Topology optimization using difference-based equivalent static loads

Abstract

Topology optimization of crash-related problems usually involves a huge number of design variables as well as nonlinearities in geometry, material, and contact. The Equivalent Static Load (ESL) method provides an approach to solve such problems. This method has recently been extended under the name Difference-based Equivalent Static Load (DiESL) method to employ a set of Finite Element models, each describing the deformed geometry at an individual time step. Only sizing optimization problems were considered so far. In this paper, the DiESL method is extended to topology optimization utilizing a Solid Isotropic Material with Penalization approach (SIMP). The method is tested using an example of a rigid pole colliding with a simple beam, where the intrusion of the pole is minimized. The initial velocity of the pole is varied in order to examine the influence of inertia effects on the optimized structures. It is shown that the results differ significantly depending on the chosen initial velocity and, consequently, that they exhibit inertia effects. This cannot be seen in the results derived by the standard ESL method. Consequently, the results of the DiESL method’s show a considerable improvement compared to those of the standard ESL method.

Multidisciplinary optimization of automotive mega-castings merging classical structural optimization with response-surface-based optimization enhanced by machine learning

“…As outlook we refer to some important methodical improvements for the individual steps. Looking on the first phase, the linearization of nonlinear structural requirements can be improved or automatized by new developments like the DiESL method 48,50,64 , providing a well-defined procedure to linearize crash load cases. The adoption of this methodology would involve several advantages: first, nonlinearities in geometry and material-prominent in crash-would find consideration in the linear auxiliary load cases, resulting in an improved approximation of the actual crash load cases.…”

“…The ESL-procedure has recently been extended by the introduction of the so-called DiESL-method for sizing and topology optimization problems, incorporating nonlinearities in geometry and material. It reportedly results in better approximations in the linear static response sub-problem for nonlinear dynamic problems such as crash 48,50 .…”

Intelligent Assessment Method of Structural Reliability Driven by Carrying Capacity Sustainable Target: Taking Bearing Capacity as Criterion

“…Four load cases were analyzed in this study in static load analysis, 3. According to the literature [25], the constant load was taken as 0.1 surface load was converted to an equivalent joint load [26], where the inner strut was 33 N, on the middle strut was 92.3 N, and on the oute The specific LSs are shown in Figure 7.…”

“…Four load cases were analyzed in this study in static load analysis, as shown in Table 3. According to the literature [25], the constant load was taken as 0.15 kN/m 2 , and the surface load was converted to an equivalent joint load [26], where the joint load on the inner strut was 33 N, on the middle strut was 92.3 N, and on the outer strut was 146 N. The specific LSs are shown in Figure 7. (1) Quarter-span constant loads Quarter-span loads were applied to the first, second, and third bays of radial cables in the experimental model to load the structure.…”