Design sensitivity analysis of nonlinear structures using endochronic constitutive model

✍ Scribed by S. Y. Jao; J. S. Arora

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 989 KB
• Volume: 10
• Category: Article
• ISSN: 0178-7675
• DOI: 10.1007/bf00370019

✦ Synopsis

Abstraet. The continuum formulation for design sensitivity analysis incorporating the unified endochronic constitutive model described in Part 1 is discretized and implemented using the standard isoparametric finite element procedure. Only the total Lagrangian approach is investigated since it has been concluded to be surperior to the updated Lagrangian approach. Solution of the sensitivity equation and its convergence criterion are reported. Several cases of a ten-member truss under static and dynamic loads are investigated for sensitivity verification for both nonshape and shape design problems. It is concluded that the incremental solution procedure for design sensitivity analysis of history dependent nonlinear problems can give quite accurate sensitivities. However, the equation of motion, constitutive equations and the sensitivity equations must be integrated very accurately. Thus small increments are generally needed and the computational effort for such problems can be substantial.