Nonlinear dynamics of cable nets
What you'll learn
- The basic concepts of nonlinear dynamics of cable structures
- Identify similarities and differences between linear and nonlinear systems
- Explore the connection between the linearized eigenfrequencies and the nonlinear dynamic response
- Detect nonlinear resonant phenomena
Requirements
- Good knowledge of structural dynamics
Description
From the ship sails to the suspension bridges, tensile structures have conquered the field of structural engineering, triggering also the interest of architects with their lightness and elegancy. Prestressed membranes or cable roofs, air-supported, inflated or tensegrity structures, suspension or cable-stayed bridges, antennae or guyed masts, sea-based applications, smaller structures such as snow avalanche nets, rock fall barriers, cranes, sailboats, mooring lines, trawl lines and nets, floating or submerged breakwaters, aerostats, or even simpler creations, such as the umbrellas or the rope we use to dry the laundry, belong to the family of tensile structures.
They consist of members that operate in pure tension. Their final shape depends on the loads and the initial pretension. They present large deformations with respect to the unloaded geometry, which influences also their stiffness. The analysis of such structures should be nonlinear for each load combination, considering large deformations, while the principle of superposition does not apply.
Cable nets, forming the surface of a hyperbolic paraboloid belong to this family of tensile structures. They have the capacity to cover large spans without intermediate supports and to carry loads much heavier than their own weight. They are attractive solutions for covering hangars, stadia, swimming pools, ice rinks, exhibition halls, theatres, concert halls, churches and other long-span areas.
This is an advanced course in dynamics, which requires a good knowledge of the theory of linear dynamics of structures. It constitutes a window to the extraordinary world of cable nonlinear dynamics. Although engineers are familiar with the science of linear dynamics, the nonlinear dynamic behaviour of tensile structures hides several new and different resonant phenomena, difficult to be detected. Let us discover them together.
Who this course is for:
- This course is prepared for engineers who would like to learn about nonlinear dynamics of structural systems and especially how we detect the maximum response under fundamental or secondary resonant conditions
Instructor
My name is Isabella Vasilopoulou and I am a Civil Engineer with extensive professional background and experience in the field of the analysis and design of structures. During my professional career, emphasis has been placed on infrastructure projects, mainly focusing on the design of bridges in seismic regions, even under adverse soil conditions, such as landslides or liquefiable soil. For several years I have been working as Head of the Structural Department ODOTECHNIKI Ltd, located in Athens, Greece, having the overall responsibility for the design and management of the projects, training, guiding and supervising engineers and CAD technicians.
I also have a PhD in the field of Nonlinear Dynamics of cable nets. My research activity focuses on Nonlinear dynamic response and design of cable nets subjected to dynamic loads, such as the wind, considering geometrical non-linearities and investigating nonlinear resonant phenomena.
During my PhD candidacy, I participated in the preparation of class notes and teaching of the compulsory courses "Steel structures I" and "Steel structures II" at the School of Civil Engineering of the National Technical University of Athens. Until today, I continue to participate in the teaching of the postgraduate course "Design of cable and membrane structures" at the same School of Civil Engineering.
I will never forget how difficult my first steps were in the Civil Engineering profession, when all I knew based on my studies never seemed enough. I will always be grateful to my mentors for showing me the way to think as an engineer and become the engineer that I am. Perhaps this is the reason of my passion to pass on my knowledge to young engineers, students or colleagues, mentor them, share my experience with them, see them become independent and brilliant engineers and feel proud of them.