Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente |
public:modeles:rotor_38:accueil [2023/02/24 23:17] – ikrambeghdadi | public:modeles:rotor_38:accueil [2024/08/07 16:59] (Version actuelle) – [Natural frequencies] rafaelbarraud |
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</modal> | </modal> |
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===== Original model ===== | ===== About ===== |
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Rotor 38 is part of a research program to study a advanced-core compressor design with a high compression ratio (20:1). It is therefore the fourth stage rotor of this eight stage transonic compressor. Of these eight stages, the first four have been designed and tested : rotors 35, 36, 37 and 38. For more information, here is a link to [[https://ntrs.nasa.gov/citations/19780025165|report from NASA]]. | Rotor 38 is part of a research program to study a advanced-core compressor design with a high compression ratio (20:1). It is therefore the fourth stage rotor of this eight stage transonic compressor. Of these eight stages, the first four have been designed and tested : rotors 35, 36, 37 and 38. For more information, here is a link to [[https://ntrs.nasa.gov/citations/19780025165|a report from NASA]]. |
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* Original technical report [(cite:moore1982design>Moore. «Performance of Single-Stage Axial-Flow Transonic Compressor With Rotor and Stator Aspect Ratios of 1.63 and 1.77, Respectively, and With Design Pressure Ratio of 2.05 » 1982. {{ https://ntrs.nasa.gov/citations/19820014395|pdf}})]: <code>@TechReport{moore1982design, | * Original technical report [(cite:moore1982design>Moore R.D., Reid L. «Performance of Single-Stage Axial-Flow Transonic Compressor With Rotor and Stator Aspect Ratios of 1.63 and 1.77, Respectively, and With Design Pressure Ratio of 2.05 » 1982. {{ https://ntrs.nasa.gov/citations/19820014395|pdf}})]: <code>@TechReport{moore1982design, |
author = {Moore, R. D. and Reid, Lonnie}, | author = {Moore, R. D. and Reid, Lonnie}, |
date = {1982}, | date = {1982}, |
* Picture : | * Picture : |
{{ :public:modeles:rotor_38:gene_aubes_nasa_image_rotor38.png?300 |}} | {{ :public:modeles:rotor_38:gene_aubes_nasa_image_rotor38.png?300 |}} |
<caption>Fig1. https://catalog.archives.gov/id/17466806 </caption> | <caption>Fig. 1 https://catalog.archives.gov/id/17466806 </caption> |
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<code>@Misc{brown1977records, | * <code>@Misc{brown1977records, |
author = {Brown, M.}, | author = {Brown, M.}, |
title = {Rotor 35 - Rotor 38 - Stator 35 in casing. {R}ecords of the {N}ational {A}eronautics and {S}pace {A}dministration, 1903 - 2006. {P}hotographs relating to agency activities, facilities and personnel, 1973 - 2013}, | title = {Rotor 35 - Rotor 38 - Stator 35 in casing. {R}ecords of the {N}ational {A}eronautics and {S}pace {A}dministration, 1903 - 2006. {P}hotographs relating to agency activities, facilities and personnel, 1973 - 2013}, |
note = {\href{https://catalog.archives.gov/id/17466806}{https://catalog.archives.gov/id/17466806}, 1977 }, % for Fig. 1} | year = {1977}, |
| url = {https://catalog.archives.gov/id/17466806}} |
</code> | </code> |
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<callout type="info" icon="true" title="Useful documents"> | <callout type="info" icon="true" title="Useful documents"> |
* [[https://gitlab.lava.polymtl.ca/depots_publics/modeles/catalogue_aubes/-/tree/master/rotor38|downloadable models]] (Git project) | * [[https://gitlab.lava.polymtl.ca/depots_publics/modeles/catalogue_aubes/-/tree/master/rotor38|downloadable models]] (Git project) |
* PDF of the NASA report : {{ :public:modeles:rotor_38:rotor38.pdf |}} | * {{ :public:modeles:rotor_38:rotor38.pdf | NASA technical report}} (.pdf) |
* CSV file of the blade geometry : {{ :public:modeles:rotor_38:rotor38_original.csv |}}, usable as input of OpenMCAD[(cite:Kojtych_2022_gene_aubes>Kojtych S., Batailly A. «OpenMCAD, an open blade generator: from Multiple-Circular-Arc profiles to Computer-Aided Design model» 2022. {{ https://hal.science/hal-03923093|code en libre accès}})] to generate reference blade models. | * {{ :public:modeles:rotor_38:rotor38_original.csv | geometrical parameters file}} (.csv), usable as input of OpenMCAD[(cite:Kojtych_2022_gene_aubes>Kojtych S., Batailly A. «OpenMCAD, an open blade generator: from Multiple-Circular-Arc profiles to Computer-Aided Design model» 2022. {{ https://hal.science/hal-03923093|open source code}})] to generate reference blade models. |
</callout> | </callout> |
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===== Reference blade ===== | ===== Reference blade ===== |
The **reference blade** is defined with multiple-circular arc profiles[(cite:Crouse_1969_computer)] given in the original NASA report[(cite:moore1982design)]. Corresponding models are computed with the open-source code OpenMCAD[(cite:Kojtych_2022_gene_aubes)]. | The **reference blade** is defined with multiple-circular arc profiles[(cite:Crouse_1969_computer)] given in the original NASA report[(cite:moore1982design)]. Corresponding models are computed with the open-source code OpenMCAD[(cite:Kojtych_2022_gene_aubes)]. |
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===== Geometry ===== | ==== Geometry ==== |
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The geometry of rotor 38 is described in the [[https://ntrs.nasa.gov/citations/19820014395|original NASA report]] by the following tables. The length are in centimeters and the angles in degrees. | The geometry of rotor 38 is described in the [[https://ntrs.nasa.gov/citations/19820014395|original NASA report]] by the following tables. The length are in centimeters and the angles in degrees. |
{{ :public:modeles:rotor_38:gene_aubes_nasa_geom_rotor38.png?400 |}} | {{ :public:modeles:rotor_38:gene_aubes_nasa_geom_rotor38.png?400 |}} |
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===== Aerodynamic design ===== | ==== Aerodynamic design ==== |
^ ^ unit ^ values ^ | ^ ^ unit ^ value ^ |
^ pressure ratio | [-] | 2.05 | | ^ pressure ratio | [-] | 2.05 | |
^ mass flow | [kg/s] | 20.2 | | ^ mass flow | [kg/s] | 20.2 | |
^ aspect ratio | [-] | 1.63 | | ^ aspect ratio | [-] | 1.63 | |
^ number of blades | [-] | 48 | | ^ number of blades | [-] | 48 | |
^ rotative speed | [rad/s] | 1800 | | ^ nominal rotation speed $\omega_n$ | [rad/s] | 1800 | |
===== Material properties ===== | ==== Material properties ==== |
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Rotor 38 is made of a 200-grade maraging steel[(cite:reid1978designandoverall>Reid. «Design and overall performance of four highly loaded, high-speed inlet stages for and advanced high-pressure-ratio core compressor» 1978. {{ https://ntrs.nasa.gov/citations/19780025165|pdf}})], but the exact material properties are not provided in the NASA report. | Rotor 38 is made of a 200-grade maraging steel[(cite:reid1978designandoverall>Reid. «Design and overall performance of four highly loaded, high-speed inlet stages for and advanced high-pressure-ratio core compressor» 1978. {{ https://ntrs.nasa.gov/citations/19780025165|pdf}})], but the exact material properties are not provided in the NASA report. The following properties are considered: |
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Considered properties: 18-Ni-200-maraging steel : | ^ ^ unit ^ value ^ |
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^ ^ unité ^ valeurs ^ | |
^ alloy | [-] | 18-Ni-200-maraging | | ^ alloy | [-] | 18-Ni-200-maraging | |
^ Young's modulus | [GPa] | 180 | | ^ Young's modulus | [GPa] | 180 | |
</col> | </col> |
<col md="4"> | <col md="4"> |
{{:public:modeles:rotor_38:38_intra.png?200|}} | {{ :public:modeles:rotor_38:38_intra.png?200 |}} |
<caption>pressure side</caption> | <caption>pressure side</caption> |
</col> | </col> |
<col md="4"> | <col md="4"> |
{{:public:modeles:rotor_38:38_extra.png?200|}} | {{ :public:modeles:rotor_38:38_extra.png?200 |}} |
<caption>suction side</caption> | <caption>suction side</caption> |
</col> | </col> |
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^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ | ^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ |
| 1 | 1B | 3761.51 | 598.663 | | | 1 | 1B | 3761.51 | 598.66 | |
| 2 | 1T | 13484.22 | 2146.08 | | | 2 | 1T | 13484.22 | 2146.08 | |
| 3 | 2B | 14745.63 | 2346.84 | | | 3 | 2B | 14745.63 | 2346.84 | |
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| ====Campbell diagram==== |
| Evolution of the natural frequencies of the first 3 vibration modes, as a function of rotation speed, for the mesh computed with OpenMCAD[(cite:Kojtych_2022_gene_aubes)]: |
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| {{ :public:modeles:rotor_38:campbell_eng_38_ref.png?500 }} |
| <caption>Campbell diagram computed with a linear centrifugal preload, with clamped root (nominal rotation speed ωₙ = 1 800 rad/s)</caption> |
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| * {{ :public:modeles:rotor_38:campbell_eng_38_ref.pdf |graph (.pdf)}} |
| * {{ :public:modeles:rotor_38:campbell_38_ref.csv |Campbell data (.csv)}} |
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===== Initial blade ===== | ===== Initial blade ===== |
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^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ | ^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ |
| 1 | 1B | 3789.68 | 603.147 | | | 1 | 1B | 3789.68 | 603.15 | |
| 2 | 1T | 13601.09 | 2164.68 | | | 2 | 1T | 13601.09 | 2164.68 | |
| 3 | 2B | 14970.57 | 2382.64 | | | 3 | 2B | 14970.57 | 2382.64 | |
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^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ | ^ Mode ^ Type ^ Natural angular frequency (rad/sec) ^ Natural frequency (Hz) ^ |
| 1 | 1B | 3789.92 | 603.185 | | | 1 | 1B | 3789.92 | 603.19 | |
| 2 | 1T | 13606.43 | 2165.53 | | | 2 | 1T | 13606.43 | 2165.53 | |
| 3 | 2B | 14983.45 | 2384.69 | | | 3 | 2B | 14983.45 | 2384.69 | |
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| ====Campbell diagram==== |
| Comparison of the evolution of the natural frequencies of the first 3 vibration modes, as a function of rotation speed for the initial and the reference blade: |
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| {{ :public:modeles:rotor_38:campbell_eng_38_ini.png?500 }} |
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| <caption>Campbell diagram computed with a linear centrifugal preload, with clamped root (nominal speed ωₙ = 1 800 rad/s), |
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| initial blade (orange), reference blade (gray) </caption> |
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| * {{ :public:modeles:rotor_38:campbell_eng_38_ini.pdf |graph (.pdf)}} |
| * {{ :public:modeles:rotor_38:campbell_38_ini.csv |Campbell data (.csv)}} |
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</pane> | </pane> |
</modal> | </modal> |
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===== Modèle original ===== | ===== À propos ===== |
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Le rotor 38 appartient à un programme de recherche visant à étudier une conception de compresseur possédant un grand taux de compression (20:1). Il est donc le rotor du quatrième étage de ce compresseur transsonique de huit étages. Parmi ces huit étages, les quatre premiers ont été conçus et testés, ils correspondent aux rotors 35, 36, 37 et 38. Pour plus d'information, voici un lien vers [[https://ntrs.nasa.gov/citations/19780025165|rapport de la NASA]]. | Le rotor 38 appartient à un programme de recherche visant à étudier une conception de compresseur possédant un grand taux de compression (20:1). Il est donc le rotor du quatrième étage de ce compresseur transsonique de huit étages. Parmi ces huit étages, les quatre premiers ont été conçus et testés, ils correspondent aux rotors 35, 36, 37 et 38. Pour plus d'information, voici un lien vers [[https://ntrs.nasa.gov/citations/19780025165|un rapport de la NASA]]. |
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* Rapport technique original[(cite:moore1982design>Moore. «Performance of Single-Stage Axial-Flow Transonic Compressor With Rotor and Stator Aspect Ratios of 1.63 and 1.77, Respectively, and With Design Pressure Ratio of 2.05 » 1982. {{ https://ntrs.nasa.gov/citations/19820014395|pdf}})]: <code>@TechReport{moore1982design, | * Rapport technique original[(cite:moore1982design>)]: <code>@TechReport{moore1982design, |
author = {Moore, R. D. and Reid, Lonnie}, | author = {Moore, R. D. and Reid, Lonnie}, |
date = {1982}, | date = {1982}, |
url = {https://ntrs.nasa.gov/citations/19820014395}, | url = {https://ntrs.nasa.gov/citations/19820014395}, |
} | } |
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</code> | </code> |
* Photographie : | * Photographie : |
{{ :public:modeles:rotor_38:gene_aubes_nasa_image_rotor38.png?300 |}} | {{ :public:modeles:rotor_38:gene_aubes_nasa_image_rotor38.png?300 |}} |
<caption>Fig1. https://catalog.archives.gov/id/17466806 </caption> | <caption>Fig1. https://catalog.archives.gov/id/17466806 </caption> |
<code>@Misc{brown1977records, | * <code>@Misc{brown1977records, |
author = {Brown, M.}, | author = {Brown, M.}, |
title = {Rotor 35 - Rotor 38 - Stator 35 in casing. {R}ecords of the {N}ational {A}eronautics and {S}pace {A}dministration, 1903 - 2006. {P}hotographs relating to agency activities, facilities and personnel, 1973 - 2013}, | title = {Rotor 35 - Rotor 38 - Stator 35 in casing. {R}ecords of the {N}ational {A}eronautics and {S}pace {A}dministration, 1903 - 2006. {P}hotographs relating to agency activities, facilities and personnel, 1973 - 2013}, |
note = {\href{https://catalog.archives.gov/id/17466806}{https://catalog.archives.gov/id/17466806}, 1977 }, % for Fig. 1} | year = {1977}, |
| url = {https://catalog.archives.gov/id/17466806}} |
</code> | </code> |
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<callout type="info" icon="true" title="Documents utiles"> | <callout type="info" icon="true" title="Documents utiles"> |
* [[https://gitlab.lava.polymtl.ca/depots_publics/modeles/catalogue_aubes/-/tree/master/rotor38|modèles téléchargeables]] (lien vers projet Git) | * [[https://gitlab.lava.polymtl.ca/depots_publics/modeles/catalogue_aubes/-/tree/master/rotor38|modèles téléchargeables]] (lien vers projet Git) |
* PDF du rapport de la NASA : {{ :public:modeles:rotor_38:rotor38.pdf |}} | * {{ :public:modeles:rotor_38:rotor38.pdf | rapport technique original}} de la NASA (.pdf) |
* Fichier CSV de la géométrie : {{ :public:modeles:rotor_38:rotor38_original.csv |}}, utilisable en entrée de OpenMCAD[(cite:Kojtych_2022_gene_aubes>Kojtych S., Batailly A. «OpenMCAD, an open blade generator: from Multiple-Circular-Arc profiles to Computer-Aided Design model» 2022. {{ https://hal.science/hal-03923093|code en libre accès}})] pour générer l'aube de référence | * {{ :public:modeles:rotor_38:rotor38_original.csv | fichier de paramètres géométriques}} (.csv), utilisable en entrée de OpenMCAD[(cite:Kojtych_2022_gene_aubes>)] pour générer l'aube de référence |
</callout> | </callout> |
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===== Aube de référence ===== | ===== Aube de référence ===== |
L'**aube de référence** est définie par des profils de type arcs circulaires multiples[(cite:Crouse_1969_computer>Crouse //et al//. «A computer program for composing compressor blading from simulated circular-arc elements on conical surfaces » 1969. NASA-TN-D-5437. {{ https://ntrs.nasa.gov/citations/19690027504|pdf}})], donnés dans le rapport technique original de la NASA[(cite:moore1982design)]. Les modèles associés sont obtenus avec le code en libre accès OpenMCAD[(cite:Kojtych_2022_gene_aubes)]. | L'**aube de référence** est définie par des profils de type arcs circulaires multiples[(cite:Crouse_1969_computer>Crouse //et al//. «A computer program for composing compressor blading from simulated circular-arc elements on conical surfaces » 1969. NASA-TN-D-5437. {{ https://ntrs.nasa.gov/citations/19690027504|pdf}})], donnés dans le rapport technique original de la NASA[(cite:moore1982design)]. Les modèles associés sont obtenus avec le code en libre accès OpenMCAD[(cite:Kojtych_2022_gene_aubes)]. |
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===== Géométrie ===== | ==== Géométrie ==== |
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La géométrie du rotor 38 est décrite dans le [[https://ntrs.nasa.gov/citations/19820014395|rapport d'origine de la NASA]] par les tableaux suivants. Les grandeurs sont en centimètres et en degrés. | La géométrie du rotor 38 est décrite dans le [[https://ntrs.nasa.gov/citations/19820014395|rapport d'origine de la NASA]] par les tableaux suivants. Les grandeurs sont en centimètres et en degrés. |
{{ :public:modeles:rotor_38:gene_aubes_nasa_geom_rotor38.png?400 |}} | {{ :public:modeles:rotor_38:gene_aubes_nasa_geom_rotor38.png?400 |}} |
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===== Caractéristiques aérodynamiques ===== | ==== Caractéristiques aérodynamiques ==== |
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^ ^ unités ^ valeurs ^ | ^ ^ unités ^ valeurs ^ |
^ allongement | [-] | 1,63 | | ^ allongement | [-] | 1,63 | |
^ nombre d'aubes | [-] | 48 | | ^ nombre d'aubes | [-] | 48 | |
^ vitesse de rotation | [rad/s] | 1800 | | ^ vitesse de rotation nominale $\omega_n$ | [rad/s] | 1800 | |
===== Propriétés matériau ===== | ==== Propriétés matériau ==== |
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Le matériau du rotor 38 est un alliage à base de nickel : un acier maraging de grade 200[(cite:reid1978designandoverall>Reid. «Design and overall performance of four highly loaded, high-speed inlet stages for and advanced high-pressure-ratio core compressor» 1978. {{ https://ntrs.nasa.gov/citations/19780025165|pdf}})], mais ses caractéristiques ne sont pas fournies dans le raport de la NASA. | Le matériau du rotor 38 est un alliage à base de nickel : un acier maraging de grade 200[(cite:reid1978designandoverall>Reid. «Design and overall performance of four highly loaded, high-speed inlet stages for and advanced high-pressure-ratio core compressor» 1978. {{ https://ntrs.nasa.gov/citations/19780025165|pdf}})], mais ses caractéristiques ne sont pas fournies dans le raport de la NASA. Les propriétés considérées sont : |
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Propriétés considérées : alliage 18-Ni-200-maraging | |
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^ ^ unité ^ valeurs ^ | ^ ^ unité ^ valeurs ^ |
</col> | </col> |
<col md="4"> | <col md="4"> |
{{:public:modeles:rotor_38:38_intra.png?200|}} | {{ :public:modeles:rotor_38:38_intra.png?200 |}} |
<caption>intrados</caption> | <caption>intrados</caption> |
</col> | </col> |
<col md="4"> | <col md="4"> |
{{:public:modeles:rotor_38:38_extra.png?200|}} | {{ :public:modeles:rotor_38:38_extra.png?200 |}} |
<caption>extrados</caption> | <caption>extrados</caption> |
</col> | </col> |
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^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ | ^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ |
| 1 | 1B | 3761,51 | 598,663 | | | 1 | 1F | 3761,51 | 598,66 | |
| 2 | 1T | 13484,22 | 2146,08 | | | 2 | 1T | 13484,22 | 2146,08 | |
| 3 | 2B | 14745,63 | 2346,84 | | | 3 | 2F | 14745,63 | 2346,84 | |
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| ====Diagramme de Campbell==== |
| Évolution des fréquences propres des 3 premiers modes, en fonction de la vitesse de rotation, pour le maillage obtenu avec OpenMCAD[(cite:Kojtych_2022_gene_aubes)]: |
| {{ :public:modeles:rotor_38:campbell_38_ref.png?500 }} |
| <caption>diagramme de Campbell calculé avec une précharge centrifuge linéaire, noeuds du pied d'aube encastrés (vitesse nominale ωₙ = 1 800 rad/s)</caption> |
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| * {{ :public:modeles:rotor_38:campbell_38_ref.pdf |graphique (.pdf)}} |
| * {{ :public:modeles:rotor_38:campbell_38_ref.csv |données du Campbell (.csv)}} |
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===== Aube initiale ===== | ===== Aube initiale ===== |
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^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ | ^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ |
| 1 | 1B | 3789,68 | 603,147 | | | 1 | 1F | 3789,68 | 603,15 | |
| 2 | 1T | 13601,09 | 2164,68 | | | 2 | 1T | 13601,09 | 2164,68 | |
| 3 | 2B | 14970,57 | 2382,64 | | | 3 | 2F | 14970,57 | 2382,64 | |
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* pour le modèle réduit : | * pour le modèle réduit : |
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^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ | ^ Mode ^ Type ^ Pulsation propre (rad/sec) ^ Fréquence propre (Hz) ^ |
| 1 | 1B | 3789,92 | 603,185 | | | 1 | 1F | 3789,92 | 603,19 | |
| 2 | 1T | 13606,43 | 2165,53 | | | 2 | 1T | 13606,43 | 2165,53 | |
| 3 | 2B | 14983,45 | 2384,69 | | | 3 | 2F | 14983,45 | 2384,69 | |
| ====Diagramme de Campbell==== |
| Comparaison de l'évolution des fréquences propres des 3 premiers modes, en fonction de la vitesse de rotation, pour l'aube initiale et de référence: |
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</tabs> | {{ :public:modeles:rotor_38:campbell_38_ini.png?500 }} |
</pane> | <caption>diagramme de Campbell calculé avec une précharge centrifuge linéaire, noeuds du pied d'aube encastrés (vitesse nominale ωₙ = 1 800 rad/s), |
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| aube initiale (orange), aube de référence (grise)</caption> |
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| * {{ :public:modeles:rotor_38:campbell_38_ini.pdf |graphique (.pdf)}} |
| * {{ :public:modeles:rotor_38:campbell_38_ini.csv |données du Campbell (.csv)}} |
| </pane> |
| </tabs> |
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