AER 403 Lecture Notes - Lecture 26: Damping Ratio, Inverse Trigonometric Functions, Step Response

• School: Ryerson University
• Department: Aerospace
• Course: AER 403
• Professor: Fengfeng Xi

Document Summary

Aer 403 w 26 the pulse duration the natural frequency. rectangular excitation represents the upper bound: other impulse shapes are bounded by a rectangle, and hence the. 6t(cid:883)< or n< /(cid:885)t(cid:883) fn<1/6t1: the natural period of the isolated system must be six times greater than. Course outline: )ntroduction, shock response spectrum shock isolation, damping effect, transmitting force, energy method. Vibration assignment #4 text: chapter 4 nt(c sin t c cos t) Damping effect: recall damped free vibration is x e (cid:883)d(cid:884)d where d = (cid:523)(cid:883)- (cid:884)(cid:524)(cid:883)/(cid:884) n. Hence, the impulse response is x (v(0) / d )e nt s in d t tp is determined by dx/dt = 0 tan(cid:523) dtp(cid:524)= d/ n (cid:523)assignment (cid:886). (cid:883)(cid:524) tp=(cid:523)(cid:883)/ d(cid:524)tan-1[(1- (cid:884)(cid:524)(cid:883)/(cid:884)/ ] xmax is determined as. X (v(0)/ )e ntp sin t 1/m e ntp sin t max d dp d dp.