Skip to main content
main-content

Tipp

Weitere Kapitel dieses Buchs durch Wischen aufrufen

2021 | OriginalPaper | Buchkapitel

Thermo-Mechanical Analysis of a Rotor-Bearing System Having a Functionally Graded Shaft with Transverse Breathing Cracks

verfasst von: Debabrata Gayen, Rajiv Tiwari, Debabrata Chakraborty

Erschienen in: Proceedings of the 6th National Symposium on Rotor Dynamics

Verlag: Springer Singapore

share
TEILEN

Abstract

Purpose: The dynamic behavior of two-cracked functionally graded (FG) shaft system under thermal environment has been carried out. The finite element (FE)-based formulation is used to model metal-ceramic FG (SS/ZrO2) shaft using Timoshenko beam theory (TBT). Power law of material gradation is used to derive effective thermo-elastic properties of radially graded FG shaft. Methods: The governing system equations of motion are formulated using Hamilton’s principle. The local flexibility coefficients (LFCs) are derived as functions of material gradient, temperature, size and orientation of crack, for the cracked FG circular cross-sectional FG shaft, using linear elastic fracture mechanics, Castigliano’s theorem and energy method. Results: Numerical simulations are performed to analyze the effects of geometric, material and temperature gradient parameters on the natural frequencies of the cracked FG shaft system. Conclusion: LFCs are functions of material gradient and temperature besides crack size. Even though the reduction in eigenfrequencies is decided by crack parameters, material gradient and temperature, however, the reduction in eigenfrequencies is greatly influenced by gradient index and the index may be selected properly to design FG shafts for high-temperature applications.

Sie möchten Zugang zu diesem Inhalt erhalten? Dann informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

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

  • über 69.000 Bücher
  • über 500 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

Testen Sie jetzt 15 Tage kostenlos.

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 50.000 Bücher
  • über 380 Zeitschriften

aus folgenden Fachgebieten:

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




Testen Sie jetzt 15 Tage kostenlos.

Literatur
1.
Zurück zum Zitat Bever MB, Duwez PE (1972) Invited review gradients in composite materials. Mater Sci Eng 10:1–8 CrossRef Bever MB, Duwez PE (1972) Invited review gradients in composite materials. Mater Sci Eng 10:1–8 CrossRef
2.
Zurück zum Zitat Koizumi M (1993) The concept of FGM. Ceram Trans 34:3–10 Koizumi M (1993) The concept of FGM. Ceram Trans 34:3–10
3.
Zurück zum Zitat Reddy JN, Chin CD (1998) Thermoelastical analysis of functionally graded cylinders and plates. J Therm Stress 21(6):593–626 CrossRef Reddy JN, Chin CD (1998) Thermoelastical analysis of functionally graded cylinders and plates. J Therm Stress 21(6):593–626 CrossRef
4.
Zurück zum Zitat Piovan MT, Sampaio R (2009) A study on the dynamics of rotating beams with functionally graded properties. J Sound Vib 327(1–2):134–143 Piovan MT, Sampaio R (2009) A study on the dynamics of rotating beams with functionally graded properties. J Sound Vib 327(1–2):134–143
5.
Zurück zum Zitat Gayen D, Roy T, Finite element based vibration analysis of functionally graded spinning shaft system. Proc Inst Mech Eng Part C—J Mech Eng Sci 228(18):3306–3321 Gayen D, Roy T, Finite element based vibration analysis of functionally graded spinning shaft system. Proc Inst Mech Eng Part C—J Mech Eng Sci 228(18):3306–3321
6.
Zurück zum Zitat Boukhalfa A (2014) Dynamic analysis of a spinning functionally graded material shaft by the p-version of the finite element method. Lat Am J Solids Struct 11:2018–2038 CrossRef Boukhalfa A (2014) Dynamic analysis of a spinning functionally graded material shaft by the p-version of the finite element method. Lat Am J Solids Struct 11:2018–2038 CrossRef
7.
Zurück zum Zitat Papadopoulos CA (2008) The strain energy release approach for modeling cracks in rotors: A state of the art review. Mech Syst Signal Process 22(4):763–789 CrossRef Papadopoulos CA (2008) The strain energy release approach for modeling cracks in rotors: A state of the art review. Mech Syst Signal Process 22(4):763–789 CrossRef
8.
Zurück zum Zitat Papadopoulos CA, Dimarogonas AD (1987) Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. J Sound Vib 117(1):81–93 Papadopoulos CA, Dimarogonas AD (1987) Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. J Sound Vib 117(1):81–93
9.
Zurück zum Zitat Jun OS, Eun HJ, Earmme YY, Lee CW (1992) Modelling and vibration analysis of a simple rotor with a breathing crack. J Sound Vib 155(2):273–290 CrossRef Jun OS, Eun HJ, Earmme YY, Lee CW (1992) Modelling and vibration analysis of a simple rotor with a breathing crack. J Sound Vib 155(2):273–290 CrossRef
10.
Zurück zum Zitat Sinou J, Lees AW (2005) The influence of cracks in rotating shafts. J Sound Vib 285(4–5):1015–1037 CrossRef Sinou J, Lees AW (2005) The influence of cracks in rotating shafts. J Sound Vib 285(4–5):1015–1037 CrossRef
11.
Zurück zum Zitat Giannopoulos GI, Georgantzinos SK, Anifantis NK (2015) Coupled vibration response of a shaft with a breathing crack. J Sound Vib 336:191–206 CrossRef Giannopoulos GI, Georgantzinos SK, Anifantis NK (2015) Coupled vibration response of a shaft with a breathing crack. J Sound Vib 336:191–206 CrossRef
12.
Zurück zum Zitat Sekhar AS (1999) Vibration characteristics of a cracked rotor with two open cracks. J Sound Vib 223(4):497–512 CrossRef Sekhar AS (1999) Vibration characteristics of a cracked rotor with two open cracks. J Sound Vib 223(4):497–512 CrossRef
13.
Zurück zum Zitat Darpe AK, Gupta K, Chawla A (2003) Dynamics of a two-crack rotor. J Sound Vib 259(3):649–675 CrossRef Darpe AK, Gupta K, Chawla A (2003) Dynamics of a two-crack rotor. J Sound Vib 259(3):649–675 CrossRef
14.
Zurück zum Zitat Yang J, Chen Y (2008) Free vibration and buckling analyses of functionally graded beams with edge cracks. Compos Struct 83(1):48–60 CrossRef Yang J, Chen Y (2008) Free vibration and buckling analyses of functionally graded beams with edge cracks. Compos Struct 83(1):48–60 CrossRef
15.
Zurück zum Zitat Aydin K (2013) Free vibration of functionally graded beams with arbitrary number of surface cracks. Eur J Mech A/Solids 42:112–124 MathSciNetCrossRef Aydin K (2013) Free vibration of functionally graded beams with arbitrary number of surface cracks. Eur J Mech A/Solids 42:112–124 MathSciNetCrossRef
16.
Zurück zum Zitat Gayen D, Chakraborty D, Tiwari R (2018) Free vibration analysis of functionally graded shaft system with a surface crack. J Vib Eng Technol 6(6):483–494 CrossRef Gayen D, Chakraborty D, Tiwari R (2018) Free vibration analysis of functionally graded shaft system with a surface crack. J Vib Eng Technol 6(6):483–494 CrossRef
17.
Zurück zum Zitat Gayen D, Chakraborty D, Tiwari R (2017) Whirl frequencies and critical speeds of a rotor-bearing system with a cracked functionally graded shaft—finite element analysis. Eur J Mech A/Solids 61:47–58 CrossRef Gayen D, Chakraborty D, Tiwari R (2017) Whirl frequencies and critical speeds of a rotor-bearing system with a cracked functionally graded shaft—finite element analysis. Eur J Mech A/Solids 61:47–58 CrossRef
18.
Zurück zum Zitat Gayen D, Chakraborty D, Tiwari R (2017) Finite element analysis for a functionallygraded rotating shaft with multiple breathing cracks. Int J Mech Sci 134:411–423 CrossRef Gayen D, Chakraborty D, Tiwari R (2017) Finite element analysis for a functionallygraded rotating shaft with multiple breathing cracks. Int J Mech Sci 134:411–423 CrossRef
19.
Zurück zum Zitat Gayen D, Tiwari R, Chakraborty D (2019) Finite element based stability analysis of a rotor-bearing system having a functionally graded shaft with transverse breathing cracks. Int J Mech Sci 157–158:403–414 Gayen D, Tiwari R, Chakraborty D (2019) Finite element based stability analysis of a rotor-bearing system having a functionally graded shaft with transverse breathing cracks. Int J Mech Sci 157–158:403–414
20.
Zurück zum Zitat Touloukian YS (1967) Thermophysical properties of high temperature solid materials. Mc Millan, New York Touloukian YS (1967) Thermophysical properties of high temperature solid materials. Mc Millan, New York
21.
Zurück zum Zitat Tada H, Paris PC, Irwin GR (1973) The stress analysis of cracks handbook. Del Research Corporation, Hellertown, Pennsylvania Tada H, Paris PC, Irwin GR (1973) The stress analysis of cracks handbook. Del Research Corporation, Hellertown, Pennsylvania
Metadaten
Titel
Thermo-Mechanical Analysis of a Rotor-Bearing System Having a Functionally Graded Shaft with Transverse Breathing Cracks
verfasst von
Debabrata Gayen
Rajiv Tiwari
Debabrata Chakraborty
Copyright-Jahr
2021
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5701-9_8

Premium Partner

    Marktübersichten

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