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Matrix analysis of shells : small and large displacements

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A short resume of the matrix displacement method of structural analysis is given and followed by some essential matrix transformations. The stiffness matrices of parallelogram, rectangular and tria...

A short resume of the matrix displacement method of structural analysis is given and followed by some essential matrix transformations. The stiffness matrices of parallelogram, rectangular and triangular bending elements are developed followed by extensions to consider also membrane stresses. A kinematically consistent idealization of pressure loadings is presented, and the extension of the matrix displacement method to large displacement problems considered. Matrix eigenvalue problems arising in buckling, free vibration and damped vibration are considered and algorithms described for the determination of eigenvalues. Some examples are presented.

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