chap96 - 1 Dynamic Response Analysis Structural analysis...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Page1 / 5

chap96 - 1 Dynamic Response Analysis Structural analysis...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online