The generalized method for structural dynamics applications

  • Authors:

  • Sukomal Modak;Elisa D. Sotelino

  • Affiliations:

  • R&D, Computers and Structures, Inc., Berkeley, CA;School of Civil Engineering, Purdue University, 1284 Civil Engineering Building, West Lafayette, IN

  • Venue:
  • Advances in Engineering Software - Engineering computational technology
  • Year:
  • 2002

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Abstract

A new single-step time-integration method for solving structural dynamics problems, termed generalized method, has been developed. Most of the existing single-step solution algorithms are special cases of this method. The derivation of the generalized method starts with the Taylor series approximations of the displacement, velocity, and acceleration between two time-stations. Equilibrium is satisfied in a weighted-average sense over the time-step by means of a weak form of the Galerkin procedure. The displacement, velocity, and acceleration are updated using the truncated Taylor series expressions. Numerical tests have been carried out to demonstrate the validity of the developed method.