Plotting isoclinics for hybrid photoelasticity and finite element analysis

Ragulskis, Minvydas; Ragulskis, L.

doi:10.1007/bf02427888

Cited by 14 publications

(8 citation statements)

References 8 publications

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“…The numerical procedures of constructing photoelastic images on the basis of numerical calculations are described in detail in reference. 8 The numerically constructed image in Fig. 3b shows the same plate but with harmonic kinematic excitation of the upper edge when the amplitude of oscillations corresponds to static kinematic displacement in Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Then the intensity in the photoelastic image of the plane polariscope (isoclinics and isochromatics intertwined) is calculated as: 8 where {P} is the vector of polarization and C is a positive constant dependent on the thickness of the analyzed structure in the state of plane stress and on the material from which it is produced. 8 It can be noted that the intensity is a continuous function in the range from 0 to 1 where 0 corresponds to black color (dark zone) and 1 corresponds to white color (bright zone The intensity of the photoelastic image for the circular polariscope (isochromatics) is calculated as: 8…”

Section: Theoretical Analysismentioning

confidence: 99%

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On Interpretation of Fringe Patterns Produced by Time Average Photoelasticity

Ragulskis

2005

Experimental Techniques

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Theoretical Analysismentioning

confidence: 99%

On Interpretation of Fringe Patterns Produced by Time Average Photoelasticity

Ragulskis

2005

Experimental Techniques

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“…1,2 Such techniques are of high importance when physical processes taking place in the analyzed systems are complex and it is hard to expect that produced results could be directly deduced even by experienced investigators. A typical example is time-average optical holography, 3,4 where the inverse problem of motion reconstruction from the pattern of interference fringes is often an ill-posed problem and does not have unique solutions if the motion of the analyzed structures was not harmonic.…”

Section: Introductionmentioning

confidence: 99%

Applicability of time-average fluid holography for analysis of propagating waves

et al. 2005

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Numerical procedures for construction of digital patterns of fringes mimicking fluid holograms are developed. Because conventional finite-element fluid analysis techniques are based on the approximation of nodal displacements, conjugate smoothing of the values of volumetric strain is performed in order to obtain realistic holographic images. Twodimensional fluid oscillations are analyzed using the developed techniques. It is shown that though time-average fluid holography is a powerful optical experimental method for analysis of short-term transient processes and harmonic vibrations, it has rather limited applicability to studying propagating waves. © 2005 Society of Photo-Optical Instrumentation Engineers.

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“…Therefore there exists a definite need for hybrid numerical -experimental techniques 6,7 that could help to interpret the measurement results. Such techniques usually comprise a numerical model of the system coupled with optical and geometrical parameters of the measurement set-up.…”

Section: Introductionmentioning

confidence: 99%

Construction of digital shadow moire images for the analysis of bending vibrations of a plate

Ostaševičius

Saunorienė

Ragulskis

et al. 2006

Smart Structures and Materials 2006: Modeling, Signal Processing, and Control

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The problem of bending vibrations is common in different engineering and physical applications. Bending vibrations of centrally clamped rotating circular disks play crucial role in functionality of hard disk drives. Lots of efforts are spent for dynamic stabilization, control and measurement of bending vibrations in such micromechanical systems. Nevertheless, measurement of microscopic deflections from the state of equilibrium is a challenging problem. Different optical measurement techniques are developed for experimental investigation of bending vibrations. Shadow moire is one of the popular methods for experimental analysis of bending vibrations of structures. Unfortunately, interpretation of experimental measurement results is a nontrivial inverse engineering problem often having non-unique solutions. Therefore there exists a definite need for hybrid numerical -experimental techniques that could help to interpret the measurement results. The procedure for the generation of digital stroboscopic shadow moiré images for the eigenmodes of bending vibrations of a plate is developed. It is based on the methods of computer graphics and the method of finite elements for the analysis of bending vibrations of a plate. The construction of digital shadow moire images builds the ground for hybrid numerical-experimental procedures and enables to analyze the experimental results with greater precision.

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Plotting isoclinics for hybrid photoelasticity and finite element analysis

Cited by 14 publications

References 8 publications

On Interpretation of Fringe Patterns Produced by Time Average Photoelasticity

On Interpretation of Fringe Patterns Produced by Time Average Photoelasticity

Applicability of time-average fluid holography for analysis of propagating waves

Construction of digital shadow moire images for the analysis of bending vibrations of a plate

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