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Unformatted text preview: 1 Dynamic Response Analysis Structural analysis under arbitrary time-dependent loading . Also known as transient response analysis . Methods of analysis: Modal method (transformation to modal coordinates) Direct integration method (no transformation) Direct integration method: We start with the EOM ) ( t R KD D C D M = + + and discretize it, that is, write it at discrete time instants: n n n n R KD D C D M = + + where R n is the known value of the forcing at time instant n and the various D terms are the unknown displacement, velocity, acceleration vectors at instant n . 2 Direct Integration Algorithms Instants n =0, 1, 2, correspond to times t =0, t , 2 t , t is the time increment . Hence, we start at t =0 and march in time. The discretized equation of motion is used to express the response at instant n +1 as a function of the response at instant n (and possibly at instant n-1). That is, ) ( or ) ( 1 1 1 t t n n F A D...
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- Spring '08