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The modal analysis procedure for calculating the dynamic response of classically damped linear structural systems is reformulated with the objective of developing the physical significance of the elements of the solution and defining modal contribution factors. The resulting concepts are used to develop an approach for predicting how the relative contributions of various modes to the response and the number of modes that should be included in the solution depend on the vibration properties ofdoi:10.1061/(asce)0733-9445(1996)122:5(517) fatcat:bl7rus63ljhknprpgiu3idmnna