Dynamic Response of Tuned Secondary Systems

摘要

Light, flexible, "secondary" systems such as piping, penthouses and antennatowers are often attached to major structures. The purpose of this study is toinvestigate the dynamic response of secondary systems that are tuned to a naturalfrequency' of the primary system.Consideration is first given to simple structural models composed of a single degree-of-freedom secondary system attached to a single-degree-of-freedom primarysystem. Formulas for the response of the secondary system are obtained for variousdamping configurations. The effects of a slight detuning of the secondary systemare also examined.The response expressions are then used to develop estimates for the maximumresponse of the secondary system. The accuracy of these estimates is assessed ina numerical study in which the exact and approximate responses are compared.Lastly, an expression is obtained for the response of a multi-degree-of-freedomtuned secondary system attached to a multi-degree-of-freedom primary system.