The Earthquake Engineering Online Archive

Dynamic response sensitivity of inelastic structures

Zhang, Yan; Der Kiureghian, Armen

UCB/SEMM-1991/06, Dept. of Civil Engineering, University of California, Berkeley, 1991, 33 pages (500/C23/91/06)

A general finite element solution method for the dynamic response sensitivity of inelastic structures is developed. Employing conditional derivatives, the gradient equation of motion is solved without iteration and by taking advantage of the available solution of the response. Special attention is given to sensitivities with respect to inelastic material parameters, and detailed derivations are made for the J subscript 2 plasticity model with linear hardening rule. The method can be generally applied to any other inelastic material models that have analytically defined yield function and flow rule. The formulation is easily incorporated in existing finite element codes. Numerical examples demonstrate the accuracy and efficiency of the method.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-91-06.pdf (1 MB)