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Generalized mass in structural dynamics refers to a concept that extends the traditional notion of mass to account for the distribution of mass and its effects on a structure's dynamic behavior. It is used in modal analysis to represent how mass contributes to the inertia of a system when subjected to vibrational forces. Generalized mass is calculated by integrating the mass distribution over the structure and is crucial for understanding the natural frequencies and mode shapes of structures in response to dynamic loads. This allows engineers to predict how structures will behave under various loading conditions effectively.

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