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The covariance matrix equation of system response is derived.

(20) and (27) into fundamental problem to build the fundamental matrix equation of the problem.

Therefore, this matrix equation of the (k+2 th time layer has a unique solution.

The matrix equation of equilibrium is derived from the variational principle.

The resulting matrix equation of motion is the fractional differential equation.

This procedure gives a matrix equation of static equilibrium and a matrix-eigenvalue problem that can be solved with optimum efficiency.

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This invariably yields matrix equations of greater bandwidth thus increasing implementational and computational costs.

Trying to solve special linear systems [1] leads to solving nonlinear matrix equations of the above types as follows.

Matrix equations of the piezothermoelastic shell laminate are derived, in which mechanical, temperature, and electric force vectors are also defined.

(21) and (22) in the non-dimensional equations of motion and application of general Galerkin method (Leipholz 1987) leads to the following matrix equations of motion.

Finite element formulation of a piezoelastic shell element with non-constant Lamé parameters is briefly reviewed; element and system matrix equations of the piezoelastic shell sensor/actuator/structure laminate are derived.

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