Eigen-vector expansion theorem of a class of operator matrices appearing in elasticity and applications | Zendy

Zhang Guo-Ting | Zendy; Junjie Huang | Zendy; Alatancang | Zendy

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Eigen-vector expansion theorem of a class of operator matrices appearing in elasticity and applications

Author(s) -

Zhang Guo-Ting,

Junjie Huang,

Alatancang

Publication year - 2012

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.61.140205

Subject(s) - eigenvalues and eigenvectors , elasticity (physics) , symplectic geometry , operator (biology) , mathematical analysis , orthogonality , mathematics , physics , geometry , biochemistry , chemistry , repressor , quantum mechanics , gene , transcription factor , thermodynamics

For a class of operator matrices appearing in elasticity, the eigen-vector expansion theorem is considered. It is shown that the eigen-vectors possess the symplectic orthogonality. And a necessary and sufficient condition for the completeness of the eigen-vector system is further given. As concrete applications, the obtained results are tested for the plate bending equation and the buckling deflection problem of rectangular thin plates.

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