A New Family of Higher-Order Time Integration Algorithms for the Analysis of Structural Dynamics Academic Article uri icon


  • For the development of a new family of implicit higher-order time integration algorithms, mixed formulations that include three time-dependent variables (i.e., the displacement, velocity, and acceleration vectors) are developed. Equal degree Lagrange type interpolation functions in time are used to approximate the dependent variables in the mixed formulations, and the time finite element method and the modified weighted-residual method are applied to the velocitydisplacement and velocityacceleration relations of the mixed formulations. Weight parameters are introduced and optimized to achieve preferable attributes of the time integration algorithms. Specific problems of structural dynamics are used in the numerical examples to discuss some fundamental limitations of the well-known second-order accurate algorithms as well as to demonstrate advantages of using the developed higher-order algorithms.

published proceedings


author list (cited authors)

  • Kim, W., & Reddy, J. N.

citation count

  • 44

complete list of authors

  • Kim, Wooram||Reddy, JN

publication date

  • July 2017