and engineering scientists. This is important for the advance of science and technology in
Australia.Read moreRead less
Reliability and design of 3D printed metal structures. The project will produce a design framework for additively manufactured (3D printed) metal structures. The project will develop open source algorithms for predicting (i) mechanical properties of 3D printed metals for given printing parameters and (ii) internal stresses and distortions arising from the printing process. Underpinned by experiments on structural components and structural reliability analyses, models will be calibrated for the n ....Reliability and design of 3D printed metal structures. The project will produce a design framework for additively manufactured (3D printed) metal structures. The project will develop open source algorithms for predicting (i) mechanical properties of 3D printed metals for given printing parameters and (ii) internal stresses and distortions arising from the printing process. Underpinned by experiments on structural components and structural reliability analyses, models will be calibrated for the nonlinear analysis of 3D printed structures, and a methodology will be set out for designing 3D printed metal structures with acceptably low probability of failure. The project will enable structural engineers to safely and efficiently design 3D printed metal structures and components.Read moreRead less
Complete limit state analysis of steel structural framework. This project aims to produce a design-by-analysis method for steel frameworks that explicitly models the complete set of failure modes including fracture of connections. The project will develop models that can accurately predict the fracture behaviour of welded and bolted connections, and system reliability calibrations that account for random variations in the parameters controlling the strength of steel frameworks including fracture ....Complete limit state analysis of steel structural framework. This project aims to produce a design-by-analysis method for steel frameworks that explicitly models the complete set of failure modes including fracture of connections. The project will develop models that can accurately predict the fracture behaviour of welded and bolted connections, and system reliability calibrations that account for random variations in the parameters controlling the strength of steel frameworks including fracture. The outcomes of this project will advance the design of steel structures, as it will become possible to analyse any type of structure for any type of failure including fracture. The design method will enable Australian structural engineers to enhance their competitive edge internationally, and maintain their preeminent record of producing innovative structural solutions.Read moreRead less