Response of a Linear Damped Dynamic System to Selected Acceleration Inputs

摘要

The general theory is developed for the response of a single degree of freedom dynamic system to an arbitrary acceleration forcing function. Closed-form solutions are obtained for a variety of discrete pulse shapes using the method of Laplace transforms and the form of the solutions indicated for oscillatory inputs and semiinfinite ramps, in terms of complex Fourier series. A comparison of base and mass excitation of the system is included. In previously published work on this subject, analytical solutions are in general only given for undamped systems; an exception is the response to a sinewave, which appears in many standard tests. The dynamic analysis of the human body usually considers models involving damping, so that in this area there is a definite need for the estensions given. (Author)