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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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Keywords:
- operator matrix/
- eigen-vector expansion theorem/
- elasticity
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] -
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15]
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