Skip to main content

2015 | OriginalPaper | Buchkapitel

A New Direct Method for Updating Mass and Stiffness Matrices with No Spillover

verfasst von : Jiafan Zhang, Huajiang Ouyang, Jun Yang

Erschienen in: Vibration Engineering and Technology of Machinery

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

A direct method for model updating of mass and stiffness matrices of structures without spillover is presented, which requires the knowledge of only the few eigenpairs to be updated of the original undamped model. Upon a necessary and sufficient condition, proposed previously by authors, for the incremental mass and stiffness matrices that modify some eigenpairs while keeping other eigenpairs unchanged, the finite element model updating problem that preserves symmetry and avoids spillover is formulated as a semi-definite programming problem, which can be efficiently solved by existing semi-definite programming algorithms. Numerical examples are given to demonstrate the accuracy and effectiveness of the presented updating method.

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 Friswell MI, Mottershead JE (1995) Finite element model updating in structural dynamics. Kluwer Academic, DordrechtCrossRefMATH Friswell MI, Mottershead JE (1995) Finite element model updating in structural dynamics. Kluwer Academic, DordrechtCrossRefMATH
2.
Zurück zum Zitat Datta BN (2002) Finite-element model updating, eigenstructure assignment, and eigenvalue embedding techniques for vibrating systems. Mech Syst Sig Process 16(1):83–96CrossRef Datta BN (2002) Finite-element model updating, eigenstructure assignment, and eigenvalue embedding techniques for vibrating systems. Mech Syst Sig Process 16(1):83–96CrossRef
3.
Zurück zum Zitat Dascotte E (2007) Model updating for structural dynamics: past, present and future. In: Proceedings of the international conference on engineering dynamics (ICED), Carvoeiro, Algarve, Portugal Dascotte E (2007) Model updating for structural dynamics: past, present and future. In: Proceedings of the international conference on engineering dynamics (ICED), Carvoeiro, Algarve, Portugal
4.
Zurück zum Zitat Datta BN, Sokolov V (2009) Quadratic inverse eigenvalue problems, active vibration control and model updating. Comput Appl Math 8(2):170–191MATHMathSciNet Datta BN, Sokolov V (2009) Quadratic inverse eigenvalue problems, active vibration control and model updating. Comput Appl Math 8(2):170–191MATHMathSciNet
5.
Zurück zum Zitat Baruch M (1978) Optimization procedure to correct stiffness and flexibility matrices using vibration tests. AIAA J 16(11):1208–1210CrossRefMATH Baruch M (1978) Optimization procedure to correct stiffness and flexibility matrices using vibration tests. AIAA J 16(11):1208–1210CrossRefMATH
6.
Zurück zum Zitat Berman A (1979) Mass matrix correction using an incomplete set of measured modes. AIAA J 17(8):1147–1148CrossRef Berman A (1979) Mass matrix correction using an incomplete set of measured modes. AIAA J 17(8):1147–1148CrossRef
7.
Zurück zum Zitat Berman A, Nagy EJ (1983) Improvement of a large analytical model using test data. AIAA J 21(8):1168–1173CrossRef Berman A, Nagy EJ (1983) Improvement of a large analytical model using test data. AIAA J 21(8):1168–1173CrossRef
8.
Zurück zum Zitat Wei F-S (1990) Mass and stiffness interaction effects in analytical model modification. AIAA J 28(9):1686–1688CrossRef Wei F-S (1990) Mass and stiffness interaction effects in analytical model modification. AIAA J 28(9):1686–1688CrossRef
9.
Zurück zum Zitat Kuo YC, Lin WW, Xu SF (2006) New methods for finite element model updating problems. AIAA J 44(6):1310–1316CrossRef Kuo YC, Lin WW, Xu SF (2006) New methods for finite element model updating problems. AIAA J 44(6):1310–1316CrossRef
10.
Zurück zum Zitat Bakir PG, Reynders E, De Roeck G (2007) Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm. J Sound Vib 305(1–2):211–225CrossRef Bakir PG, Reynders E, De Roeck G (2007) Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm. J Sound Vib 305(1–2):211–225CrossRef
11.
Zurück zum Zitat Charbel F, Francois MH (1993) Updating finite element dynamic models using an element-by-element sensitivity methodology. AIAA J 31(9):1702–1711CrossRefMATH Charbel F, Francois MH (1993) Updating finite element dynamic models using an element-by-element sensitivity methodology. AIAA J 31(9):1702–1711CrossRefMATH
12.
Zurück zum Zitat Mottershead JE, Link M, Friswell MI (2011) The sensitivity method in finite element model updating: a tutorial. Mech Syst Sig Process 25(7):2275–2296CrossRef Mottershead JE, Link M, Friswell MI (2011) The sensitivity method in finite element model updating: a tutorial. Mech Syst Sig Process 25(7):2275–2296CrossRef
13.
Zurück zum Zitat Friswell MI, Penny JET (1990) Updating model parameters from frequency domain data via reduced order models. Mech Syst Sig Process 4(5):377–391CrossRef Friswell MI, Penny JET (1990) Updating model parameters from frequency domain data via reduced order models. Mech Syst Sig Process 4(5):377–391CrossRef
14.
Zurück zum Zitat Imregun M, Visser WJ, Ewins DJ (1995) Finite element model updating using frequency response function data – I: theory and initial investigation. Mech Syst Sig Process 9(2):187–202CrossRef Imregun M, Visser WJ, Ewins DJ (1995) Finite element model updating using frequency response function data – I: theory and initial investigation. Mech Syst Sig Process 9(2):187–202CrossRef
15.
Zurück zum Zitat Esfandiari A, Bakhtiari-Nejad F, Sanayei M, Rahai A (2010) Structural finite element model updating using transfer function data. Comput Struct 88:54–64CrossRef Esfandiari A, Bakhtiari-Nejad F, Sanayei M, Rahai A (2010) Structural finite element model updating using transfer function data. Comput Struct 88:54–64CrossRef
16.
Zurück zum Zitat Atalla MJ, Inman DJ (1998) On model updating using neural networks. Mech Syst Sig Process 12(1):135–161CrossRef Atalla MJ, Inman DJ (1998) On model updating using neural networks. Mech Syst Sig Process 12(1):135–161CrossRef
17.
Zurück zum Zitat Marwala T (2010) Finite-element-model updating using computational intelligence techniques, applications to structural dynamics. Springer-Verlag, LondonCrossRefMATH Marwala T (2010) Finite-element-model updating using computational intelligence techniques, applications to structural dynamics. Springer-Verlag, LondonCrossRefMATH
18.
Zurück zum Zitat Carvalho J, Datta BN, Gupta A, Lagadapati M (2007) A direct method for model updating with incomplete measured data and without spurious modes. Mech Syst Sig Process 21(2):2715–2731CrossRef Carvalho J, Datta BN, Gupta A, Lagadapati M (2007) A direct method for model updating with incomplete measured data and without spurious modes. Mech Syst Sig Process 21(2):2715–2731CrossRef
19.
Zurück zum Zitat Mao X, Dai H (2012) Finite element model updating with positive definiteness and no spill-over. Mech Syst Sig Process 28(1):387–398CrossRef Mao X, Dai H (2012) Finite element model updating with positive definiteness and no spill-over. Mech Syst Sig Process 28(1):387–398CrossRef
20.
Zurück zum Zitat Chu MT, Datta BN, Lin WW, Xu SF (2008) Spillover phenomenon in quadratic model updating. AIAA J 46(2):420–428CrossRef Chu MT, Datta BN, Lin WW, Xu SF (2008) Spillover phenomenon in quadratic model updating. AIAA J 46(2):420–428CrossRef
21.
Zurück zum Zitat Zhang JF, Ouyang H, Yang J (2014) Partial eigenstructure assignment for undamped vibration systems using acceleration and displacement feedback. J Sound Vib 333(1):1–12CrossRef Zhang JF, Ouyang H, Yang J (2014) Partial eigenstructure assignment for undamped vibration systems using acceleration and displacement feedback. J Sound Vib 333(1):1–12CrossRef
23.
Zurück zum Zitat Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, CambridgeCrossRefMATH Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, CambridgeCrossRefMATH
24.
Zurück zum Zitat Lin MM, Dong B, Chu MT (2010) Semi-definite programming techniques for structured quadratic inverse eigenvalue problems. Numer Algorithms 53:419–437CrossRefMATHMathSciNet Lin MM, Dong B, Chu MT (2010) Semi-definite programming techniques for structured quadratic inverse eigenvalue problems. Numer Algorithms 53:419–437CrossRefMATHMathSciNet
25.
Zurück zum Zitat Lofberg J (2004) YALMIP: a toolbox for modeling and optimization in MATLAB. In: Proceedings of 2004 IEEE international symposium on computer aided control systems design, Taipei Lofberg J (2004) YALMIP: a toolbox for modeling and optimization in MATLAB. In: Proceedings of 2004 IEEE international symposium on computer aided control systems design, Taipei
Metadaten
Titel
A New Direct Method for Updating Mass and Stiffness Matrices with No Spillover
verfasst von
Jiafan Zhang
Huajiang Ouyang
Jun Yang
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-09918-7_54

    Marktübersichten

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