Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Meccanica

Search In Journal Title:

Abbravation: Meccanica

Search In Journal Abbravation:

Publisher

Springer Netherlands

Search In Publisher:

DOI

10.1007/bf03347951

Search In DOI:

ISSN

1572-9648

Search In ISSN:
Search In Title Of Papers:

A gradient based iterative algorithm for solving s

Authors: Yongxin Yuan Hao Liu
Publish Date: 2013/04/23
Volume: 48, Issue: 9, Pages: 2245-2253
PDF Link

Abstract

The procedure of updating an existing but inaccurate model is an essential step toward establishing an effective model Updating damping and stiffness matrices simultaneously with measured modal data can be mathematically formulated as following two problems Problem 1 Let M a ∈SR n×n be the analytical mass matrix and Λ=diagλ 1…λ p ∈C p×p X=x 1…x p ∈C n×p be the measured eigenvalue and eigenvector matrices where rankX=p pn and both Λ and X are closed under complex conjugation in the sense that lambda 2j = barlambda 2j1 innobreakmathbfC x 2j = barx 2j1 inmathbfCn for j=1…l and λ k ∈R x k ∈R n for k=2l+1…p Find realvalued symmetric matrices D and K such that M a XΛ 2+DXΛ+KX=0 Problem 2 Let D a K a ∈SR n×n be the analytical damping and stiffness matrices Find hatD hatK inmathbfS mathbfE such that hatDD a 2+ hatKK a 2= min DK in mathbfS mathbfE DD a 2 +KK a 2 where S E is the solution set of Problem 1 and ∥⋅∥ is the Frobenius norm In this paper a gradient based iterative GI algorithm is constructed to solve Problems 1 and 2 A sufficient condition for the convergence of the iterative method is derived and the range of the convergence factor is given to guarantee that the iterative solutions consistently converge to the unique minimum Frobenius norm symmetric solution of Problem 2 when a suitable initial symmetric matrix pair is chosen The algorithm proposed requires less storage capacity than the existing numerical ones and is numerically reliable as only matrix manipulation is required Two numerical examples show that the introduced iterative algorithm is quite efficient

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. A phase-field model for quasi-incompressible solid–liquid transitions
  2. Acoustics in anisotropic poroelasticity: space–time variational formulation
  3. Acoustics in anisotropic poroelasticity: space–time variational formulation
  4. On the determination of deformation from strain
  5. Centreline velocity decay characterisation in low-velocity jets downstream from an extended conical diffuser
  6. The effects of local thermal nonequilibrium and MFD viscosity on the onset of Brinkman ferroconvection
  7. Numerical calculation of temperature and surface topology during a laser ablation process for ceramic coatings
  8. Limit analysis of masonry circular buttressed arches under horizontal loads
  9. Radiation effects on Marangoni convection boundary layer over a permeable surface
  10. Determination of wheel–rail contact points: comparison between classical and neural network based procedures
  11. An improved hydrodynamic journal bearing with the boundary slippage
  12. Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition
  13. Novel optoelectronic laser interferometric microscope (OELIM) methodology for NDE of microsystems
  14. Optimal control of the deployment (and retrieval) of a tethered satellite under small initial disturbances
  15. Dynamics of medium thickness plates interacting with a periodic Winkler’s foundation: non-asymptotic tolerance modelling
  16. Buckling analysis of sandwich plates with FGM face sheets resting on elastic foundation with various boundary conditions: an analytical approach
  17. 3D exact and 2D generalized differential quadrature models for free vibration analysis of functionally graded plates and cylinders
  18. On the hyperbolicity of a model with 30 moments for ultrarelativistic gases
  19. A note of hybrid GR-SVM for prediction of surface roughness in abrasive water jet machining: a response
  20. Preliminary design of a small-sized flapping UAV: I. Aerodynamic performance and static longitudinal stability
  21. Using shape memory alloys to obtain variable compliance maps of a flexible structure: concept and modeling
  22. MHD stagnation flow of a micropolar fluid through a porous medium
  23. A mesomechanical analysis of the stress–strain localisation in friction stir welds of polycrystalline aluminium alloys
  24. A nonlinear formulation of piezoelectric shells with complete electro-mechanical coupling
  25. Existence and interaction of acceleration wave with a characteristic shock in transient pinched plasma
  26. Shape change and deformation
  27. On the time differential dual-phase-lag thermoelastic model
  28. Isogeometric cable elements based on B-spline curves
  29. A variable stiffness joint with superelastic material
  30. Patient-specific finite element analysis of popliteal stenting
  31. An effective sub-domain smoothed Galerkin method for free and forced vibration analysis
  32. A new test rig for static and dynamic evaluation of knee motion based on a cable-driven parallel manipulator loading system
  33. A two-step damage identification approach for beam structures based on wavelet transform and genetic algorithm
Search Result: