Abstract
Bi-Directional Interpolation Model (BDIM) decided by a threshold is presented in this study to treat intermediate food vehicle frame density elements. Based on BDIM a mathematical model of food vehicle frame topology optimizing is established by integrating the analysis of the traditional interpolation model, only acting on sensitivity with BDIM and acting on sensitivity and rigidity with BDIM under the Gradient Projection Method. And it is exposed that the only acting on sensitivity with BDIM can get a global convergence and boundaries clear optimization results, which provides a new method to resolve the difficult problem of intermediate density elements. This study discusses its application in the field of food transportation vehicle frame.
Highlights
In the field of food vehicle frame food vehicle frame topology optimization, it’s always a key research point for researchers to seek a better and faster way to model and solve
H, H # are the stiffness of element i of the current k and the former k-1 iteration steps. ˲ # is the iteration result of step k-1 of density of element i, ˲ is the optimizing variables of element i of the current iteration step. It can directly adopt the following formula in traditional SIMP food vehicle frame topology optimization to get the sensitivity of design variables influenced by the element stiffness: ( ) ∂Ki xk −1 i
Gradient projection algorithm of food vehicle frame topology optimization: The iteration strategy of design variables based on bi-directional interpolation model combined with the gradient projection algorithm of food vehicle frame topology optimization is as follows:
Summary
In the field of food vehicle frame food vehicle frame topology optimization, it’s always a key research point for researchers to seek a better and faster way to model and solve It can acquire the best distribution of material while containing or improving the performances (Chen and Liu, 2012). Researchers put forward serious modeling method of food vehicle frame structure food vehicle frame topology optimization which including Homogenization method (Guedes and Kikuchin, 1990), Variable density method (Yang and Chuang, 1994), ICM method, Level set method (Sui, 1996) These methods, the Variable Density method is the most popular one, its advantages includes less design variables, better optimization effect, high general applicability and so on. This strategy is called Bi-Directional Interpolation Model (BDIM) (Mlejnek and Schirrmacher, 1993; Zhou and Rozvany, 2001)
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