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Firstly based upon the standard consistent mass matrix a special reduced bandwidth mass matrix is designed.
Subsequently a mixed mass matrix is formulated through a linear combination of the reduced bandwidth mass matrix and the consistent mass matrix.
The formulated consistent mass matrix, however, is approximate.
These difficulties are eliminated using the mass matrix.
Rotary inertia has been included in the consistent mass matrix.
The exact mass matrix and its inverse are full.
A consistent mass matrix is adopted in the present formulation.
A mixed mass matrix for initial conditions is derived.
While for the 2D Kirchhoff plate problem, in order to compute arbitrary frequency in a superconvergent fashion, a mixed mass matrix is formulated through a linear combination of the consistent mass matrix and the reduced bandwidth mass matrix.
Then by introducing the wave propagation angle, the higher order plate mass matrix can be rationally derived from the mixed mass matrix.
The desired higher order mass matrix is then deduced from the mixed mass matrix by optimizing the linear combination parameter to achieve the most favorable order of accuracy.
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