Measurement of Displacement Gradient Tensor13

Measurement of Displacement Gradient Tensor13 - 12.005...

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12.005 Lecture Notes 13 Measurement of Displacement Gradient Tensor Techniques of measurement of displacement gradient tensor: • Leveling • Triangulation • Trilateration • Very Long Baseline Interferometry (VLBI) • Global Positioning System (GPS) Figure 13.1 Benchmark Benchmark Corner Cubes Quaser Laser l 1 l 2 2 l i = c Δ t i Δ x= c Δ t Protractor Telescope θ Telescope (level) Leveling Triangulation Trilateration VLBI GPS (Global Positioning System) Figure by MIT OCW.
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Sensitivity: technique angle distance height orientation leveling Yes triangulation Yes trilateration Yes Yes VLBI Yes Yes GPS Yes Yes Consider plane strain and a four-benchmark network ε 33 0 () x 2 x 1 Consider the following strain tensors: Case 1. 00 0 0 000 Case 2. 0 0 Yes Yes Yes Yes
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Case 3. 0 ε 0 00 000 Case 4. 2 Can they be observed using triangulation?
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This note was uploaded on 10/25/2010 for the course MIT Geodynamic taught by Professor Ywn during the Fall '10 term at MIT.

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Measurement of Displacement Gradient Tensor13 - 12.005...

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