Experimental analysis of stress fields of rotating structural elements by means of reflection photoelasticity

Peter Frankovský; Oskar Ostertag; Eva Ostertagová; František Trebuňa; Ján Kostka; Marek Výrostek

doi:10.1364/AO.56.003064

Applied Optics
Vol. 56,
Issue 11,
pp. 3064-3070
(2017)
•https://doi.org/10.1364/AO.56.003064

Experimental analysis of stress fields of rotating structural elements by means of reflection photoelasticity

Peter Frankovský, Oskar Ostertag, Eva Ostertagová, František Trebuňa, Ján Kostka, and Marek Výrostek

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Peter Frankovský, Oskar Ostertag, Eva Ostertagová, František Trebuňa, Ján Kostka, and Marek Výrostek, "Experimental analysis of stress fields of rotating structural elements by means of reflection photoelasticity," Appl. Opt. 56, 3064-3070 (2017)

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Abstract

The subject of this paper is an experimental stress analysis of a rotor with a symmetrical arm end and a rotor with an asymmetrical arm end. The main aim of this paper is to test the application of the Harmonic Star Method software developed by the authors. This software analyzes stress states in rotating structural elements. The stress state of the analyzed rotors is caused by centrifugal forces. The experiment was carried out by means of reflection photoelasticity, and the experimental solution was focused on periodical dynamic effects, which required the use of stroboscopic white light. The resulting principal normal stresses were compared with stress values, which were obtained by analytical calculations and by numerical means of the finite element method.

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Equations (11)

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Optical deformation constant $K$ [−]	0.15
Modulus of elasticity $E$ [MPa]	2500
Poisson’s ratio $μ$ [−]	0.38
Maximum temperature [°C]	150
Density $ρ$ [ $kg / m^{3}$ ]	1293

Coordinates of Examined Points $x_{i}$ [mm]	$σ_{red} = σ_{1} - σ_{2}$ [MPa] Determined:
Coordinates of Examined Points $x_{i}$ [mm]	Experimentally	Analytically	Numerically
6.0	1.49	1.58	1.51
14.1	1.12	1.18	1.12
21.6	1.39	1.44	1.41
25.0	1.61	1.66	1.60
29.1	1.80	1.84	1.81
37.2	1.68	1.73	1.72
45.1	1.58	1.62	1.59
52.8	1.52	1.55	1.51
60.5	1.02	1.18	1.11
62.3	0.89	1.01	0.92
67.9	0.50	0.53	0.51
75.0	1.42	1.44	1.41

Coordinates of Examined Points $x_{i}$ [mm]	$σ_{1}$ , $σ_{2}$ [MPa] Determined:
	Experimentally		Analytically		Numerically
	$σ_{1}$	$σ_{2}$	$σ_{1}$	$σ_{2}$	$σ_{1}$	$σ_{2}$
6.0	2.12	0.59	2.13	0.64	2.11	0.61
14.1	1.11	0.00	1.18	0.00	1.12	0.00
21.6	1.38	0.00	1.44	0.00	1.41	0.00
25.0	1.63	0.00	1.68	0.00	1.62	0.00
29.1	1.84	0.00	1.85	0.00	1.83	0.00
37.2	1.70	0.00	1.76	0.00	1.72	0.00
45.1	1.61	0.00	1.68	0.00	1.62	0.00
52.8	1.49	0.00	1.55	0.00	1.51	0.00
60.5	1.14	0.00	1.20	0.00	1.12	0.00
62.3	0.89	0.00	1.01	0.00	0.92	0.00
67.9	0.49	0.00	0.54	−0.01	0.51	0.00
75.0	0.00	−1.42	0.00	−1.45	0.00	−1.40

Coordinates of Examined Points $x_{i}$ [mm]	$σ_{red} = σ_{1} - σ_{2}$ [MPa] Determined:
Coordinates of Examined Points $x_{i}$ [mm]	Experimentally	Analytically	Numerically
6.0	1.20	1.24	1.21
13.2	0.81	0.88	0.82
20.3	1.11	1.20	1.13
24.5	1.29	1.33	1.31
27.4	1.22	1.24	1.21
34.5	1.23	1.25	1.22
41.8	1.13	1.20	1.14
49.3	0.92	0.96	0.89
57.1	0.69	0.75	0.71
62.3	0.81	0.86	0.82
65.4	1.30	1.39	1.33
75.0	0.47	0.53	0.49

Coordinates of Examined Points $x_{i}$ [mm]	$σ_{1}$ , $σ_{2}$ [MPa] Determined:
	Experimentally		Analytically		Numerically
	$σ_{1}$	$σ_{2}$	$σ_{1}$	$σ_{2}$	$σ_{1}$	$σ_{2}$
6.0	1.61	0.50	1.65	0.58	1.59	0.52
13.2	0.79	0.00	0.84	0.00	0.81	0.00
20.3	1.11	0.00	1.17	0.00	1.12	0.00
24.5	1.30	0.00	1.34	0.00	1.29	0.00
27.4	1.21	0.00	1.26	0.00	1.22	0.00
34.5	1.20	0.00	1.24	0.00	1.21	0.00
41.8	1.14	0.00	1.16	0.00	1.12	0.00
49.3	0.91	0.00	0.95	0.00	0.89	0.00
57.1	0.69	0.00	0.77	0.00	0.71	0.00
62.3	0.81	0.00	0.84	0.00	0.79	0.00
65.4	0.91	−0.39	0.92	−0.44	0.89	−0.41
75.0	0.00	−0.51	0.00	−0.55	0.00	−0.49

Abstract

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Figures (17)

Tables (5)

Equations (11)

Applied Optics