▣Duhamel's integral mii+cu+ku=p(t) u(t)=p()h(i-z)dz 。 Duhamel's integral(convolution integral or superposition integral)is a well-known approach to the solution of transient (or arbitrary load)vibration problems in linear systems.Its development is based on the superposition of the response of the system to a sequence of impulse. Response to unit impulse Unit impulse-response function h-)=2sn[a,t-】1≥r m0, -小.-l12 目 土本程李悦  Duhamel’s integral • Duhamel’s integral (convolution integral or superposition integral) is a well-known approach to the solution of transient (or arbitrary load) vibration problems in linear systems. Its development is based on the superposition of the response of the system to a sequence of impulse.  Response to unit impulse • Unit impulse-response function         0 t mu cu ku u p t d p t t h                1 sin n t D D h t e t t m                      1 sin n n h t t t m             