Simple, Robust Hybrid Test Systems for Non-linear Structural Dynamic Research and Development K.J. Mulligan, J.G. Chase, R.B. Elliott, B. Horn, and G. Danton The Scene • You are designing a new type of structural system, connection or device • You’ve modeled it to death – it looks good! • However, it’s really expensive – You’d hate to get it wrong – And your colleagues are hogging the shake table • How do you maximise results and minimise risk? You Could..... • Rely on even more modelling Or • Do a few full-size or scaled tests ($$$) OR........ Use Hybrid Testing Basic Elements: • Virtual-real real-time interface control • Main structure model that captures all fundamental dynamics • A test rig or actuators to supply the motion required/dictated • Sensors to measure response of sub-structure • A test device and/or sub-structure Why Hybrid? • An intermediate step between models and expensive, time-consuming large-scale tests – Where you often forget to measure something that turns out to be important anyway. • Can potentially run many hybrid tests versus fewer large-scale, especially examining devices • Increases confidence before the next design and test step and allows a chance to iterate designs or models before taking a “bigger leap” • Thus, it improves overall design cycle times Where? How? Processing Loop External inputs Structural model calculations Returned Signals Conversion factors Virtual System Response of substructure measured Test rig implements commands Commands Physical System Real-time interface and data exchange Specifications dSpace™ real-time operating system • 1 to 10 kHz operating rate – much faster than what you are testing • Calculations done in corresponding time step guaranteed • Incorporates virtual-real interface, as well as data gathering and storage Advantages • Easy set up • Readily available and widely accepted systems and equipment • Real-time means no additional calculations required • Highly flexible • More systematic testing = greater certainty in final application Limitations and Solutions • Signal processing lag Returned (measured) signal -3 2.5 displacement (m) use returned signals 3 x 10 2 1.5 Command signal 1 • Optimising sensor resolution and bandwidth 0.5 0 16.6 16.8 17 17.2 time (sec) 17.4 17.6 equipment designed for type of application, transparent control • Efficient model computation trade off between computational complexity and efficiency Rocking Wall case study device being examined is incorporated into a ‘smart’ tendon to control rocking dynamics equation of motion Detailed how it works Physical system test rig Virtual System main structure Displacement command Valve Control sub-structure Measured Force and Displacement Results ground motion motion 2 (m/s ) 2 (m/s ) 2 0 4 theta (rad) ground -2 2 10 0.02 20 25 30 35 40 45 50 0 0 -2 25 -0.02 10 30 35 40 45 15 20 25 30 35 40 45 50 15 20 25 30 35 40 45 50 0.01 0.02 0 (rad) command displacement theta (m) 15 0 -0.01 10 -0.02 returned force (N) 2000 1000 -0.04 25 0 -1000 10 30 15 20 35 time (sec) 25 30 tiem (sec) time (sec) 40 35 40 45 45 50 Conclusions • Simple robust system that is easy to set up • Runs in real time very fast to avoid iterating • Large number of tests can be done quickly to improve confidence • Utilises widely accepted tools and equipment Acknowledgments • EQC Research Foundation Grant #03/497 • All co-authors and contributors