Orthogonality of modes they usually also try for completeness being able to describe any arbitrary function with a linear combination of base modes and normality each mode has in some sense an amplitude of 1 but that stuff is beyond the concept of orthogonality . The authors relate the proper orthogonal modes as applied in discrete vibration systems to normal modes of vibration in systems with a known mass matrix in the case of undamped free vibration the proper orthogonal modes converge to the linear normal modes as the amount of data increases. Orthogonality of modes of structures when using the exact transcendental stiffness matrix method article pdf available in shock and vibration 7123 28 january 2000 with 29 reads. On the orthogonality of natural modes of vibration author links open overlay panel f ma ch ng show more upon normalization of the natural modes with respect to the mass matrix the generalized orthogonality of the modes can be expressed in a compact form 5 u t mu i 6
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