Displacement Field Approximations for Force‐Based Elements in Large Displacement Analyses

Abstract

This paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation applied in state space, and higher-order displacement approximation utilized again in state space. Using these three approximation fields, the responses and their accuracies in some systems are compared in examples. Finally, focusing on the accuracy and regarding the performed analyses, it seems that the computational cost is reduced and accuracy of responses is elevated in many engineering problems using the higher-order approximation field in state space.

Snap-fit Assembly Process with Industrial Robot Including Force Feedback

“…To treat the deflection of the investigated battery holder, large displacement theory of the beam model is required. The corotational approach 11,12 is often used for flexible structures to handle large rotations of finite elements. Determination of the stability of the equilibrium points is necessary to find the trip point, that is, the border of the stability.…”