la this paper, the principle and experimental results of a method for measuring three-dimensional displacement of objects and its derivative by interference method of image holographic doubly-exposure are introduced.
In addition, dissertate the solution steps concretely for three dimensional displacement discontinuity methods, and analyze implementation principium to the three dimensional boundary element numerical simulative system.
Both three dimensional displacement and the strain function of metal in the deformation zone of continuous tube rolling under the condition of straight line and circular arc side wall pass were confirmed by Ritz's method to solve the minimum energy equation.
In this paper, according to the trait of displacement monitor of NATM and combined with the develop of modern instrument of measure, two new methods of diplacement monitor of tunnel are put forward: “the system of three dimensional displacement monitor” and “the arbitrary point system of peripheral convergence of tunnel”.
It is expected that the comprehensive application of holographic and speckle interferometry to the measurement of a 3-d displacement field would be an effective method for solving practical problems.
Eight key problems are reviewed that are 1 Correlation formula, 2 Search technique, 3 Sub-pixel search, 4 Speckle pattern, 5 Noise reduction, 6 Compensation technique, 7 Displacement field to strain field and 8 3D displacement measuring.
3D position of the object beforeand after deformation are obtained by projection grating method. Registration ofhomologous point is completed by image correlation identification method. 3D displacement is determined by the position difference.
The results show that it is necessary to make some improvements on the C-S turbulent model in the original form, including using direction flow displacement thickness to replace 3D displacement thinckness and considering surface flow angle in definition of outer layer viscous coefficient, and the pressure gradient effects and the transverse/ longitudinal viscosities ratio should be considered in definition of the inner layer viscous coefficient.
The research involves the measurements of the sum of principal stresses in a perspex model, gas temperature fields in 2D and axisymmetric cases, 3D surface shape and 3D displacement field.
According to the actual geological parameters, a geological model was established covering 16 km2 and including 10,400 nodes. The 3D displacement field was matched historically and has been computed by dynamic simulation for 3 successive years. The results agree with the actual data.
The numerical simulation results are verified by experiments, based on this, the velocity and temperature distribution of three-dimensional displacement ventilation system with single and double heat sources are studied.
The mathematical analysis and computer program we have developed uses all 25 measurements to provide a single three-dimensional displacement vector as well as displacement values in the three principal patient dimensions.
In an analysis of our first 30 patients representing over 750 fractions, the mean RMS deviation, that is, the mean three-dimensional displacement from baseline, was 0.468 ± 0.296 mm.
Some error estimates between the approximate solution of these models and the three-dimensional displacement vector field of a flexural or membrane shell have been obtained.
The deformation characteristics of strip was analyzed, and the three-dimensional displacement field, strain field and stress field of deformed strip were got.
Utilizing laser's properties of both polarization and temporal coherence, a real time method of moire interferometry is proposed to obtain the separated 3-D displacement derivative fringe patterns.
Using it, we show analytically for several fully 3-D displacement fields (which are neither plane strain nor plane stress) that the pointwise path-area $$J_{X_1}$$-integral in 3-D is path-independent.
Using a Green's function approach, an explicit procedure is presented to evaluate the 3-D displacement field when the expanding history of the spherical inclusion is given.