Skip to main content

2017 | OriginalPaper | Buchkapitel

21. Similitude Analysis of the Frequency Response Function for Scaled Structures

verfasst von : Mohamad Eydani Asl, Christopher Niezrecki, James Sherwood, Peter Avitabile

Erschienen in: Model Validation and Uncertainty Quantification, Volume 3

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Full-scale testing of the large structures is time consuming and expensive. Scaled-down structures expedite and facilitate the testing process of the large structures. To design a scaled-down structure, a deliberate methodology should be used to ensure the similarity between the full-scale structure and its scaled-down model. Comparison of the frequency response functions of the full-scale structure and its scaled-down model can verify the similarity between two scales. In this study, three composite I-beams with different scales (i.e. small, medium and large) are designed and manufactured. The designed composite I-beams replicate the spar caps and the shear web of a utility-scale wind turbine blade. Frequency response functions of the three beams are measured using a hammer impact test. The scaling laws of the frequency response function are derived using similitude analysis. The derived scaling laws are used to map the frequency response functions of the large and medium beams to that of the small beam. The comparison between the FRF curve of the small beam and the mapped FRF curves of the large and medium beams indicates the similarity of the laminated beams with different scales and demonstrates the effect of the scaling on shear and flexural stiffnesses.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Mandell, J.F., Combs, D.E., Samborsky, D.D.: Fatigue of fiberglass beam substructures. Wind Energy. 16, 99 (1995) Mandell, J.F., Combs, D.E., Samborsky, D.D.: Fatigue of fiberglass beam substructures. Wind Energy. 16, 99 (1995)
2.
Zurück zum Zitat Cairns, D.S., Skramstad, J.D., Mandell, J.F.. Evaluation of hand lay-up and resin transfer molding in composite wind turbine blade structures. In: International SAMPE Symposium and Exhibition: SAMPE, pp. 967–980 (1999). Cairns, D.S., Skramstad, J.D., Mandell, J.F.. Evaluation of hand lay-up and resin transfer molding in composite wind turbine blade structures. In: International SAMPE Symposium and Exhibition: SAMPE, pp. 967–980 (1999).
3.
Zurück zum Zitat Mandell, J.F., Creed Jr., R.J., Pan, Q., Combs, D.W., Shrinivas, M.: Fatigue of fiberglass generic materials and substructures. Wind Energy. 15, 207 (1994) Mandell, J.F., Creed Jr., R.J., Pan, Q., Combs, D.W., Shrinivas, M.: Fatigue of fiberglass generic materials and substructures. Wind Energy. 15, 207 (1994)
4.
Zurück zum Zitat Sayer, F., Post, N., Van Wingerde, A., Busmann, H.G., Kleiner, F., Fleischmann, W., et al.. Testing of adhesive joints in the wind industry. In: European Wind Energy Conference and Exhibition 2009. pp 288–315 (2009). Sayer, F., Post, N., Van Wingerde, A., Busmann, H.G., Kleiner, F., Fleischmann, W., et al.. Testing of adhesive joints in the wind industry. In: European Wind Energy Conference and Exhibition 2009. pp 288–315 (2009).
5.
Zurück zum Zitat Sayer, F., Antoniou, A., van Wingerde, A.: Investigation of structural bond lines in wind turbine blades by sub-component tests. Int. J. Adhes. Adhes. 37, 129–135 (2012)CrossRef Sayer, F., Antoniou, A., van Wingerde, A.: Investigation of structural bond lines in wind turbine blades by sub-component tests. Int. J. Adhes. Adhes. 37, 129–135 (2012)CrossRef
6.
Zurück zum Zitat Zarouchas, D.S., Makris, A.A., Sayer, F., Van Hemelrijck, D., Van Wingerde, A.M.: Investigations on the mechanical behavior of a wind rotor blade subcomponent. Compos. Part B. 43, 647–654 (2012)CrossRef Zarouchas, D.S., Makris, A.A., Sayer, F., Van Hemelrijck, D., Van Wingerde, A.M.: Investigations on the mechanical behavior of a wind rotor blade subcomponent. Compos. Part B. 43, 647–654 (2012)CrossRef
7.
Zurück zum Zitat Jensen, F.M., Falzon, B.G., Ankersen, J., Stang, H.: Structural testing and numerical simulation of a 34 m composite wind turbine blade. In: Fifteenth International Conference on Composite Materials ICCM-15, vol. 76, pp. 52–61 (2006) Jensen, F.M., Falzon, B.G., Ankersen, J., Stang, H.: Structural testing and numerical simulation of a 34 m composite wind turbine blade. In: Fifteenth International Conference on Composite Materials ICCM-15, vol. 76, pp. 52–61 (2006)
8.
Zurück zum Zitat White, D., Musial, W., Engberg, S.. Evaluation of the B-REX fatigue testing system for multi-megawatt wind turbine blades. In: Collection of the 2005 ASME Wind Energy Symposium Technical Papers at the 43rd AIAA Aerospace Sciences Meeting and Exhibit. pp 52–65. White, D., Musial, W., Engberg, S.. Evaluation of the B-REX fatigue testing system for multi-megawatt wind turbine blades. In: Collection of the 2005 ASME Wind Energy Symposium Technical Papers at the 43rd AIAA Aerospace Sciences Meeting and Exhibit. pp 52–65.
9.
Zurück zum Zitat Ilbeigi, S., Chelidze, D.: Reduced order models for systems with disparate spatial and temporal scales. In: Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, vol. 8, pp. 447–455. Springer International Publishing, Orlando (2016) Ilbeigi, S., Chelidze, D.: Reduced order models for systems with disparate spatial and temporal scales. In: Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, vol. 8, pp. 447–455. Springer International Publishing, Orlando (2016)
10.
Zurück zum Zitat Behmanesh, I., Yousefianmoghadam, S., Nozari, A., Moaveni, B., Stavridis, A.: Effects of prediction error bias on model calibration and response prediction of a 10-story building. In: Model Validation and Uncertainty Quantification, vol. 3, pp. 279–291. Springer International Publishing (2016) Behmanesh, I., Yousefianmoghadam, S., Nozari, A., Moaveni, B., Stavridis, A.: Effects of prediction error bias on model calibration and response prediction of a 10-story building. In: Model Validation and Uncertainty Quantification, vol. 3, pp. 279–291. Springer International Publishing (2016)
11.
Zurück zum Zitat Yousefianmoghadam, S., Song, M., Stavridis, A., Moaveni, B.: System identification of a two-story infilled rc building in different damage states. Improving the Seismic Performance of Existing Buildings and Other Structures 2015, pp. 607–618. American Society of Civil Engineers (ASCE), San Francisco (2015) Yousefianmoghadam, S., Song, M., Stavridis, A., Moaveni, B.: System identification of a two-story infilled rc building in different damage states. Improving the Seismic Performance of Existing Buildings and Other Structures 2015, pp. 607–618. American Society of Civil Engineers (ASCE), San Francisco (2015)
12.
Zurück zum Zitat Simitses, G.J., Rezaeepazhand, J.: Structural similitude for laminated structures. Compos. Eng. 3, 751–765 (1993)CrossRef Simitses, G.J., Rezaeepazhand, J.: Structural similitude for laminated structures. Compos. Eng. 3, 751–765 (1993)CrossRef
13.
Zurück zum Zitat Rezaeepazhand, J., Simitses, G.J.: Use of scaled-down models for predicting vibration response of laminated plates. Compos. Struct. 30, 419–426 (1995)CrossRefMATH Rezaeepazhand, J., Simitses, G.J.: Use of scaled-down models for predicting vibration response of laminated plates. Compos. Struct. 30, 419–426 (1995)CrossRefMATH
14.
Zurück zum Zitat Rezaeepazhand, J., Simitses, G.J., Starnes Jr., J.H.: Design of scaled down models for stability of laminated plates. AIAA J. 33, 515–519 (1995)CrossRefMATH Rezaeepazhand, J., Simitses, G.J., Starnes Jr., J.H.: Design of scaled down models for stability of laminated plates. AIAA J. 33, 515–519 (1995)CrossRefMATH
15.
Zurück zum Zitat Simitses, G.J., Rezaeepazhand, J.: Structural similitude and scaling laws for buckling of cross-ply laminated plates. J. Thermoplast. Compos. Mater. 8, 240–251 (1995)CrossRef Simitses, G.J., Rezaeepazhand, J.: Structural similitude and scaling laws for buckling of cross-ply laminated plates. J. Thermoplast. Compos. Mater. 8, 240–251 (1995)CrossRef
16.
Zurück zum Zitat Rezaeepazhand, J., Simitses, G.J., Starnes Jr., J.H.: Design of scaled down models for predicting shell vibration response. J. Sound Vib. 195, 301–311 (1996)CrossRefMATH Rezaeepazhand, J., Simitses, G.J., Starnes Jr., J.H.: Design of scaled down models for predicting shell vibration response. J. Sound Vib. 195, 301–311 (1996)CrossRefMATH
17.
Zurück zum Zitat Rezaeepazhand, J., Simitses, G.J.: Structural similitude for vibration response of laminated cylindrical shells with double curvature. Compos. Part B. 28, 195–200 (1997)CrossRef Rezaeepazhand, J., Simitses, G.J.: Structural similitude for vibration response of laminated cylindrical shells with double curvature. Compos. Part B. 28, 195–200 (1997)CrossRef
18.
Zurück zum Zitat Ilbeigi, S., Chelidze, D.: Model order reduction of nonlinear Euler-Bernoulli beam. In: Nonlinear Dynamics, vol. 1, pp. 377–385. Springer International Publishing (2016) Ilbeigi, S., Chelidze, D.: Model order reduction of nonlinear Euler-Bernoulli beam. In: Nonlinear Dynamics, vol. 1, pp. 377–385. Springer International Publishing (2016)
19.
Zurück zum Zitat Ilbeigi, S., Chelidze, D.: Reduced order models for systems with disparate spatial and temporal scales. Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, vol. 8, pp. 447–455. Springer International Publishing (2016) Ilbeigi, S., Chelidze, D.: Reduced order models for systems with disparate spatial and temporal scales. Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, vol. 8, pp. 447–455. Springer International Publishing (2016)
20.
Zurück zum Zitat Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Predicting the vibration response in subcomponent testing of wind turbine blades. In: Special Topics in Structural Dynamics, vol. 6, pp. 115–123. Springer (2015) Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Predicting the vibration response in subcomponent testing of wind turbine blades. In: Special Topics in Structural Dynamics, vol. 6, pp. 115–123. Springer (2015)
21.
Zurück zum Zitat Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Application of structural similitude theory in subcomponent testing of wind turbine blades. Proceedings of the American Society for Composites, pp. 8–10. San Diego (2014) Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Application of structural similitude theory in subcomponent testing of wind turbine blades. Proceedings of the American Society for Composites, pp. 8–10. San Diego (2014)
22.
Zurück zum Zitat Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Similitude analysis of composite I-beams with application to subcomponent testing of wind turbine blades. In: Experimental and Applied Mechanics, vol. 4, pp. 115–126. Springer (2016) Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Similitude analysis of composite I-beams with application to subcomponent testing of wind turbine blades. In: Experimental and Applied Mechanics, vol. 4, pp. 115–126. Springer (2016)
23.
Zurück zum Zitat Asl, M., Niezrecki, C., Sherwood, J., Avitabile, P.. Similitude analysis of the strain field for loaded composite I-beams emulating wind turbine blades. In: Proceedings of the American Society for Composites: Thirty-First Technical Conference (2016). Asl, M., Niezrecki, C., Sherwood, J., Avitabile, P.. Similitude analysis of the strain field for loaded composite I-beams emulating wind turbine blades. In: Proceedings of the American Society for Composites: Thirty-First Technical Conference (2016).
24.
Zurück zum Zitat Griffith, D.T., Ashwill, T.D.. The Sandia 100-meter all-glass baseline wind turbine blade: SNL100–00. Sandia National Laboratories, Albuquerque, Report NoSAND2011–3779 (2011) Griffith, D.T., Ashwill, T.D.. The Sandia 100-meter all-glass baseline wind turbine blade: SNL100–00. Sandia National Laboratories, Albuquerque, Report NoSAND2011–3779 (2011)
25.
Zurück zum Zitat Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Design of scaled-down composite I-beams for dynamic characterization in subcomponent testing of a wind turbine blade. In: Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, vol. 9, pp. 197–209. Springer International Publishing (2016) Asl, M.E., Niezrecki, C., Sherwood, J., Avitabile, P.: Design of scaled-down composite I-beams for dynamic characterization in subcomponent testing of a wind turbine blade. In: Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, vol. 9, pp. 197–209. Springer International Publishing (2016)
26.
Zurück zum Zitat Eydani, A.M., Niezrecki, C., Sherwood, J., Avitabile, P.: Vibration prediction of thin-walled composite I-beams using scaled models. Thin-Walled Struct. 113, 151–161 (2017) Eydani, A.M., Niezrecki, C., Sherwood, J., Avitabile, P.: Vibration prediction of thin-walled composite I-beams using scaled models. Thin-Walled Struct. 113, 151–161 (2017)
27.
Zurück zum Zitat Reddy, J.N.: Mechanics of Laminated Composite Plates And Shells: Theory and Analysis. Boca Raton, FL. CRC, London (2003) Reddy, J.N.: Mechanics of Laminated Composite Plates And Shells: Theory and Analysis. Boca Raton, FL. CRC, London (2003)
28.
Zurück zum Zitat Vo, T.P., Lee, J.: Flexural–torsional coupled vibration and buckling of thin-walled open section composite beams using shear-deformable beam theory. Pergamon, p. 631 Vo, T.P., Lee, J.: Flexural–torsional coupled vibration and buckling of thin-walled open section composite beams using shear-deformable beam theory. Pergamon, p. 631
Metadaten
Titel
Similitude Analysis of the Frequency Response Function for Scaled Structures
verfasst von
Mohamad Eydani Asl
Christopher Niezrecki
James Sherwood
Peter Avitabile
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-54858-6_21

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.