FEDEASLab

Solution_Library > Transient_Analysis > LSDOF_Newmark

LSDOF_Newmark

Purpose

determines the response of linear SDOF system to acceleration history with Newmark’s method

Synopsis

[u,udot,uddot] = LSDOF_Newmark (Deltat,omega,p,zeta,u0,udot0)

Description

LSDOF_NEWMARK determines the response of linear SDOF system to acceleration history with Newmark's method
  [U,UDOT,UDDOT] = LSDOF_NEWMARK (DELTAT,OMEGA,P,ZETA,U0,UDOT0)
  function determines the transient response history of linear SDOF system(s) with eigenfrequency(ies)
  in row vector OMEGA, to acceleration history (force/mass) in vector P,
  for damping ratio(s) in row vector ZETA (default=0),
  and initial conditions in row vectors U0 (displacement) and UDOT0 (velocity) (default values=0);
  the time step of integration is DELTAT;
  N.M. Newmark's method from 1959 is used for the numerical integration of the equations of motion;
  the function returns the displacement history(ies) in array U, the velocity history(ies)
  in array UDOT and the acceleration history(ies) in array UDDOT arranged columnwise (column no=frequency no);
  Reference: A.K.Chopra, Dynamics of Structures, 2nd edition, pp. 174-180

Cross-Reference Information

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