FREQUENCY-RESPONSE FUNCTIONS FOR POWER AND CONNECTIVITY

Methods of calculating vibratory power transfer for complex structures by using frequency response functions for power are developed. Connec tivity theory for mobility functions is employed to determine frequenc y response functions for power for connected structures and to develop connectivity relations for power transfer by employing frequency resp onse functions for power. Mobility functions and frequency response fu nctions are computed and compared for two complex structures with diff erent types of damping. The comparisons show that both the mobility me thod and the frequency response function for power method yield identi cal results. An exact relationship for power sharing for all types of force input, equation (7), and a relationship which applies to cases o f high frequencies and random force inputs, equation (9), are derived and employed for selected structural elements. General formulas relati ng power transfer and modal properties are developed by using the freq uency response function for power concept. These formulas give further insight into the role of damping in power transfer relations; see, e. g., equation (36). Frequency response functions for power for many dif ferent structural elements are presented in Tables 1 and 3.