Find the middle natural frequency of vibration of the system considered in Problems 7.34 and 7.35 using the matrix iteration method.

Data From Problem 7.35:-

For the system considered in Problem 7.34, determine the highest natural frequency of vibration of the system using the matrix iteration method.

Data From Problem 7.34:-

The mass and flexibility matrices of a three-degree-of-freedom system are given by

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1 0 0 1 1 [m] = 0 20 and [a] [k]. = = 1 2 2 0 0 1 1 2 3